For the feasibility region shown below, find the maximum value of the function P=3x+2y.

Mathematics

2 answers:

Setler [38]3 years ago

6 0

Answer:

Step-by-step explanation:

abruzzese [7]3 years ago

5 0

Given:
P = 3x + 2y

There is an accompanying graph in this problem. In the graph, there are 4 points to consider. I'll just assign letters on each point.

Point O is found in x = 0 ; y = 0 or (0,0)
Point A is found in x = 8 ; y = 0 or (8,0)
Point B is found in x = 6 ; y = 5 or (6,5)
Point C is found in x = 0 ; y = 8 or (0,8)

We will substitute x and y in the equation by its values per point.
Point A = 3(8) + 2(0) = 24 + 0 = 24
Point B = 3(6) + 2(5) = 18 + 10 = 28
Point C = 3(0) + 2(8) = 0 + 16 = 16

The maximum value of the function P = 3x+2y is 28 and its minimum value is 16.

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