Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem:

Maximize contribution = 5X1 + 4X2 + 3X3
Subject to: 1X1 + 7X2 + 4X3 <= 90 (hours on machine 1)

2X1 + 1X2 + 7X3 <= 96 (hours on machine 2)
8X1 + 4X2 + 1X3 <= 90 (hours on machine 3)
X1, X2, X3 >=0

Determine the optimal solution using LP software. the optimal achieved is

X1=
X2=
X3=

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\text{Maximize p = 5X1 + 4X2 + 3X3 subject to;} \\ \\ 1X1 + 7X2 + 4X3 <= 90[/tex]

[tex]2X1 + 1X2 + 7X3 <= 96[/tex]

[tex]8X1 + 4X2 + 1X3 <= 90[/tex]

[tex]X1 > = 0[/tex]

[tex]X2 >= 0[/tex]

[tex]X3 >=0[/tex]

[tex]\text{USing LP software, The Optimal Solution: Maximum Contribution} = 90.547;}\\ \\ x1 = 7.07692, \\ \\ x2 = 5.62393, \\ \\ x3 = 10.8889[/tex]


Related Questions

An artist can paint
23,760 square feet in
12 hour. How many
square feet can they
paint in 2 hours?


also i need to justify my answer so give me the steps and what to rught

Answers

Answer:

23,760/12=1980

1980x2=3960

Use slopes and y-intercepts to determine if the lines 4x−3y=6 and y=43x−1 are parallel.

Answers

Answer:

Since they have the same slope, they are parallel.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope. If two lines are parallel, they have the same slope.

4x−3y=6

Placing into the above format:

[tex]3y = 4x - 6[/tex]

[tex]y = \frac{4x - 6}{3}[/tex]

[tex]y = \frac{4x}{3} - 2[/tex]

The slope [tex]m = \frac{4}{3}[/tex]

y=4/3x−1

The slope is [tex]m = \frac{4}{3}[/tex]

Since they have the same slope, they are parallel.

A researcher wants to know if there is a relationship between the number of shopping centers in a state and the retail sales (in billions $) of that state. A random sample of 8 states is listed below. After determining, via a scatter-plot, that the data followed a linear pattern, the regression line was found. Using the given data and the given regression output answer the following questions.
State Num Sales
1 630 15.5
2 370 7.5
3 616 13.9
4 700 18.7
5 430 8.2
6 558 13.2
7 1200 23.0
8 2976 87.3
1. What is the equation of the regression line?
2. Interpret the slope in the context of the problem.
3. Find the coefficient of determination.
4. Interpret the meaning of R2 in the context of the problem.
5. State the hypotheses to test for the significance of the regression equation.
6. Is there a significant relationship between dependent and independent variables at alpha=0.05? Why?
7. Use a 95% prediction interval to predict the sales for a state with 100 shopping centers
Paste the table with the results of regression analysis.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Num shopping centers (X) :

630

370

616

700

430

558

1200

2976

Sales (Y) :

15.5

7.5

13.9

18.7

8.2

13.2

23.0

87.3

The regression equation obtained using the online regression calculator is :

y = 0.03025X - 4.87014

2.) The slope value, for every unit change in number of shopping centers, the number of sales increases by 0.03025

3.)

The Coefficient of determination (R²) as obtained by the R² value calculator is : 0.9823

4.)

About 98%  of variation in number of sales is explained by the regression line

5.)

Correlation Coefficient = 0.9911

H0 : p ≥ 0.99

H1 : p < 0.99

The product of the third and the sixth terms of an arithmetic sequence is 406. The
ninth term of the sequence divided by the fourth term gives a quotient of 2 and a
remainder of 6. Find the first term and the common difference of the arithmetic
sequence​

Answers

Answer:

The product of the third by the sixth term of an arithmetic progression is 406. The division of the ninth term of the progression by the fourth term gives a quotient 2 and a remainder 6. Find the first term and the difference of the progression.

Question 6 (5 points)
Which of the following statements is true for 6.24?
O A) It's irrational because 6.24 =
68/33
OB) It's irrational because 6.24 =
= 60/25.
OC) It's rational because 6.24 = 68/33.
OD) It's rational because 6.24 =
66/25.

Answers

Answer:

C

Step-by-step explanation:

it's rational because 6.24 can be 68/33

sorry if I'm wrong!!

the answer is c because 6.24= 68/33

Question 1 Arecipe for a chicken and rice dinner calls for 3 cups of rice for every 2 pounds of chicken. Select the true statement at There are 3 cups of rice for every 5 pounds of chicken. C B The ratio of pounds of chicken to cups of rice is 2 to 3. С The ratio of cups of rice to pounds of chicken is 2:1. D The ratio of pounds of chicken to cups of rice is 3.2. nate Education, Inc.​

Answers

Answer:

The ratio of pounds of chicken to cups of rice is 2 to 3.

