(a) By examining the graph of the feasibility set, find the maximium of 7x + 4y subject to 2y-x ≤ 12 x+y ≤ 9 x-y≤7 x,y 20 (b) At what point does this maximum occur? If the point is (a, b) then enter the values of a and 6 (in that orde into the answer box below, separated with a comma.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please show step-by-step solution and do not skip steps. Explain your entire process in great detail. Explain how you reached the answer you did.

Problem #2: (a) By examining the graph of the feasibility set, find the maximium of 7x + 4y subject to
2y-x ≤ 12
x+y≤ 9
x-y≤ 7
x,y 20
(b) At what point does this maximum occur? If the point is (a, b) then enter the values of a and b (in that order)
into the answer box below, separated with a comma.
Transcribed Image Text:Problem #2: (a) By examining the graph of the feasibility set, find the maximium of 7x + 4y subject to 2y-x ≤ 12 x+y≤ 9 x-y≤ 7 x,y 20 (b) At what point does this maximum occur? If the point is (a, b) then enter the values of a and b (in that order) into the answer box below, separated with a comma.
Expert Solution
Step 1: Write the given information:

LPP is as follows:

Max 7 x plus 4 y subject to

2 y minus x less or equal than 12
x plus y less or equal than 9
x minus y less or equal than 7
x space comma space y greater or equal than 0

To Find:

a) Examine the graph and find the maximum value.

b) At what point does maximum occur?


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