Question: Find the optimal solution for the following problem. Maximize C = 4 x + 12 y + 3 z subject to 15 x + 5

Find the optimal solution for the following problem.

Maximize C = 4x + 12y + 3z

subject to 15x + 5y + 12z 75

6x + 2y + 8z 150

and x 0, y 0, z 0.

(round your answer to 3 decimal places)

A) What is the optimal value of X? X = ?

B) What is the optimal value of Y? Y = ?

C) What is the optimal value of Z?Z = ?

D) What is the maximum value of the objective function? Maximum value = ?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Find the optimal solution for the following problem. Maximize C = subject to 4x + 12y + 3z 15x + 5y + 12 5 75 6x + 2y + 8z $ 150 x 20, y 0. and a. What is the optimal value of x? X b. What is the...

Q:

Find the optimal solution for the following problem. Maximize C - subject to 4x + 12y + 3z 15x + 5y + 122 $ 75 6x + 2y + 8z $ 158 x 2 , y 2 e. and a. What is the optimal value of x? b. What is the...

Q:

Find the optimal solution for the following problem. Maximize C = 4x + 12y + 3z subject to 15x + 5y + 12z 75 6x + 2y + 8z 150 and x 0, y 0. What is the optimal value of x? What is the optimal value...

Q:

Find the optimal solution for the following problem. Maximize C = subject to 4x + 12y 3x + 5y s 12 6x + 2y s 10 x = 0, y = 0. and a. What is the optimal value of x? b. What is the optimal value of y?...

Q:

Find the optimal solution for the following problem. Maximize C = 4x + 12y subject to : 3x + 5y 12 6x + 2y 10 and x 0, y 0. What is the optimal value of x? What is the optimal value of y? What is the...

Q:

Find the optimal solution for the following problem. Maximize C = subject to 4x + 12y + 32 15x + 5y + 12z 0, y > O. and a. What is the optimal value of x? b. What is the optimal value of y? c. What...

Q:

Question 21 A grocery store manager must decide how to best present a limited supply of milk and cookies to its customers. Milk can be sold by itself for a profit of $1.50 per gallon. Cookies can...

Q:

Find the optimal solution for the following problem. Maximize CE subject to 4x + 12y 3x + 5y s 12 6x + 2y s 10 X 20, y 20. and a. What is the optimal value of x? 0 b. What is the optimal value of y?...

Q:

Using Excel's Solver add-in, find the optimal solution for the following problem? Maximize P = 3x + 8y subject to 2x + 4ys 20 6x + 3ys 18 and x20, y 20. Multiple Choice O (x, ) ) = (2, 0) O (x, )) =...

Q:

Find the optimal solution for the following problem Maximize - subject to 4x+12y + 32 15x + 5y + 122 $ 75 6 + 2y + 8 = 150 20, ye. and a. What is the optimal value of x? b. What is the optimal value...

Q:

A race car driver must average 200.0km/h over the course of a time trail lasting ten laps. If the first nine laps were done at 198.0km/h, what average speed must be maintained for the last lap?

Q:

Discuss any three (3) sampling techniques usable in research. In your discussion, analyse and report on the circumstancesunder which the Simple Random Sampling may be used.

Q:

Q Hacmilan Leare You bry $ 1 , 0 0 0 worth of Walmart stock. Would a macrueconomist call this an ievestment? Yes, because you ane purchasing semething that many yicld moee value later. No , because...

Q:

A company is preparing completing their Cash Budget. The following data has been prepared for cash receipts and payments. January February March Cash receipts $1,061,200 $1,182,400 $1,091,700 Cash...