Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?

Answers

Answer 1

Answer:

x₁ = 60 pantalón de buzo

x₂ = 0  casaca

z(max) = 540 unidades de monedas

Step-by-step explanation:

El problema se resolverá usando un software de solución de problemas de optimización (integer linear programming solver)

z = 9*x₁ + 12*x₂       a maximizar

Sujeto a:

1) Primera restricción disponibilidad de algodón 500 m de tela

1*x₁ + 2*x₂   ≤ 500

2)Segunda restricción disponibilidad de poliester  520 m de tela

2*x₁ + 1*x₂ ≤ 520

3) Tercera restricción  tiempo disponible 8 h/d * 5 d/s = 40 h/s

40 * 60  = 240 minutos disponibles, entonces

4*x₁ + 10*x₂  ≤ 240

4)Restricciones generales  x₁ ≥ 0 ;   x₂ ≥ 0 ambas solo deben tomar valores enteros

Con el uso del calculador en línea se obtiene:

x₁ = 60

x₂ = 0

z(max) = 540


Related Questions

Hillary needs to know if the triangle shown is a right triangle. Which equation should she use to help?

Answers

Answer:

a2+b2=c2

Step-by-step explanation:

A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.


A thermometer read -17° F at 1:00 a.m. By 2:30 a.m., the temperature had dropped 9.1° F. What was the temperature at 2:30
a.m.?

Answers

Answer:

-26.1°

Step-by-step explanation:

So when the temperature decreases, you want to get more negative. So -17°-9.1°=-26.1°

Convert 1,152 inches into yards using fractions

Answers

Answer:

8/9 yards

Step-by-step explanation:

Anthony wants to make a discretionary purchase of a basic laptop computer. He checks the prices of a particular make and model listed by seven different venders on a shopping comparison website. He found these prices: $850, $798, $2,400, $790, $836, $700, and $780. He computes the mean as $1022.

Answers

Answer:

He computes the mean as $1,022.

Step-by-step explanation:

Lainey bought a set of 20 markers for $6
What is the cost for 1 marker?

Answers

Answer:

30¢

Step-by-step explanation:

$6 ÷ 20 = $0.30

Can y’all help me on this one

What’s the answer?

Answers

Answer:

x = 2

Step-by-step explanation:

First translate the image into an equation using the key. Once you do that, your equation should look like this:

(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)

________________________________

3x - 5 = -2x + 5

(given)

________________________________

3x - 5 = -2x + 5

+5. +5

(addition property of equality)

*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*

__________________________

3x = -2x + 10

+2x +2x

(addition property of equality)

*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*

________________________________

5x = 10

÷5. ÷5

(division property of equality)

*divide by 5(GCF) on both sides to isolate

x by itself*

________________________________

x = 2

________________________________

If you want to test this solution, substitute this back into the equation.

x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1

What is the factored form of the
polynomial? x^2+ 19x + 60
Help

Answers

Answer:

(x+15)(x+4)

Step-by-step explanation:

Find the equation of the line passing through the points (-2,-4) and (7,23)

Answers

Answer:

y=−5.4x

Step-by-step explanation:

Slope -5.4

Intercept -14.80

Can you guys help me with finding the answer to this?

Answers

The answer is adjacent I believe

what is the coefficient of the term 12p in the expression 12p+9q​

Answers

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12,

Step-by-step explanation:

12 is the coefficient because it is the number multiplied by the variable p in the equation.

If the volleyball team washes 10 more cars, then they will have met their overall goal of
washing 60 cars to raise money for their season. Let c represent the number of cars that
the volleyball team has washed so far. Which of the following equations can be used to
solve for c?

Answers

Answer:

Step-by-step explanation:

60-10=50

they washed 50 cars.

division 6=7??????????

Answers

The answer is 42 :) pls mark Brainliest <3
The answer is 42. To get there you just multiply the 6 by the 7:) Hope that helps!

What is √5⋅√7+2√35 expressed in simplified form?

