Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.

Answers

Answer 1

Solution :

1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]

                                     = 0.7

2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]

                                     = 0.75

3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]

                                         [tex]$=\frac{0.55}{0.75}$[/tex]

                                          [tex]$=\frac{11}{15}$[/tex]

4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]

  [tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]

  [tex]$=\frac{0.15}{0.25}$[/tex]

  [tex]$=0.6$[/tex]

5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]

   [tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]

   [tex]$=\frac{0.55}{0.7}$[/tex]

  [tex]$=\frac{11}{14}$[/tex]

6.  [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]

     [tex]$=\frac{0.2}{0.3}$[/tex]

     [tex]$=\frac{2}{3}$[/tex]                              


Related Questions

If 36^12-m = 6^2m, what is the value of m?
=

Answers

Answer:

The answer to your question is m = 6

Step-by-step explanation:

I hope this helps and have a good day!

Answer:

36^12 - m = 6^2m

6^2(12 - m) = 6^2m

24 - 2m = 2m

24 = 4m

m = 6

fertilizer you put 2 qts for every 50 gal of water I only want to use 15gal of water how many qts,pts,cups??? do i put

Answers

Answer is 1.2 pints fertilizer
Step by step
First I’m going to change 2 quarts to 4 pints because we are going for a smaller portion of water to fertilizer
Next you find your rate
50 gal water to 4 pints fertilizer = 12.5 rate
We want to solve for x, 15 gallons water to x fertilizer
50/2 to 15/x
Substitute your rate for x and divide
15/12.5 = 1.2 pints

Create a problem with a quadratic equation that you would solve graphically and solve it.

Answers

The solutions to the quadratic problem are x = -1 and x= 4

Solving Quadratic equations graphically

From the question, we are to create a problem with a quadratic equation and solve graphically

Consider the quadratic equation

x² -3x -4 = 0

The graph of the quadratic equation is shown below

We can observe that the graph cuts the x-axis at the point x = -1 and x = 4

Hence, the solutions to the quadratic problem are x = -1 and x= 4

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F(x) = | sin 3x | -3 find the maximum and minimum value

Answers

Answer:

-2 and -3

Step-by-step explanation:

The minimum of |sin 3x| is 0 and the max is 1 (since the sine function ranges from -1 to 1)

Therefore, the maximum is 1 - 3 = -2 and the minimum is 0 - 3 = -3.

At the city museum, child admission is $5.60 and adult admission is $9.30. On Sunday, 141 tickets were sold for a total sales of 974.60. How many child tickets were sold that day?

Answers

x = child tickets

y = adult tickets

x + y = 141

5.60x + 9.30y = 974.60

y = 141 - x

5.60x + 9.30 ( 141 - x ) = 974.60

5.60x + 1311.3 - 9.30x = 974.60

-3.70x + 1311.3 = 974.60

-3.70x = 974.60 - 1311.3

-3.70x = -336.7

x = 91

91 child tickets were sold that day

Let child ticket be x.
Let adult ticket be y.

x+y=141 (1)
5.6x+9.3y=974.6 (2)

From (1),
5.6x+5.6y=789.6 (3)

(2)-(3)
3.7y=185
y=50

Sub y=50 into (1)
x+y=141
x=91

Therefore x=91 and y=50.
Hence 91 child tickets was sold that day.

Hope it helps : )

What is the complete factorization of the polynomial below?
x³ + 2x² + 4x+8
A. (x-2)(x+ 2i)(x+2i)
B. (x-2)(x+2i)(x-2i)
C. (x+2)(x + 2i)(x+2i)
D. (x+2)(x+2i)(x-2i)

Answers

The complete factorisation of the polynomial given; x³ + 2x² + 4x + 8 as in the task content can be factorised and determined as; Choice D; (x+2)(x+2i)(x-2i).

What is the complete factorisation of the given polynomial; x³ + 2x² + 4x+8?

