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

Solve the following equation algebraically. Show your work.

6=x+23

Answers

Answer: 23+x=6

-23 -23

1x/1 -17/1

x=-17

Step-by-step explanation:

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

 -6*x-(23)=0  

Step by step explanation :

Pulling out like terms

Pull out like factors :

-6x - 23  =   -1 • (6x + 23)  

Solving a Single Variable Equation:

2.1      Solve  :    -6x-23 = 0  

Add  23  to both sides of the equation :  

                     -6x = 23

Multiply both sides of the equation by (-1) :  6x = -23

Divide both sides of the equation by 6:

                    x = -23/6 = -3.833

Therfor the answer is : x = -23/6 = -3.833

[tex]lx+3l \leq 5[/tex]

Answers

9514 1404 393

Answer:

  -8 ≤ x ≤ 2

Step-by-step explanation:

We assume you intend the absolute value equation ...

  [tex]|x+3|\le5\\\\{-}5\le x+3\le5\qquad\text{rewrite as a compound inequality}\\\\\boxed{{-}8\le x\le2}\qquad\text{subtract 3}[/tex]

Simplify [tex]\frac{14^{15} }{14^{5} }[/tex]:

A. [tex]1^{3}[/tex]

B. [tex]1^{10}[/tex]

C. [tex]14^{3}[/tex]

D. [tex]14^{10}[/tex]

Answers

Answer:

The answer is D 14^10

Answer:

A

Step-by-step explanation:

Type the correct answer in each box. Use numerals instead of words. For this question, any answer that is not a whole number should be entered as a fraction in simplest form, using / as the fraction bar, or as a decimal number rounded to the hundredths place. The point P has a value of and is represented with a point on the top number line. The point R has a value of and is represented with a point on the bottom number line. If the value of point P is and |Q| is , then the greatest value of P + Q is , and the least value of P + Q is . If the value of point R is and |S| is 2, then the greatest value of R + S is , and the least value of R + S is . Reset Submit

Answers

Answer:

Step-by-step explanation:

Since we are not given the value of P, |Q|, R and S, we can as well assume values for them for the sake of this question.

Let P = 5, |Q| = 6, R =7 |S| = 2

Note that since Q and S are in modulus sign, they can return both positive and negative values.

P+Q = 5 + 6 (note that the positive value of Q is used since we need the greatest value of P+Q)

P+Q = 11

Hence the greatest value of P+Q is 11

For the least value of P+Q, we will use the negative value of Q as shown

P+Q = 5+(-6)

P+Q = 5-6

P+Q = -1

Hence the least value of P+Q is -1

Similarly:

R+S = 7 + 2 (note that the positive value of S is used since we need the greatest value of R+S)

R+S = 9

Hence the greatest value of R+S is 9

For the least value of R+S, we will use the negative value of S as shown

R+S = 5+(-2)

R+S = 5-3

R+S = 2

Hence the least value of P+Q is 2

NOTE THAT THIS ARE ASSUMED VALUES. ALL YOU NEED IS TO PLUG IN THE VALUES OF P, Q and R THAT YOU HAVE IN CASE THE VALUES DIFFERS.



Rewrite it as a function and isolate Y. ​

Answers

Answer: y= -2x + 12

or f (y ) = 6 - [tex]\frac{y}{2}[/tex]

Step-by-step explanation:

just subtract the 2x to get the y alone

Can someone plz explain to me how to do this !? Geometry

Answers

The scale factor is 3

if you look at the graph its y3 x3 the larger one is y9 x9 if you divide the two you get 3

can you please give brainliest

if 6 pounds of apples cost $9, how much would 21 apples cost?​

Answers

31.5 dollars
Explanation:
You can do 6+6 3 time and that equals 27 dollars, and you have one more so 9 divided by 2 is 4.5 so if you add that you get 31.5

30% of what equals 600

Answers

Answer: it equals 180 hope it helps

Answer:

180

Step-by-step explanation:

30% × 600 =

(30 ÷ 100) × 600 =

(30 × 600) ÷ 100 =

18,000 ÷ 100 =

180

Hope this helps!! Good luck on your assignment!

