Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $2,100, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $13 for each 4-cylinder connecting rod and $16 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 5,000 6-cylinder connecting rods and 8,000 4-cylinder connecting rods. Let
x4 = the number of 4-cylinder connecting rods produced next week
x6 = the number of 6-cylinder connecting rods produced next week
s4 = 1 if the production line is set up to produce the 4-cylinder connecting rods; 0 if otherwise
s6 = 1 if the production line is set up to produce the 6-cylinder connecting rods; 0 if otherwise
Required:
Using the decision variables x4 and s4, write a constraint that sets next week.
Answer:
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
Step-by-step explanation:
The cost for the four cylinder production line is [tex]C_4 = \$2,100[/tex]
The cost for the six cylinder production line is [tex]C_6 = \$3,500[/tex]
The manufacturing cost for each four cylinder is [tex]M_4= \$13[/tex]
The manufacturing cost for each six cylinder is [tex]M_6= \$16[/tex]
The weekly production capacity for 4 cylinder connecting rod is [tex]W_4 = 5,000[/tex]
The weekly production capacity for 6 cylinder connecting rod is [tex]W_6 = 8,000[/tex]
Generally the constraint that sets next week are shown below
Generally the constrain that sets next week maximum production of connecting rod for 4 cylinder to W_4 or 0 is
[tex]x_4 \le W_4 * s_4[/tex]
[tex]x_4 \le 5000 * s_4[/tex]
Generally the constrain that sets next week maximum production of connecting rod for 6 cylinder to W_6 or 0 is
[tex]x_6 \le W_6 * s_6[/tex]
[tex]x_6 \le 8,000 * s_6[/tex]
Generally the constrain that limits the production of connecting rods for both 4 cylinder and 6 cylinders is
[tex]x_4 \le W_4 * s_6[/tex]
=> [tex]x_4 \le 5000 * s_6[/tex]
[tex]x_4 \le W_6 * s_4[/tex]
=> [tex]x_4 \le 8000 * s_4[/tex]
[tex]s_4 + s_6 = 1[/tex]
The minimum cost of production for next week is
[tex]U = M_4 * x_4 + M_6 * x_6 + C_4 * s_4 + C_6 * s_6[/tex]
=> [tex]U = 13x_4 + 16x_6 + 2000 s_4 + 3500 s_6[/tex]
choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4
y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7
Answer:
y = 4x +11Step-by-step explanation:
[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]
Substitute values into point slope form
[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]
Collect like terms and simplify
[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]
Answer:
y=4x + 11
Step-by-step explanation:
y = mx + b
y = 4x + b
-1= 4(-3) + b
b= 11
y= 4x + 11
1/2 times 4 /please answer for me :)
Answer:
2
Step-by-step explanation:
1/2*4 = 2
hope this helps
Sixteen years after purchasing shares in a mutual fund for $6200, the shares are sold for $11,000. The the total return is %.
9514 1404 393
Answer:
77.42%
Step-by-step explanation:
The increase in value is ...
(11000/6200 -1) × 100% ≈ 77.42%
Which measure is equivalent to 126 in.?
1 ft = 12 in.
1 yd = 3 ft
Answer:
3.5 yd is your answer
Step-by-step explanation:
First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.
Divide the amount of inches you have with 12.
126/12 = 10.5
Next, solve for yards. It is given to you that 1 yard = 3 feet.
Divide the amount of feet you have with 3.
10.5/3 = 3.5
3.5 yd is your answer
With the money she had saved by working, Jennifer wanted
Answer:a car
Step-by-step explanation:
I need help on thisss
Answer:
1) 4 pots
Left over 2
2) 168 to make 12
122
3) 9
18
Step-by-step explanation:
5 2/5 is ___ 3 1/2, is it greater than or less than
Answer:
5 2/5 > 3 1/2. 5 2/5 is greater than 3 1/2
Step-by-step explanation:
Answer:
I believe that 5 2/5 is greater than 3 1/2
Help APSPPP!!!!!!!!!!!!
Answer:
ok what u need help with
Step-by-step explanation:
The points on a scatterplot increase rapidly. You run a linear regression on
the data. The residual plot shows a pattern, and is low.
Which of these methods would likely result in a better model of the data?