It follows from the given task content that the polynomial whose factors are to be determined by means of factorisation is; x³ + 2x² + 4x+8.

It follows from observation that one of the zeros of the polynomial expression is at; x = -2.

Consequently, one of the factors of the polynomial in discuss is; (x+2).

x³ + 2x² + 4x+8 = (x+2) (x² - 4i²)

= (x+2)(x+2i)(x-2i)

Consequently, it follows that the complete factorisation of the polynomial is; (x+2)(x+2i)(x-2i).

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HELP !! anyone please i need this done in less than in hour JUST ANSWERS WILL DO

Answers

Answer:

Step-by-step explanation:

Find the area of the triangle with sides 40, 50, and 60.

Answers

The area of the triangle is 1000 unit square

What is the area of a triangle?

The area of a triangle is half the base multiplied by the height

The formula is given as;

Area = 1/2 × b × h

From the information given, the base is given as 50 and the height is 40

Area = 1/ 2 × 50 × 40

Area = 1/ 2 × 2000

Area = 1000 unit square

Thus, the area of the triangle is 1000 unit square

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NO LINKS!!! Please help me with this problem​

Answers

Answer:

length: 8end points: (-8, 1), (0, 1)

Step-by-step explanation:

In the quadratic form ...

  (x -h)² = 4p(y -k)

The value 4p is the length of the latus rectum. It also tells the distance between the vertex (h, k) and the focus (h, k+p).

Application

The value of 4p is given as 8. This means p = 8/4 = 2.

The length of the latus rectum is 8.

The end points of the latus rectum have the same y-value as the focus:

  y = k +p = -1 +2 = 1

The end points of the latus rectum have x-values that are h±2p.

  x = h ± 2p = -4 ± 2·2 = {-8, 0}

The end points of the latus rectum are (-8, 1) and (0, 1).

What type of motion transforms the letter “p” into a “b”?

Answers

The type of motion which transforms the letter “p” into a “b” is; Reflection.

What type of motion transforms the letter “p” into a “b”?

It follows that the task content demands that the type of motion which maps p to b be identified. On this note, it follows that the type of motion in discuss is Reflection. More particularly, a reflection over the horizontal axis most definitely causes this transformation.

Therefore, the motion which transforms the letter “p” into a “b” is; Reflection.

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After flying at an altitude of 500m, a helicopter starts to descend when its ground distance from the landing pad is 11 kilometers. What is the angle of depression for the flight?

Answers

Answer:

2.603 degrees

Step-by-step explanation:

This word problem is talking about a triangle. 500 meters high would be the height and 11 Kilometers would be the base. We should convert kilometers to meters in order to make this easier. 11 kilometers = 11,000 meters.

Height = 500

Base = 11,000

The hypotenuse ends up being 11,011.35777

in order to find the angle of depression (assuming it is a constant rate) we would measure the angle where the hypotenuse meets the base. (11,000 & 11,011.35777) the angle comes out at 2.603 degrees. Hope this helped!

At full price, Melvin would pay 1.679 dollars per liter of gasoline. Using his loyalty card, Melvin only pays 1.439 dollars per liter

Answers

He pays $0.24 less when using his loyalty card.

How much less does Melvin pay per liter when using his credit card?

We know that, without the card, he would pay $1.679 dollars per liter of gasoline.

With his card, he would pay $1.439

To find the relation between the two prices, we just need to take the difference between the two values (a difference is a subtraction).

d = $1.679 - $1.439 = $0.24

He pays $0.24 less when using his loyalty card.

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Continue preparing to analyze the data (step 3): Choose an appropriate numerical summary.

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An appropriate numerical summary is descriptive statistics.

What is a numerical summary?

It should be noted that a numerical summary means a number used to describe specific characteristics of a data set.

In this case, descriptive statistics can be used. This is used to describe the data set.

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What is the center of the circle given the following equation? (x-h)² + (y-k)² = r²​

Answers

Answer:

on a coordinates plane :

The point of coordinates (h , k) is the center of the circle.

