10
QuizMultiple Choice

Linear Programming — Quiz

Question 10 • Algebra 2 with Probability

Which ordered pair maximizes the objective function cap p is equal to 3 x plus 8 y ?

Answer
A
open paren 0 comma 0 close paren
B
open paren 2 comma 7 close paren
C
open paren 8 comma 1 close paren
D
open paren 5 comma 6 close paren

Explanation

Substitute each ordered pair into p = 3x + 8y. For (5, 6), p = 3(5) + 8(6) = 15 + 48 = 63. This is greater than the value for (2, 7), which is 62, and the other choices, so (5, 6) maximizes the objective function.

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