A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depen
ds 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.
Do not round your answer.
1 answer:
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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