Step-by-step explanation:

by definition the expression:

(x-h)² + (y-k)² = r²

is the equation of the circle (in standard form)

Where r is the radius and (h , k) is the center of the circle.

It is the general equation of a circle

Correct answer:

The general equation of a circle is [tex](x - h)^2 + (y - k)^2 = r^2,[/tex]where (h, k) represents the location of the circle's center, and r represents the length of its radius. if we take some entities as [tex]h=4,k=-3[/tex] first has the equation of [tex](x - 4)^2 + (y + 3)^2 = 29[/tex]. This means that its center must be located at (4, –3), and its radius is √29.

Reference link -

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3
If a product costs $15,000 for the first unit and there is
a 15% discount starting on the second unit, a 30%
discount (from the original price) starting on the 4th
unit, what would be the cost for 7 units?

Answers

It would cost $72,000 for 7 units of that product.

The term “discount” refers to the pricing system in which the price of a commodity (goods or services) is lower than its marked price listed price. It is simply to say, 'discount' is a percentage of the listed price. A discount is a kind of price deduction in products that is noticed in consumer transactions, where the buyers have proposed a percentage of rebates on various products in order to boost sales. This rebate offered by the seller to buyer is known as a discount.

Original cost of product = $15,000.

For the second product there is a discount of 15%, thus selling price for the second product = $15,000 x 0.85 = $12750

For the fourth product and on there is a discount of 30%, thus selling price for the fourth product and on = $15,000 x 0.70 = $10500.

Thus total price of 7 units =  $15,000 + $12750x2 + $10500x3

=   $15,000 +   $25,500 + $31500

= $72,000

Thus it would cost $72,000 for 7 units of that product.

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A single card is drawn from each of two decks of 52 cards. What is the probability of getting a heart from the first deck and then a diamond on the second deck?

a)0.09%
b) 6.25%
c)13%
d)52%

Answers

A single card is drawn from each of two decks of 52 cards. The probability of getting a heart from the first deck and then a diamond on the second deck is 6.25%.

Probability means possibility.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

There are 52 cards in a standard deck.

So, the total number of possible outcomes=52

We have to pick a single card from each of decks of 52 cards.

In a deck of 52 cards there are 13 heart cards and 13 diamond cards.

Therefore the probability of getting a heart from the first deck=13/52

And the probability of getting a diamond from the second deck=13/52

Hence the probability of getting a heart from the first deck and then a diamond on the second deck=(13/52)×(13/52)=6.25%

Thus, the probability of getting a heart from the first deck and then a diamond on the second deck is 6.25%.

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Answer:

6.25%

Step-by-step explanation:

I got it right on the test.

According to the tables used by insurance companies, a 47-year old woman has a 0.179% chance of passing away during the coming year. An insurance company charges $204 for a life insurance policy that pays a $100,000 death benefit. What is the expected value for the person buying the insurance?

Answers

The expected value for the person buying the insurance is -25.

How the expected value is calculated?

The expected value is the average gain or loss of an event if the event is repeated a number of times.

Expected value = ∑xP(x)

Calculation:

It is given that,

The probability of a 47-year-old woman passing away during the coming year is 0.179% = 0.00179

The death benefit = $100,000 - $204 = $99,796

The loss from living = -204

Then the expected value = 99796(0.00179) + (-204)(0.99821) = -25

Therefore, the expected value for the person buying the insurance is -25.

