49
QuizMultiple Choice

N/A — Exam

Question 49 • Advanced Financial Algebra

The toy company wants to minimize its production cost. The cost function is given by C=30⁢x+40⁢y , where x represents the number of off-road cars produced and y represents the number of race cars produced. The vertices of the feasible region are at (4,5) , (4,17) , (17,5) and (14.55,9.09) At which point is minimum cost achieved?

Answer
A
(4, 17)
B
(17, 5)
C
(14.55, 9.09)
D
(4, 5)

Explanation

Evaluate the cost function C = 30x + 40y at each vertex. At (4, 5), the cost is 30(4) + 40(5) = 120 + 200 = 320, which is less than the costs at the other vertices. Therefore, minimum cost is achieved at (4, 5), choice D.

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