A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function C(x)=0.1x^2-40x+9569. How many machines must be made to minimize the unit cost? Do not round your answer.

200

Step-by-step explanation:

Given that C(x) = 0.1 - 40x +9569,

complete the square, then C(x) = 0.1* ( - 400x) +9569

                                                    = 0.1 * ( - 400x + ) +9569 -

                                                    = 0.1 * (x - 200)^2 - 30431

so the answer is 200 machines

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step-by-step explanation: