Which ordered pair minimizes the objective function C = 60x + 85y?
(0, 160), (55, 70), (80, 50), (170, 0)

Solution:

Given objective function C = 60x + 85y

Ordered pairs given are (0, 160), (55, 70), (80, 50), (170, 0)

In order to check which ordered pair minimizes the function, we must substitute x, y and check

1. (0, 160) : C = 60(0) + 85(160) = 13,600

2. (55, 70) : C = 60(55) + 85(70) = 9250

3. (80, 50) : C = 60(80) + 85(50) = 9050

4. (170, 0) : C = 60(170) + 85(0) = 10,200

Hence, the least value for C is 9050

Therefore, (80, 50) minimizes the function C.

Which ordered pair minimizes the objective function C = 60x + 85y?

Summary:

The ordered pair minimizes the objective function C = 60x + 85y is (80, 50).