Asupply 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) = 0.3x^2 - 156x + 26,657 . how many machines must be made to minimize the unit cost?
do not round your answer.

Step-by-step explanation:

Note that we have a cudratic function of negative principal coefficient.

The minimum value reached by this function is found in its vertex.

For a quadratic function of the form

the x coordinate of the vertex is given by the following expression

In this case the function is:

So:

Then the x coordinate of the vertex is:

Then the number of machines that must be made to minimize the cost is:

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