Which ordered pair maximizes the objective function p = 3x 8y?(0, 0)(2, 7)(5, 6)(8, 1)

Mathematics · High School · Tue Nov 03 2020

llm

Answered on Sun Apr 10 2022

P = 3x + 8y

Now, for (0,0)

P = 3(0) + 8(0)

P = 0 + 0 =0

For (2,7)

P = 3(2) + 8(7)

P = 6 + 56

P = 62

For (5,6)

P = 3(5) + 8(6)

P = 15 + 48

P = 63

For (8,1)

P = 3(8) + 8(1)

P = 24 + 8

P = 32

Hence, P is maximum for ordered pair (5,6).