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solve (6b^2+5)+(8b-20)

Answers

The sum of the given expression is 6b^2+8b-15

Sum of expression

Given the following expression

(6b^2+5)+(8b-20)

We are to take the sum. On expansion;

6b^2+5 + 8b-20

Collect the like terms

6b^2+8b +5 - 20

6b^2+8b-15

Hence the sum of the given expression is 6b^2+8b-15

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Explain how to draw a line segments that measures 2 7/16 inches. d

Answers

Answer: draw the line using a ruler on which you have identified points 2 7/16 inches apart


Step-by-step explanation:  On your ruler graduated in inches with marks at 1/16-inch intervals, locate the 0 mark and the mark 1/16 inch before the half-inch mark between 2 and 3 inches.Draw your line along the edge of the ruler between the two marks you have identified: 0 and 2 7/16. The line will be 2 7/16 inches

which integer is closest to the third root of -23

Answers

Answer:

The number 23 is prime. Therefore, the cube root of 23 = ∛23 = 2.8439.

Step-by-step explanation:

write an equation in slope -intercept form for the line that passes through the points (8,-3) and has a slope of 3 over 2

Answers

Answer:

y = 3/2x -15

Step-by-step explanation:

y = mx + b this is the slope intercept form.  We need the slope and the y intercept.  The slope (m) has been given (3/2), we just need the b (y-intercept).  We will use the point given to find b.  The point given is (8,-3).  8 is the x term and -3 is the y term.  We will plug them into y = 3/2x + b to solve for b.

y = mx + b

y = (3/2) x + b   The slope was given

-3 = (3/2)(8) + b  Plugged in the given x and y from the point (8, -3)

-3 = 12 + b  I can make 8 into a fraction by putting a 1 under it.

                   (3/2)(8/1).  I can cross cancel to make the number easier to

                    2 and 8 both share the factor 2 so I will divide both numbers

                   by 2 and I will now have (3/1)(4/1).  3x4 is 12 and 1x1 is 1, so

                   12/1 is  the same as 12.

-15 = b      Subtract both sides by 12.  -3-12 is -15

Now that I have the m and the b, I can write the equation in the slope intercept form.  y =  3/2 + (-15) or y = 3/2 -15    

calendario matematico la necesito ya porfa.

Answers

The common difference based on the sequence given is 15.

How to illustrate the sequence?

It should be noted that the sequence given Isa arithmetic sequence.

The common difference will be the second term minus the first term. This will be:

= 101 - 86

= 15

In conclusion, the difference is 15.

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he graphs of y = 3x and y = 3x are shown below.




In general, how does the growth of y = 3x compare to the growth of y = 3x?

The function y = 3x is growing slower than y = 3x.

The function y = 3x is growing faster than y = 3x.

The functions y = 3x and y = 3x are growing at the same rate.

The function y = 3x is growing slower than y = 3x.

Answers

The function which compares the growth of both functions is; The function y = 3x is growing slower than y = 3^x.

Which answer choice correctly compares the growth of the graphs?

The graphs in the task content are given as y=3x which is a linear graph, and y=3^x which is the exponential graph.

Hence, it follows that although both graphs are growing, the graph of function y = 3x is growing slower than y = 3^x.

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If sin(theta)=0.7 what is tan(theta)?

Answers

The value of tan theta from the given. expression is  7/√51

Trigonometry identity

Trigonometry identity are expressions written in terms of sine, cosine and tangents.

Given the following trigonometry values as shown:

sin(theta)=0.7

Convert the decimal to fractions

sin(theta)= 7/10

According to SOH CAH TOA;

sin theta = opp/hyp

Determine the adjacent

adj = √hyp²-opp²

Substitute the values;

adj = √10²-7²

adj = √100-49

adj = √51

Determine the value of tan theta

tan(theta) = opp/adj

Substitute

tan(theta) = 7/√51

Hence the value of tan theta from the given. expression is  7/√51

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A game has an expected value to you of ​$. It costs ​$ to​ play, but if you​ win, you receive​ $100,000 (including your ​$ ​bet) for a net gain of ​$. What is the probability of​ winning? Would you play this​ game? Discuss the factors that would influence your decision.

Answers

The probability of winning this game is 0.003

How to solve for the probability of winning

Let us name p to be the probability of winning the game.

