5
QuizMultiple Choice

Linear Programming — Quiz

Question 5 • Algebra 2 with Probability

The vertices of a feasible region are open paren 14 comma 2 close paren , open paren 0 comma 9 close paren , open paren 6 comma 8 close paren , and open paren 10 comma 3 close paren What is the maximum value of the objective function cap p if cap p is equal to 180 x plus 250 y ?

Answer
A
2 comma 940
B
3 comma 250
C
3 comma 080
D
3 comma 020

Explanation

Evaluate P = 180x + 250y at each vertex. The values are 3,020 at (14, 2), 2,250 at (0, 9), 3,080 at (6, 8), and 2,550 at (10, 3). The greatest value is 3,080, so the maximum is choice C.

AI-written and checked against the verified answer.

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