A. Run a quadratic regression on the data and then linearize the data.
B. Linearize the data by taking the log of the response variable, and
then run a linear regression.
C. Linearize the data by taking the logs of both variables, and then
run a linear regression.
D. Linearize the data by taking the log of the response variable, and
then run an exponential regression.
Answer:
B
Step-by-step explanation:
The method that would most likely result in a better model of the data is to :
Linearize the data by taking the log of the response variable, and then run a linear regression.
A linear regression can be expressed as
[tex]log(y) = \beta _{0} + \beta _{1} x[/tex]
The linear regression is applied to improve the model fitting and also helping to linearize the responses which causes an increase in the R-squared value.
Answer:
B
Step-by-step explanation:
What is the y intercept of the line in the graph shown?
The equation of the line is y=__x__
!! QUICK WILL MARK BRAINLIEST !!
Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?
Answer:
I think its 3/2
hope it will help you
Expression to the same value as 10 to the power of six
Answer:
10+10+10+10+10+10=1000000
Step-by-step explanation:
**100** The given data represent the total compensation for 10 randomly selected CEOs and their company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r = 0.1887. What would be the predicted stock return for a company whose CEO made $15 million? What would be the predicted stock return for a company whose CEO made $25 million?
Answer:
Your answer is: Look Below
Step-by-step explanation:
Hope this helped : )
Marking Braniest!!! What is 100÷4÷4÷4
Answer:
1.5625
Step-by-step explanation:
100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625
Answer:
1.5625
This is what I think is the answer
The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 55
Answer:
[tex]P(X = 5) = 0.166[/tex]
Step-by-step explanation:
Given
[tex]Mean = 4.3[/tex]
[tex]x = 5[/tex]
Required
Determine the probability that the order is 5
This question can be answered using Poisson distribution.
[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]
Where
[tex]\alpha[/tex] is used to represent the mean
and
[tex]\alpha = 4.3[/tex]
[tex]x = 5[/tex]
[tex]e = 2.71828[/tex] ---- Euler's constant
So, we have:
[tex]P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}[/tex]
[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}[/tex]
[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}[/tex]
[tex]P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}[/tex]
[tex]P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}[/tex]
[tex]P(X = 5) = \frac{19.9469850243}{120}[/tex]
[tex]P(X = 5) = 0.1662248752[/tex]
[tex]P(X = 5) = 0.166[/tex] Approximated
How do you determine the absolute maximum and minimum values of a continuous function on a closed interval?
Answer:
Steps are detailed below.
Step-by-step explanation:
The steps to determine the absolute maximum and minimum values of a continuous function on a closed interval are;
For example, if we have a function f(x) = x³ - 3x + 2 on the interval (-3, 4)
The steps are;
Step 1:
We will find the first derivative of f(x) which is; f'(x) = 3x² - 3.
Then we will find the critical values of this derivative. The critical values are the values of x that makes f'(x) = 0. But these critical values must fall in between the given interval (-3, 4)
Step 2:
Plug in the critical values gotten in step 1 above into the original f(x) function and note down the answers.
Step 3;
Plug in the endpoint values on the interval (-3, 4) given in the question into the original f(x) function and note down the answers.
Step 4;
The highest and lowest values of f(x) gotten in steps 2 & 3 are the absolute maximum and absolute minimum values respectively of the continuous function f(x).
Write a math expression for total number of sticks in one pack of red sticks and one pack of blue sticks. There’s 8 red in a pack and 12 blue in a pack.
Answer:
8:12
Step-by-step explanation:
It's a ratio!
How many red is there? 8!
How many blue is there? 12!
So red to blue is 8:12!
Answer: The total number of sticks in one pack of red and one pack of blue is (8 + 12).
Step-by-step explanation: it is the answer edmentum gave me
y=-4/5x-5..........................,........
Answer:
what is the question exactly?
Step-by-step explanation:
you just gave me an equation to work with
Use the properties of operations. a. The Commutative Property is true for addition. For example, 7+2= 2+7. Does the Commutative Property apply to subtraction? Is 2-7 equal to 7-2? Explain.
Step-by-step explanation:
Commutative property of addition is a+b=b+a
7+2=9 , 2+7=9
9=9
So, commutative property is true for addition
2-7=-5 , 7-2=5
-5 is not equal to 5
Commutative property does not apply to subtraction
Look at the number below.