We have the expected value to be 100

100 = probability of winning + 1-p x loss

win = 100000 - 200

We then input in the formula

100 = p*99800 +(1-p) x -200

100 = 99800p - 200 + 200p

Collect like terms

100 + 200 = 99800 + 200p

300 = 100000p

Divide through by 100000

This give the

Probability of winning =  0.003

The probability of winning the game is very low hence I would not play.

The factors that would influence the decision are:

The cost of playingThe expected value

Complete question

A game has an expected value to you of ?$100. It costs ?$200 to? play, but if you win you receive? $100,000 (including your ?$200 ?bet), for a net gain of ?$99,800. What is the probability of? winning

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O. Find the distance between P (10,-7) and Q (7,- 10). Leave your answer in radical
form.

Answers

Answer:

[tex]3 \sqrt{2} [/tex]

Step-by-step explanation:

You can the distance between P(10,-7) and Q(7,-10) by using 'PQ=

[tex] \sqrt{(10 - 7) ^{2} } + \sqrt{ ( - 7 + 10) ^{2} } [/tex]

Also, for example the distance between A(a,b) and B(c,d)

is

[tex] \sqrt{(a - c)^{2} } + \sqrt{(b - d) ^{2} } [/tex]

Answer:

[tex]\sqrt{18}[/tex] or [tex]3\sqrt{2}[/tex] units.

Step-by-step explanation:

To find the distance between two points, we can use the Distance Formula.

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given:

P (10, -7) ⇒ x₁ = 10, y₁ = -7

Q (7, -10) ⇒ x₂ = 7, y₂ = -10

Substitute the given values into the formula and simplify.

[tex]\\\implies d=\sqrt{\bold{(7-10)}^2+\bold{(-10-(-7))}^2}\\\\\implies d=\sqrt{\bold{(-3)}^2+\bold{(-10+7)}^2}\\\\\implies d=\sqrt{9+\bold{(-3)}^2}\\\\\implies d=\sqrt{\bold{9+9}}\\\\\implies d=\sqrt{\bold{18}}\\\\\implies d=\sqrt{\bold{9}\times2}\\\\\implies d=3\sqrt{2}[/tex]

The distance between points P and Q is [tex]\sqrt{18}[/tex] or [tex]3\sqrt{2}[/tex] units.

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Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1700 fish. Absent constraints, the population would grow by 170% per year.

Answers

Answer: 2890

Step-by-step explanation:

a = b x p%

= 1700 x 170%

= 1700 x 1.7

= 2890

the population would be 2890 fish after one year

What is
3/2^2 equal to

Answers

Answer: SQUARE ROOT OF 8

Step-by-step explanation: 2^3^1/2 is SQUARE ROOT OF 8. GOD BLESS

- FRIEND TO DINO

Aperson invest 10,000 shillings for 40 months compounded monthly. Find the accumulated amount If the rate is 5% per annum.​

Answers

hi

monthly interest rate is :     [tex]\sqrt[12]{1.05}[/tex]

So in forty month there will be  :  10 000 * ( [tex]\sqrt[12]{1.05}[/tex] )^40  ≈11 776,06

13)
Medical officials want to determine if birth weights are lower than usual in Southeast Asia. They randomly weigh 100 babies, and they determine that the average birth weight is 6 pounds 8 ounces.
State the variable.
What are the units for the variable?
State the population.
State the sample.
POINTS Out OF
7
What is the individual.
What is the Parameter.
What is the statistic.

Answers

See below for the response to each question

The variable

This is the item that is being surveyed.

The surveyed item is birth weights

Hence, the variable is birth weights

The units of the variable

From the question, we have:

Average birth weight is 6 pounds 8 ounces.

Hence, the units of the variable are pounds and ounces

The population

This is the total number of babies in Southeast Asia

Hence, the population of interest is the babies in Southeast Asia

The individual

This is the people in the survey

Hence, the individual in the study is the 100 babies that were randomly surveyed

The parameter of interest

This is the value that gives the required information.

