Question

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) = 0.7x² - 210x + 27,738. What is the minimum unit cost? Do not round the answer.

Answer 1

To find the minimum unit cost, we need to determine the x value that corresponds to the vertex of the quadratic function.

Step-by-step explanation:

To find the minimum unit cost, we need to determine the x value that corresponds to the vertex of the function C(x) = 0.7x² - 210x + 27738. The x-value of the vertex can be found using the formula: x = -b/(2a), where a, b, and c are the coefficients of the quadratic function. In this case, a = 0.7 and b = -210. Plugging in these values, we have x = -(-210)/(2*0.7) = 150. Therefore, the minimum unit cost occurs when 150 machines are made.