Question

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, we substitute the x and y coordinates into the objective function p=5x+6y.

For the vertex (0,8):
p = 5(0) + 6(8) = 0 + 48 = 48.

For the vertex (5,4):
p = 5(5) + 6(4) = 25 + 24 = 49.

For the vertex (9,0):
p = 5(9) + 6(0) = 45 + 0 = 45.

The maximum value among the vertices is 49, which occurs at the vertex (5,4).