Hence, the parameter of interest is the average birth weight

What is the statistic involved

The statistic is the average

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Questiestion 5Theframes.O riggingdescribes the addition of the cinematographic cues that the animator aO model sheetO music bedO visual treatment historically, demand has averaged 6105 units with a standard deviation of 243. the company currently has 6647 units in stock. what is the service level? The double dot plot blow shows the quiz scores out of 20 points for two different class periods. Compare the centers and variations of that two populations. Round to the nearest tenth. Write an inference you can draw about the two populations given the least squares regression line y hat= -2.88 1.77x, and a coefficient of determination of 0.81, the coefficient of correlation is: safety: while setting up a micro-boiling point determination you accidently break a capillary tube. you should: Suppose a variable is normally distributed, with mean 248.3 and standard deviation 22.8. A. What is P(200 X 5300)? Select B. What is Plx 2 275)? Select C. What x-values are in the top 10%? I Select Question 15 2 pts Suppose a variable is normally distributed, with mean 248.3 and standard deviation 22.8. A. What is the standard error for a sample of 100? Select] B. What is the probability a sample of 100 will have a sample mean of 240 or less? Select Question 16 3 pts The average weight of an adult male Maine Coon cat is 20 pounds with standard deviation 3.5 pounds. What is the probability an adult male Maine Coon will weigh: A. less than 20 pounds? [ Select B. more than 25 pounds? [ Select C. What are the weights of the heaviest 5% of adult male Maine Coons? [Select Which list shows the compounds in order from most acidic to least acidic? (A) 3>2> 1 (C) 3>1>2 HCC C-H 2 HCO-H 3 H3CHN-H (B) 2>1>3 (D) 1>3>2 Which of the following would be classified as a vascular plant?a. a portobello mushroomb. peat mossc. algaed. a rosebush which conditions should not be present in order for group incentive systems to effectively motivate performance? A. The organizational culture must support group cooperation. B. The group's members must believe they can achieve the objectives. C. There must be group performance measures. D. There must be individual performance measures. Rewrite 36 + 8 using the distributive property with the greatest common factor located in front of the parentheses A logical and probable explanation for the movement of the Earths tectonic plates is:Group of answer choicesa. the breakup of the plates by volcanic eruptions and earthquakesb. the rapid shrinking of Earth's crust as it slowly coolsc. the result of heat convection in the plastic mantle rock which moves the cold brittle crust on topd. the rotation of the Earth causes the plates to drag across the top of the mantle how can one primary mrna result in several polypeptrides with different amino acid sequences? explain the differences among the nominal interest rate, the real interest rate, and the expected real interest rate. which interest is most important to a borrower and lender A bag of pennies weighs 5. 1 kilograms. Each penny weighs 2. 5 grams. About how many pennies are in the bag?A:20B:200C:2,000D:20,000 A thin film of polystyrene of refractive index 1.49 is used as a nonreflecting coating for Fabulite (strontium titanate) of refractive index 2.409.What is the minimum thickness of the film required? Assume that the wavelength of the light in air is 550nm . How many ml is 0.5 g of t-butanol? Simplify the following expression. d/dx integration x^3 8 dp/p^2 d/dx integration x^3 8 dp/p^2 = Summary: How did Deng Xiaoping get started as a leader? (Childhood, anything before his leadership) You need to prepare a solution with a pH of 8, using NaF and HF. What ratio of [base]/[acid] should be used in making the buffer? Please show work1) [base]/[acid] = 2.362) [base]/[acid] = 7.203) [base]/[acid] = 0.144) [base]/[acid] = 4.865) None of the above ratios is correct. An unknown metal with an fcc structure has a density of 10.5 gem, and the edge length of the unit cell is 409 pm. What is the probable identity of the metal? a. Silver (Ag) b. Manganese (Mn) c. Aluminum (Al) d. Samarium (Sm) e. More information is required. 7. Short Answer (show your work)