Step-by-step explanation:

3 rice: 2 chicken

3:2 ratio

can be written either number first

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long. Any washers that do not meet this requirement must be discarded. What percentage of washers will the factory have to discard

Answers

Answer:

32%

Step-by-step explanation:

Let x be the mean of the values and σ their standard deviation.

Since the minimum value of the diameter of the washers is 1.53 mm, then

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

x - σ = 1.53 mm

+

x + σ = 1.65 mm  

2x = 3.18

x = 3.18/2

x = 1.59 mm

Subtracting (1) and (2), we have

x - σ = 1.53 mm

-

x + σ = 1.65 mm  

-2σ = -0.12

σ = -0.12/-2

σ = 0.06 mm

Since the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range. The other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%

This question is based on the percentage. Thus, 32%  of washers will the factory have to discard.

Given:

The diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long.

We need to determined the percentage of washers will the factory have to discard.

According to question,

Let x be the mean and σ be their standard deviation.

The minimum value of the diameter of the washers is 1.53 mm.

Then,

x - σ = 1.53 mm  (1)

Also, the maximum value of the diameter of the washers is 1.65 mm, then

x + σ = 1.65 mm  (2)

Adding (1) and (2), we have

   x - σ = 1.53 mm  

+  x + σ = 1.65 mm  

⇒ 2x = 3.18

We get,

x = 1.59 mm

Subtracting (1) and (2), we have

 x - σ = 1.53 mm

- x + σ = 1.65 mm  

⇒ -2σ = -0.12

We get,

σ = 0.06 mm

Therefore, the diameter of the washers are required to be between 1.53 millimeters and 1.65 millimeters long, and x - σ = 1.53 mm to x + σ = 1.65 mm are the required values, 68% of the washers lie in this range.

And the other values lie outside this range. The amount that the factory would have to discard is 100% - 68% = 32%.

Thus, 32%  of washers will the factory have to discard.

For more details, prefer this link:

https://brainly.com/question/13703753

13. Find the measure of arc JK.
J
I
K
70°
L

Answers

B14 B14 hhggffffggy B14 B14 B14 hhggffffggy B14 B14 B14 hhggffffggy B14
Half of a circle arc is 180 because 360/2=180 so

180-70=110

Need help on this question

Answers

Answer:

Step-by-step explanation:

arc between cars = 360°/25 = 14.4°

θ = 14.4° × π/180 ≅ 0.2512 radian

r = 150/2 = 75 ft

s = rθ = 75×0.2512 = 18.84 ft

area of circle = πr² = 75²π ≅ 17,662.5 ft²

area of sector = 17,662.5/25 = 706.5 ft²

What is 1,650,000,000 in scientific notation?

Answers

Answer:

[tex]1.65*10^{2}[/tex]

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

b! you can even look up pythagorean triples to check :)
The correct answer would be B. (3, 4, 5)

If (×+1 ) and(×+2) are factors of the expressionx^4+ax^2+b , find the value of and b, with these value of and factorize completely.​

Answers

Answer:

Step-by-step explanation:

(x⁴+ax²+b) ÷ (x+1) = x³-x²+(a+1)x-(a+1) remainder b+(a+1)

Since x+1 is a factor, b+(a+1) = 0.

(x³-x²+(a+1)x-(a+1)) ÷ (x+2) = x²-3x+(a+7) remainder -3a-15

Since x+2 is a factor, -3a-15 = 0

a = -5

b = 4

x⁴+ax²+b = x⁴ - 5x² + 4 = (x²-4)(x²-1) = (x+2)(x-2)(x+1)(x-1)

Mrs. Garcia’s students were asked to find 220% of 75. Each of the students had a different method.

Amy: “I multiplied 2.20 by 75 to find my answer.”

Braden: “I created a table with columns for 100%, 100%, 20%, and 220%. Then I filled in the table and added the values.”

Colton: “I created a table with columns for 100%, 10%, 10%, and 220%. Then I filled in the table and added the values.”

Danielle: “I divided 75 by 5 to find 20%. Then I added 75 twice to what I found to get my final answer.”

