Question

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what are the values of each vertex in the objective function p=5x+6y? what is the maximum value?
(0,8), (5,4), (9,0)

Answer 1

To find the values of each vertex in the objective function p=5x+6y, we need to substitute the given points (0,8), (5,4), and (9,0) into the function and calculate the corresponding values of p.

1. For the point (0,8):

Substituting x=0 and y=8 into the objective function, we get:

p = 5(0) + 6(8)

p = 0 + 48

p = 48

So, the value of p for the point (0,8) is 48.

2. For the point (5,4):

Substituting x=5 and y=4 into the objective function, we get:

p = 5(5) + 6(4)

p = 25 + 24

p = 49

So, the value of p for the point (5,4) is 49.

3. For the point (9,0):

Substituting x=9 and y=0 into the objective function, we get:

p = 5(9) + 6(0)

p = 45 + 0

p = 45

So, the value of p for the point (9,0) is 45.

To determine the maximum value, we compare the values of p calculated for each vertex.

In this case, the maximum value of p is 49, which occurs at the vertex (5,4)