Answers

answer:
3√35
mark me brainliest please!!

Answer:

3√35

Step-by-step explanation:

since √(ab) = √a·√b you can write √5·√7 as √35

So you have √35 + 2√35 = 3√35

To win at Lotto in a certain state, one must correctly select 6 numbers from a Corbin of 52 numbers (one through 52). The order in which the selecting is made does not matter. How many different selections are possible?

Answers

Answer:

the answer is ... look down below

Step-by-step explanation:

52 divided by 6 equals 8.66

-6K – 3 = 39. Please solve this equation for K. Type your work in.

Answers

Answer:

k = -7

Step-by-step explanation:

-6k-3 = 39

Add 3 to each side

-6k-3+3 = 39+3

-6k = 42

Divide each side by -6

-6k/-6 = 42/-6

k = -7

x=4/9,y=1/2, and z=3/5 6wy-3z

Answers

Answer: The answer would be - 7/5 or (-0.46)

Plug in the numbers that each letter equals. So you get 6(4/9)(1/2) - 3(3/5). Then you just simplify.

what is the sales tax if a $9,895 purchase will have $809.41 of sales tax added to it? round to one decimal place ​

Answers

Answer:

8.2%

Step-by-step explanation:

9,895x = 809.41

x = 0.08179 or 8.2%

Write 81% as a fraction. There is no need to simplify your answer.​

Answers

Answer:

81/100

Step-by-step explanation:

Answer:

81/100

Step-by-step explanation:

88.403 887.304 887.043
Greatest to least

Answers

Answer:

887.304, 887.043, 88.403

Greatest         to         least

The ratio of Vicki's savings to Donna's savings is 4 : 7. Vicki saved $225 less than Donna. How much money did Vicki save?​

Answers

Answer:

300

Step-by-step explanation:

4:7

7-4=3

225/3=75

75x4=300

A man bought two books for RS 1040. He sold one at a loss of 15% and other at a profit of 36% then he found that each book was sold for the same price. Find the cost price of each book.​

Answers

Answer:

640 & 400

Step-by-step explanation:

Cost of books: x and 1040-x

x sold at a loss of 15%= .85 x

1040 - x sold at a profit of 36% = (1040 - x) *1.36

x*.85= (1040-x)*1.36

0.85x+1.36x= 1040*1.36

2.21x= 1414.4

x= 1414.4/ 2.21

x= Rs. 640

Rs. 1040 - 640 = 400

55 points and Brainliest!

Answers

I believe it's a 45 degree angle

Answer:

Um

Step-by-step explanation:

Find the 7th term in the sequence -1,2,-4,8

Answers

Answer:   -64

=======================================

Work Shown:

We have a geometric sequence

a = first term = -1

r = common ratio = (second term)/(first term) = 2/(-1) = -2

nth term

a(n) = a*(r)^(n-1)

a(n) = -1*(-2)^(n-1)

Now plug in n = 7 to get the 7th term

a(n) = -1*(-2)^(n-1)

a(7) = -1*(-2)^(7-1)

a(7) = -1*(-2)^6

a(7) = -1*(64)

a(7) = -64

The first seven terms are

-1, 2, -4, 8, -16, 32, -64

To get each new term, we multiply the last term by the common ratio -2

First, we need to find the rule for the sequence.
There’s not really an exact way to do this, you just have to look for a pattern.
This sequence follows the following notation:
An= -(-2^(n-1))
Then, we can plug 7 in for n.
A7 = -(-2^(n-1))
A7=-(-2^6)
A7=-64

In the sequence, 2, 5, 8, 11, …, which expression describes the number
after x? Explain your choice.
Group of answer choices

x+3

x-3

x/3

3x

Answers

Answer:

the first one x+3 is the right answer

what is 50 divided by 6. explain

Answers

Answer:

8.333333333 repeating

Step-by-step explanation:

do the equation for 50/6 and you will get 8.3333 repeating

The quotient is 50 ÷ 6 = 8 1/3, which represents 50 divided by 6 equals 8 remainders 3 or written as a mixed number, 8 1/3.

