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