6642
How is the value of the digit in the thousands place related to the value of the digit in the hundreds place?
A It is six times greater.
B
It is ten times greater.
С
It is one hundred times greater
The values of the digits are the same.
Answer:
Option (B)
Step-by-step explanation:
Given number is 6642.
Number at ones place = 2
Number at tens place = 4
Number at hundredth place = 6
Number at thousand place = 6
Value of the number at tens place = 4 × 10 = 40
Value of the number at hundreds place = 6 × 100 = 600
Value of the number at thousand place = 6 × 1000 = 6000
Number at thousand place = 10 × (Number at hundreds place)
Therefore, Option (B) will be the answer.
9. Determine whether KM and ST are parallel, perpendicular, or neither. K(-1, -8), M(1,6), S(-2,-6), T(2, 10) A Parallel B Perpendicular C Neither Hint(use slope formula)
Find the cost price. selling price 6097 loss percent=9%
Answer:
6645.73
Step-by-step explanation: 6097 multiplied by .09= 548.73, then you add that to 6097 wich gives you a total of 6645.73
How many gallons are in Two-fifths of a One-half-gallon container of milk?
Answer:
one tenth of a galon
Step-by-step explanation:
I think this is the answer hope this helps (:
7 x7 dived by 5 plz helppppvme
Answer:
Step 1) 7*7 = 49
Step 2) 49/5 = 9.8
Answer:
Step-by-step explanation:
7x7=49, 49 divided by 5=9.8, hope I helped! :P
Factorise fully
-y - 6
this is my last question for today, right answer will be marked brainiest
Answer:
[tex]-(y+6)[/tex]
Step-by-step explanation:
[tex]-y-6\\\\=-(y+6)[/tex]
Answer:
-(y+6)Step-by-step explanation:
[tex] - y - 6[/tex]
Common factor : -1
[tex] - 1(y + 6) = \\ - (y + 6)[/tex]
The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 53 out of 1252 movies with summer release date earned over 400 million dollars. They also counted that out of 544 movies released in the winter, 6 earned over 400 million dollars. Round all answers to four decimal places.
Over 400 million USD Under 400 million USD Total
Summer release 54 1252
Winter release 6 547
Total
Required:
a. What are the hypotheses for testing whether there is a significant difference in the proportion of movies who earn over 400 million dollars for the two release seasons?
b. Calculate the difference in the proportions of movies that earned over 400 million dollars.
Answer:
dont know..................Debbie sells yard art at the local craft show. Each items sells for $15. It costs her $8 to make each item and $25 for her booth fee. Which inequality shows how many items she needs to sell in order to make a profit?
15x > 8(x + 25)
15x > 8x + 25
15x > 8 + 25x
15x < 8x + 25
Answer: 15x > 8(x + 25)
that is what i think i am not very good a math sorry
Step-by-step explanation:
Answer:
15x > 8(x + 25)
Step-by-step explanation:
I think this is the answer
now? A)12 years b] 15 years
c] 194 years d] 21 years
472) The ratio of
heir age arier
471) Ratio of Aashok's age to sandeep's age is 4:3. Ashok will be 26 years old after 6 years. How old is Sandeep
Answer:
Sandeep would be 15 years old.
Step-by-step explanation:
If Ashok is 26 in 6 years he is 20. We need to simplify 20 to 4.
20/4 = 5
So that means Sandeep’s age would be 5 x 3
5 x 3 = 15
20:15 simplified is 4:3
Solve the problem. Use the Central Limit Theorem. The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109.0 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answer:
0.91924
Step-by-step explanation:
Given that :
A normal distribution has ;
Mean (m) = 109.0 inches
Standard deviation (σ) = 10 inches
Sample size (n) = 25
Probability that randomly picked years is less than 111.8 inches
Using the Zscore relation :
Zscore = (x - m) / (σ/√n)
x = score = 111.8 inches
Zscore = (111.8 - 109.0) / (10/√25)
Zscore = (2.8) / (10/5)
Zscore = 2.8 / 2
Zscore = 1.4
P(Z < 1.4) = 0.91924 ( using z probability calculator)
P(Z < 1.4) = 0.91924