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%

Ms. Smith bought a 5 pound bag of candy for her 6 grade classroom. She gave away 2 pounds of candy to her students during the first unit of
instruction and ate 6 ounces of candy during planning.
How many ounces of candy does Ms. Smith still have in her bag?
Note: (1 pound = 16 ounces)
A 38 ounces
o
B. 42 ounces
O c. 48 ounces
D. 54 ounces

Answers

Answer:

42 ounces or B

Step-by-step explanation:

5 pounds - 2 pounds=3 pounds

3 pounds=48 ounces

48 ounces-6 ounces=42 ounces

Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=

Answers

Answer:

a

  [tex]P(shipment\ accepted) =0.6337 [/tex]\

b

   [tex]P(shipment\ not\ accepted)= 0.3663 [/tex]  

Step-by-step explanation:

from the question we are told that

   The number of boxes N  =  100

     The  number of keyboard in each box is  k =  20  

     The sample size is  n =  5

Generally the number of ways of selecting 1 keyboard from the 5 selected keyboard is mathematically represented as

     [tex]G  =  \ ^{5}C_1[/tex]

Here  C stands for  combination (Hence in the question we will be making use of the combination functionality in our calculator )

Generally the number of ways of selecting 0 keyboard from the 5 selected keyboard is mathematically represented as

       [tex]H  =  \ ^{5}C_0[/tex]

Generally the number of ways of selecting 5 keyboard from the 20 keyboards is mathematically represented as

          [tex]F  =  \ ^{20}C_5[/tex]

Generally the number of ways of selecting 5 keyboard from the  15 keyboards is mathematically represented as

        [tex]W  =  \ ^{15}C_5[/tex]

Generally the number of ways of selecting 5 keyboard from the  15 keyboards is mathematically represented as

        [tex]V  =  \ ^{15}C_4 [/tex]

Generally the probability that a shipment will be accepted is mathematically represented as

 Probability of  0 defect out of  5 + Probability of  1 defect out of 5

Now  

  Probability of  0 defect out of  5 is mathematically represented  as

        [tex]P(A_1) =  \frac{H*W }{ F}[/tex]

=>      [tex]P(A_1) =  \frac{1 *3003 }{ 15504}[/tex]

=>      [tex]P(A_1) =  0.1937[/tex]

And  Probability of  1 defect out of 5 is mathematically represented as

     [tex]P(A_2) =  \frac{ G * V}{ F}[/tex]

 => [tex]P(A_2) =  \frac{ 5 * 1365}{15504}[/tex]  

 =>   [tex]P(A_2) =  0.440[/tex]  

Generally the probability that a shipment will be accepted is mathematically represented as

     [tex]P(shipment\ accepted) =0.1937 +  0.440[/tex]

=>    [tex]P(shipment\ accepted) =0.6337 [/tex]

Generally the probability that this shipment will not be accepted is mathematically represented as

    [tex]P(shipment\ not\ accepted)= 1 -P(shipment \ accepted)[/tex]

     [tex]P(shipment\ not\ accepted)= 1 - 0.6337 [/tex]  

     [tex]P(shipment\ not\ accepted)= 0.3663 [/tex]  

Find the area, in square units, of ABC plotted below.
A(0,7)
B(7,-2)
D(2, -3)
C(-3,-4)

Answers

I used a different methods :use the 3 vertices points that was around the triangle , (I WOULD NOT use point D )
So A=52 square units
And the brackets was absolute value

The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The coordinates of the points A, B, C, and D in the given figure are:

A(0, 7)B( 7,-2)C(-3, -4)D(2, -3)

Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.

Thus, we get:

Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]

Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]

If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.

Thus, as we know know that:

Height's measurement of ABC = |AD|= [tex]\sqrt{130} \: \rm units[/tex]Base length of ABC = |BC| = [tex]\sqrt{136} \: \rm units[/tex]

Thus, the area of the triangle ABC is:

[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]

Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ2

which type of statement has the form if a then B?​

Answers

Answer:

A Conditional Statement

Answer:

Conditional would have that form.

Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.

Answers

Answer:

X= 32 Y= 35

Step-by-step explanation:

We know FOB is parralel to AOE meaning x= 32

also, COH = 90 so GOD is also 90.

a straight angle is 180, so

23+90+x or 32= 145,

180-145=35,

y=35

Answer:

X=32

Y=35

Step-by-step explanation:

We know x is 32 because FOB is parrallel to AOE.

We also know that DOG is 90 because COH is 90, and parallel to DOG

So, we can do:

90 + 23 + 32 =145

180-145=35, which is Y

I need help in math please I am not able to figure these out, I will give you the brainlest and thank you.

Answers

Answer:

A. -7 A2. -7

B.-14 B2. 2

C.-14 C2.14

D. 1 D2. -7

9514 1404 393

Answer:

  a. -7, -7

  b. -14, 2

  c. -14, -14

  d. 1, -1

  e. misuse of the associative property leads to different results

Step-by-step explanation:

Your calculator (or a spreadsheet) can figure these easily.

a. -12 +(-4 +9) = 12 +5 = -7

  (-12 +(-4)) +9 = -16 +9 = -7

__

b. (14 -20) -8 = -6 -8 = -14

  14 -(20 -8) = 14 -12 = 2

__

c. (14 +(-20)) +(-8) = -6 -8 = -14

  14 +(-20 +(-8)) = 14 +(-28) = -14

__

d. -1 -(-1 +(-1)) = -1 -(-2) = -1 +2 = 1

  (-1 -(-1)) +(-1) = (-1+1) -1 = 0 -1 = -1

__

e. The associative property works for addition. When the associative property is used to rearrange subtraction problems, the minus signs need to be kept with the numbers, as in (c). That is, the problem needs to be expressed as a sum of signed numbers.

