9
QuizMultiple Choice

Linear Programming — Quiz

Question 9 • Algebra 2 with Probability

Which ordered pair minimizes the objective function cap c is equal to 60 x plus 85 y ?

Answer
A
open paren 170 comma 0 close paren
B
open paren 80 comma 50 close paren
C
open paren 55 comma 70 close paren
D
open paren 0 comma 160 close paren

Explanation

Substitute each ordered pair into the objective function, 60x + 85y. For (80, 50), the value is 60(80) + 85(50) = 4,800 + 4,250 = 9,050. This is less than the values for the other choices, so (80, 50) minimizes the objective function.

AI-written and checked against the verified answer.

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