Una empresa fabrica dos modelos de DVD: el modelo A y el modelo B. Se dispone de 50 kilogramos de caucho y de 80 horas de mano de obra. Para fabricar un DVD del modelo A se utiliza 1 kilogramo de caucho y 1 horas de trabajo, y para fabricar un DVD del modelo B se utiliza 1 kilogramo de caucho y 2 hora de trabajo. Si la venta le genera una utilidad 30 soles por cada modelo A y 40 soles por cada modelo B. ¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?
Answer:
¿Cuántos DVD de cada tipo debe fabricar y vender para que la utilidad sea máxima?
Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800
Step-by-step explanation:
x : Número de DVD del modelo A
y : Número de DVD del modelo B.
MODELO A MODELO B TOTAL
Cantidad de caucho 1x 1x 50 kg.
Horas de mano de obra 1x 2x 80 horas
U : Utilidad mensual.
La función objetivo, que se debe maximizar, es:
U=30 + 40y
x+ y [tex]\leq 50\\[/tex]
x + 2y [tex]\leq 80[/tex]
x[tex]\geq 0[/tex]
y[tex]\geq 0[/tex]
Las coordenadas de los vértices de la región factibles son:
A (0, 0) B (50, 0) C (20, 30) D(0, 40)
Entonces, se evalúa la función objetivo en cada punto:
U (0, 0) = 30 (0) + 40 (0) = 0
U (50, 0) = 30 (50) + 40(0) = 1500
U (90, 0) = 30 (20) + 40 (30) = 1800
U (0, 40) = 30 (0) + 40 (40) =1600
Por consiguiente U tiene un valor máximo en C , en donde: x =20 , y = 30 .
Se debe fabricar y vender 20 DVD del modelo A y 30 DVD del modelo B. La utilidad máxima es de de S/. 1 800.
30 x 40 y
s.a.
x 0 (3)
y 0 (4)
THIS IS HRW CAN YOU TRY TO HELP!!
Answer:
c
Step-by-step explanation:
Step-by-step explanation:
It's answer is
y = 4x - 6
if x = - 1 Then
y = 4 * (- 4 ) - 6 = - 10
if x = 0
y = 4 * 0 - 6 = - 6
if x = 1
y = 4 * 1 - 6 = - 2
if x = 2
y = 4 * 2 - 6 = 2
hope it will help :)❤
A system of linear equations is shown below. 3x+5y=9 2x+3y=5 which ordered pair shows the solution to the system
Answer:
(-2,3)
Step-by-step explanation:
Given data
the system of linear equation is presented as
3x+5y=9-----1
2x+3y=5-----2
solve simultaneously
3x+5y=9-----1 X 2
2x+3y=5-----2 X3
subtracting 2 from 1
6x+10y=18
-6x+9y=15
0x+y=3
y= 3
put y= 3 in 1
3x+5(3)=9-----1
3x+15=9
3x= 9-15
3x= -6
x= -6/3
x= -2
Hence the ordered pair is (-2,3)
Explain how to solve for x. 3x - 10 = 2 *
Your answer:
Answer:
x = 4
Step-by-step explanation:
3x - 10 = 2 | Given
3x = 12 | Add 10 to both sides to isolate 3x
x = 4 | Divide both sides by 3 to get the value of x
Answer:
4
Step-by-step explanation:
3x - 10 = 2
add
3x = 12
divide
x = 4
3x - 4y =7
3x - 4y =9
Answer:
No solution
Step-by-step explanation:
Helpp please!! 10 points
Write the equation of the line in slope-intercept form that passes through the points (-3,3) and (3,-9).
Answer:
m = -2
Step-by-step explanation:
y = -2x - 3
Help me plzz so I don’t fail
Answer:
A
Step-by-step explanation:
(-2,5)
read the X axis and then y axis
Which of the following ordered pairs, when graphed on a standard
coordinate plane, is located in quadrant I?
______________________________
1.) First you need to graph all the ordered pairs:(I have included the graph below)
2.) Then you determine which pairs are in the top left quadrant:[tex]=(-2\frac{1}{3},\frac{1}{3})[/tex]So your answer is only [tex]\bold{(-2\frac{1}{3},\frac{1}{3})}[/tex].
______________________________
Maderas mayor is watching a car from the ledge of the water tower. The car is directly approaching the water tower. When first noticed, the angle of depression to the car is 58 degrees. When the car stops the angle of depression is 77 degrees. The mayors line of sight is 127 feet above the ground.
Answer:
50 ft
Step-by-step explanation:
HELP ME PLSSSSSS ASAP
Answer:
the answer is 200 mph because you take and divide the 400 miles by 20 mph
Step-by-step explanation:
hi could you please tell me the answer to this?
Answer:
5
Step-by-step explanation:
5
Please help me with this
Answer:
True
Step-by-step explanation:
Cuz if u substitute (3,-3/2) it would work
Y = 1/2x - 3
-3/2 = 1/2(3)-3
-3/2 = 1.5 - 3
-3/2 = -1.5
& -3/2 is -1.5 as a decimal lol
Solve 2^X = 64
6
7
8
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The only number that will equal 64 if it is the power of 2
Someone help please!!