If all of the students completed their steps accurately, which student got the answer wrong?
Amy
Braden
Colton
Danielle

Answers

ok for the people who dont wanna do the link thing the answer is C : colton

HOPE THIS HELPS :))))) xx

Answer:

c, colton is wrong

Step-by-step explanation:

i got it right on edge 2020

The attendance at a baseball game was 400 people. Adult seats sold for $15 and children seats sold for $10. Total ticket sales were $4560. How many of each type of ticket were sold?

Answers

Answer:

112 adult and 288 children

Step-by-step explanation:

x= adult seats

y= children seats

15x + 10y = 4560

x + y = 400 --> y=400-x

so plug 400-x for y in the other equation

15x + 10(400-x)= 4560

now solve this equation

15x + 10(400-x)= 4560 --> 15x + 4000-10x= 4560 --> 15x -10x = 560 --> 5x=560 --> x = 560/5 --> x= 112

now plug in 112 for this equation (x+y=400) --> 112+y=400 --> y= 288

20 10
40
30.
15
40
70
25
20
30
100
40
50​

Answers

60? I don’t know what this mean

Find the value of x.
65°
127°
35°
to

Answers

x Seems To Be An Obtuse Angle So The Answer Should Be 127°
looking at this picture i’d say 127°

9. Zuleyka compró una bicicleta por $149. Pagó un pronto de $50. Si pagó $9
semanalmente, ¿cuántas semanas le tomó a Zuleyka pagar la cantidad completa de la
bicicleta? *
(1 Point)
OA.
5
B В
9
C
11
D
16

Answers

Answer:

h s m s dhoni bold sin men farhan akhtar ne

The two lines graphed on the coordinate grid each represent an equation. (-2, 6) (3,5) (-6, 2) (-6, -6) Which ordered pair represents a solution to both equations?​

Answers

Answer:

(-3,3)

Step-by-step explanation:

because it's where the graphs intersect, meaning the point is contained in both solutions


Asha is tiling the lobby of the school with one-foot square tiles. She has 6 bags
of tiles with 50 tiles in each. The lobby is a 30-foot by 8-foot rectangle. How
many tiles will Asha have left over after she tiles the lobby?

Answers

Answer:

60 tiles left over

Step-by-step explanation:

the lobby needs 30 x 8 = 240 tiles.

she has 6 x 50 = 300 tiles

300 - 240 = 60 left over

Please help if not that’s fine no nonsense

Answers

Answer:

B) 54 and 54

Step-by-step explanation:

72 + x + x = 180

2x + 72 = 180

2x = 180 - 72

2x = 108

x = 54

Please help me with this :)

Answers

[tex]hope \: it \: helps[/tex]

There were 58 birds in a tree.B of the Birds flew away.Choose the expression that shows how many birds are in the pond now.
A. B + 58
B. 58 - b
C. b - 58
D. 58 + b

Answers

Answer:

B. 58 - b

Step-by-step explanation:

58 goes in the front, since that is how many birds were there at the start. If B birds flew away, then some are leaving which means the equation would be subtracting by B.

B.58 - b there were 58 birds out of them b birds fllew away so its 58- B im 100% sure

Explain why this equals that please!

Answers

Answer:

[tex]\frac{5^3s^3t^6}{s^4 x 50t}[/tex]

After that, all terms reduce as follows: the [tex]5^{2}[/tex] with the 25 in 50, the s at the numerator with the s in the denominator, and a t from the denominator with one unit from the exponent of t in the numerator.

I am having a baby day so if you write something wrong I’m reporting you

Answers

Answer:

804.25 or based on the choices 803.8

Step-by-step explanation:

Answer:

804.25

Step-by-step explanation:

so the closest thing to that is 803.8

Help me please!!!! I’ll give you brainliest!! :)

Answers

Answer:

399

Step-by-step explanation:

28.5 × 3.5 × 4

What expression is equivalent to 4y?

Answers

Answer:

4xy=x or ?

Step-by-step explanation:

what is the name of this figure plz help

Answers

its a triangle no? just  3D

The answer is Triangular prism

evaluuate 9-b when b=8

Answers

Answer:

[tex]\huge\boxed{\sf 1}[/tex]

Step-by-step explanation:

Given the expression:

= 9 - b

Given that b = 8

= 9 - 8

= 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Okay so we are asked to solve 9 - b, and we are told that b=8

Therefore this is just a matter of substitution:

9 - b

Substitute 8 for b:

9 - 8

Now just finish solving:

1

Therefore, the answer is 1

Hope this helped :)

Write a ratio for the perimeter to the Area
Length=3 cm
Height= 10 cm

Answers

Answer:

3:10

Step-by-step explanation:

The answer will end up being 3:10

Help me answer the question ​

Answers

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

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