In (d), the term -(-1 +(-1)) was broken in the middle when the sum was rearranged for the second expression. Only terms in the same level of parentheses can be rearranged by the associative property.

Mikhail draws triangles ABC and FED, as shown below, and claims that the two triangles are similar but not congruent.

Select all methods that can be used to justify the claim.

show that 2C 2D and that all corresponding sides are congruent

show that 2C 2D and that all corresponding sides are proportional

show that a sequence of rotations, reflections, and translations carries triangle ABC onto triangle FED

show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED

Answers

Answer:

First definitions:

Two triangles are congruent if the corresponding sides are all the same length (one triangle can be a rotation, translation or reflection of the other)

Two triangles are similar if the corresponding interior angles are equal and the corresponding sides are proportional. (so one triangle can be a rotation, translation, reflection or contraction/dilation of the other)

You can notice that two congruent triangles are similar, but two similar triangles are not necessarily congruent.

Then two methods to show that the triangles are similar but not congruent are:

1) show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED

If we have a dilation, then the sidelengths of the corresponding sides can not be equal, wich implies that the triangles are not congruent.

2) show that 2C 2D and that all corresponding sides are proportional

If the sides are proportional, then it is similar, but not congruent.

A line has a slope of 9 what is the slope of a line it is parallel to this line? *

9
-9
1/9
-1/9

Answers

Answer: 9

Step-by-step explanation: Parallel lines have the same slope.

So a line parallel to this would also have 9 as its slope.

How many edges are there on a cylinder?

Answers

Answer:

There are 0 number of edges on a cylinder

Plzz Answer this Correctly!!!! It's Easy Points!!!!

The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x.

Answers

dnssnskjsjsjsjajjawiiwiw

The answer is 13.2 or 66/5

Have a nice day! :)

Write 257% as decimal

Answers

Answer:

please mark brainliest!

Step-by-step explanation:

2.57

Answer:

2.57

Hope this helps! Mark me brainliest

god bless!

Solve for S

P=4s

Please answer!!!!

Answers

Answer:

b

Step-by-step explanation:

divide both sides of the equation by 4 to leave s by itself

It’s definitely b hope that helps lmk if it’s correct

Question 4
5 pts
4. Cassie has 45 marbles. Abdul has m If Cassie has 9 times as many
marbles as Abdul. Choose the equation that correctly represents the
number of marbles Abdul has.
O 9 x m = 45
O 45 - 9 = m
O C. 9+ m = 45
O D. 9 x 45 = m

Answers

Answer:

8 x m = 45

Step-by-step explanation:

cassie has 9 times which means multiplcation so its the first one

13/20 of a number is what percentage of that number?​

Answers

Answer:

65%

Step-by-step explanation:

please help
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2

Answers

Answer:-1.2 Degree Fahrenheit.

Step-by-step explanation:

Since,

The average daily changes,   total changes/number of days

Here,

The total changes = - 16.8° F ( - sign shows the decreasing )

And, the number of days = 14

Hence,

⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.

-16.8 / 14 = - 1.2 per day

Please answer this correctly without making mistakes

Answers

Answer:

89%

Step-by-step explanation:

There are 100 units within the shape and 89 of them are painted so 89% is orange

is this correct or not​

Answers

Answer:

yes it is u did a good job

What is the circumference of a circle that has a radius of 7 m?

Answers

Step-by-step explanation:

you you can use two formulas here either pi d or 2 pi r so when you use pie d which change the radius to diameter by multiplying by two so in this case we will multiply 7 by 2 to get 14 then use the formula so is 22/7 * 14 to get 44

QUESTION:
An airplane flies with a constant speed of 660 miles per hour. How long will it
take to travel a distance of 2475 miles?

Answers

Answer:

5643

Step-by-step explanation:

you add them together then you divide  

Which angle are vertical to each other

Answers

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles

find the perimeter of a circle whose diameter is 12.6 cm please help and show working​

Answers

Do you mean the circumference? You can’t find the perimeter of a circle. The circumstance of the circle is 39.584 to 3dp.

Answer:

39.584034 cm

Step-by-step explanation:

Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.

I used 3.14159 as pi.

work:

2 * 3.14159 * 6.3

6.28318 * 6.3

39.584034

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