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

The ordered pair that minimizes the objective function C = 60x + 85y is:

                              (80,50)              

Step-by-step explanation:

The ordered pair that minimizes the objective function which is given by:

                   C = 60x + 85y

is the one at which the value of C is least.

Hence, we will put each of the ordered pair in the objective function as follows:

1)

(0,160)

C=60×0+85×160

⇒   C=13600

2)

(55,70)

C=60×55+85×70

⇒   C=9250

3)

(80,50)

C=60×80+85×50

⇒   C=9050

4)

(170,0)

C=60×170+85×0

⇒   C=10200

Hence, the minimum value is for the ordered pair:

                                    (80,50)  (i.e. 9050)

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.