To calculate 50 divided by 6, we perform a division operation to determine how many times 6 can be evenly divided into 50.

When dividing, we start with the largest possible quotient, which is 8 in this case (as 8 * 6 = 48).

We subtract 48 from 50, resulting in a remainder of 2. Since the remainder is not zero, we need to continue the division.

Now, we bring down the next digit, which is 0, making the dividend 20. We divide 20 by 6, which gives us a quotient of 3 with no remainder.

Therefore, 50 divided by 6 equals 8 remainders 3, or written as a mixed number, 8 1/3.

The quotient represents the number of times 6 can be evenly divided into 50, and the remainder represents the amount left over.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ6

Graph g(x) = -8 2 +1.

Answers

Answer:

x= -82+1

x= -81

Step-by-step explanation:

i hope it is help full

The graph of -82 + 1 would just be a line at x = -81. Is this the wrong function?

find the perimeter of a circle whose diameter is 12.6 cm please help and show working​ don't say that you have it to collect my points​

Answers

Answer:

C = 39.58cm

Step-by-step explanation:

2 * 3.14159 * 6.3

6.28318 * 6.3

39.584034

Answer:

see below

Step-by-step explanation:

The perimeter of a circle is called the circumference

C = pi *d

C = pi * 12.6

Using 3.14 as ab approximation for pi

C = 3.14 * 12.6

C =39.564 cm

Using the pi button  for pi

C =39.58406744

To determine whether they have a certain disease, 100 people are to have their blood tested.However, rather than testing each individual separately, it has been decided first to place the peopleinto groups of 10. The blood samples of the 10 people in each group will be pooled and analyzedtogether. If the test is negative, one test will suffice for the 10 people, whereas if the test is positive,each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.Assume that the probability that a person has the disease is .1 for all people, independently of eachother, and compute the expected number of tests necessary for each group. (Note that we areassuming that the pooled test will be positive if at least one person in the pool has the disease.)

Answers

Answer:

The expected number of tests necessary for each group is 7.51.

Step-by-step explanation:

The probability of a person having the disease is, P (X) = 0.10.

Then the probability of a person not having the disease is P (X') = 0.90.

It is provided that if the test is negative, one test will suffice for the 10 people.

Bur if the test is positive, each of the 10 people will also be individually tested and, in all, 11 tests will be made on this group.

Compute the expected number of tests necessary for each group as follows:

Expected number of tests = Negative Result × P (X') + Positive Result × P (X)

                                           [tex]=(1\times (0.90)^{10})+(11\times [1-(0.90)^{10}])\\=0.3486784401+7.1645371589\\=7.513215599\\\approx 7.51[/tex]

Thus, the expected number of tests necessary for each group is 7.51.

How many cubic yards of dirt will it take to fill a hole that is in the shape of a cube 3 yards on each side?

Answers

Answer:

27 yds^3

Step-by-step explanation:

Answer:

27 cubic yards

Step-by-step explanation:

3 x 3 x 3 = 27

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a
mean of 100 and a standard deviation of 15.
106 124
The area of the shaded region is (Round to four decimal places as needed.)

Answers

Answer:

The area of the shaded region is 0.2898.

Step-by-step explanation:

Let X represent the IQ scores of adults.

It is provided that [tex]X\sim N(100,15^{2})[/tex].

Compute the probability of an adult having an IQ between 106 and 124 as follows:

[tex]P(106<X<124)=P(\frac{106-100}{15}<\frac{X-\mu}{\sigma}<\frac{124-100}{15})[/tex]

                             [tex]=P(0.40<Z<1.60)\\=P(Z<1.60)-P(Z<0.40)\\=0.94520-0.65542\\=0.28978\\\approx 0.2898[/tex]

*Use a z-table.

Thus, the area of the shaded region is 0.2898.

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