Answer:
y = 6 - 2x
6 - 2 X 0 = 6
6 - 2 X 1 = 4
6 - 2 X 2 = 2
6 - 2 X 3 = 0
6 - 2 X 4 = -2
6 - 2 X 5 = -4
For a=40, simplify 2a divide by 5 is
Answer: 16
Step-by-step explanation:
Rephrase the expression
2a divide by 5
2a/5
Given value
a=40
Substitute the value into the expression
2a/5
=2(40)/5
=80/5
=16
Hope this helps!! :)
Please let me know if you have any questions
How do I graph y=2/3x-4
Step-by-step explanation:
In that equation it tells you that your slope is 2/3. It also tells you that your y intercept is -4. (Remember slope is written in y=mx+b) So first you plot your y value. (Remember that y intercept is up and down and slope is rise/fall over run) So your first point should be located at -4. Now you can began putting in your slope. Since your slope is positive, go up two and go to the right 3 times (rise/run). That's how you graph your equation.
Blue whales have an estimated weight of 3.6 x 104 pounds. James
weighs approximately 1.8 x 102 pounds. How many people who weigh the
same as James would it take to equal the weight of the blue whale?
Write and evaluate the expression. Then, complete the statements. Ten less than the quotient of thirty and a number Evaluate when t=2
Answer:
expression: (30/t) - 10
evaluation: 30/2 - 10 = 5
Step-by-step explanation:
1.Give one real world example in which we use volume of rectangular prisms.
2.Give one real world example in which we use surface area of rectangular prisms.
Answer:
construction workers uses those measurements for buildings and architects
0.15 irrational or rational
Answer:
rational...bcz it can be written in the form of p/q
that's 15/100
it is rational number
Step-by-step explanation:
plz make me brainliest
Explain the prices of dividing two fractions
Answer:
When dividing two fractions, the process is very easy. You simply multiply the numerator fraction by the reciprocal of the denominator fraction. In other words:
[tex]\frac{a}{b} \div \frac{c}{d} \\= \frac{a}{b} \times \frac{d}{c} \\= \frac{a \times d}{b \times c}[/tex]
What is the probability that the number among the 25 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?
Answer:
Step-by-step explanation:
iF we have a normal distribution then the probability is 95.45%.
Prove the divisibility of the following numbers: 51^7−51^6 by 25
Step-by-step explanation:
51^6(51-1)
51^6(50)
odd number × even number = even number
50 Is divisible by 25
Find the measure of the missing side of the triangle.
Answer:
65
Step-by-step explanation:
Using Pythagorean we can say = 33^2 + 56^2 = hypotenus^2
so 1089 + 3136 = 4225
and 4225 rooted = 65
Answer:
65.
You would have to use the Pythagorean theorem in order to find the Hypotenuse (Side that is missing)
Step-by-step explanation:
The equation is:
C = a^2 + b^2 - square root of the answer.
So it would be set up like this.
56^2 = 3136
33^2 = 1089
1089 + 3136 = 4225.
The square root of 4225 is 65.
Thus, 65 is the answer.
Hope this helps!
PLEASE HELP ME ASAP!!!!!!!!!!!!!!!!!
Question is attached
WINNER GETS BRAINLIEST!!!!!!! Good Luck
Answer:
a- 320 and b- 20
1.Solve the equation
a - 6 = 13
Answer:
19
Step-by-step explanation:
Given
a - 6 = 13
a = 13 + 6
a = 19
Hope it will help :)
x=10 and y=10 is it intercepting parallel or same line?
Answer:
Parallel lines have the same slope. Because the functions \displaystyle f\left(x\right)=2x+3f(x)=2x+3 and \displaystyle j\left(x\right)=2x - 6j(x)=2x−6 each have a slope of 2, they represent parallel lines. Perpendicular lines have negative reciprocal slopes. Because −2 and \displaystyle \frac{1}{2}
2
1
are negative reciprocals, the equations, \displaystyle g\left(x\right)=\frac{1}{2}x - 4g(x)=
2
1
x−4 and \displaystyle h\left(x\right)=-2x+2h(x)=−2x+2 represent perpendicular lines.
Answer:
Intercepting.
Step-by-step explanation:
The line x=10 is a straight vertical line going through all the points where x=10, as the equation suggests.
The line y=10 is a horizontal line going through all the points where y=10.
When you graph them, they intersect in a perfect cross.
A mermaid has a terrarium that measures 42 inches × 10 inches × 9 inches. She also has a box that measures 3 inches × 3 inches × 3 inches. Every minute, the mermaid fills the box with sand from her backyard and then pours the sand into the terrarium. How many minutes does it take the mermaid to fill three-quarters of the terrarium with sand?
9514 1404 393
Answer:
105 minutes
Step-by-step explanation:
The volume of the terrarium is ...
V = LWH
V = (42 in)(10 in)(9 in) = 3780 in³
The volume of a box is ...
V = (3 in)(3 in)(3 in) = 27 in³
Then the number of boxes it takes to fill the terrarium is ...
(3780 in³)/(27 in³/box) = 140 boxes
The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...
it will take 105 minutes to fill 3/4 of the terrarium
MARKING BRAINLIEST!!
Answer:
6a and a(2*3) and 2(a+2a)
Step-by-step explanation:
2*3a=6a