Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

find the maximum value of c=4x+2y subject to the fallowing constraints x≥0 y≥0 2x+2y≤10 3x+y≤9

Sagot :

MrRoyal

The maximum value of c=4x+2y subject to the constraints is 14

How to determine the maximum value?

The objective function is given as:

c = 4x+2y

The constraints are given as:

x≥0 y≥0

2x+2y≤10

3x+y≤9

Rewrite 2x+2y≤10 and 3x+y≤9 as equations

2x+2y = 10

3x+y = 9

Divide 2x+2y = 10  through by 2

x+y = 5

Subtract x+y = 5 from 3x+y = 9

3x - x + y - y = 9 - 5

Evaluate the difference

2x = 4

Divide by 2

x = 2

Substitute x = 2 in x+y = 5

2+y = 5

Solve for y

y = 3

So, we have

(x, y) = (2, 3)

Substitute (x, y) = (2, 3) in c = 4x+2y

c = 4 * 2 + 2 * 3

Evaluate

c = 14

Hence, the maximum value of c=4x+2y subject to the constraints is 14

Read more about objective function at:

https://brainly.com/question/16826001

#SPJ1

We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.