Evaluate the profit function at each vertex. P = 0.04x + 0.05y + 0.06(16 – x – y) (8, 1) P = (14, 1) P = (3, 6) P = (5, 10) P =

The given function is:
P = 0.04x + 0.05y + 0.06(16-x-y)

To get the function at each vertex, all you have to do is substitute with the given x and y values in the above equation and get the corresponding value of P as follows:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79

2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67

3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84

4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76

Hope this helps :)