10
QuizMultiple Choice

Linear Programming — Quiz

Question 10 • Advanced Financial Algebra

Let x represent the number of off-road cars produced, and let y represent the number of race cars produced. Each off-road car earns $⁢60 , and each race car earns $75 Which objective function should the company use to maximize profit?

Answer
A
cap p is equal to 60 minus 75 y
B
P=75⁢x+60⁢y
C
cap p is equal to 60 x plus 75
D
P=60⁢x+75⁢y

Explanation

Profit is the amount earned per car multiplied by the number of cars produced, then added across both types. Off-road cars earn $60 each, giving 60x, and race cars earn $75 each, giving 75y. So the objective function is P = 60x + 75y, choice D.

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