Amedical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function c (x) = 1.2x^2 -600x + 89,966. how many machines must be made to minimize the unit cost?
do not round your answer.

x = 250 units

Step-by-step explanation:

We can easily solve this problem by using a graphing calculator or any plotting tool.

We must find the minimum point in the graph. This corresponds to the number of machines that produce the minimum cost.

The equation is

C (x) = 1.2x^2 -600x + 89,966

Please see attached image below

By producing x = 250 units, we obtain the minimum cost

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