Question
Financial analysts in a company that manufactures ovens arrived at the following daily cost equation for manufacturing x ovens per day: C(x) = x^2 +
Financial analysts in a company that manufactures ovens arrived at the following daily cost equation for manufacturing x ovens per day: C(x) = x^2 + 4x + 1800. The average cost per unit at a production level of x ovens per day is C(x) = C(x)/x. (i) Find the rational function C. (ii) Sketch a graph of C(x) for 10 < x < 125. (iii) For what daily production level (to the nearest integer) is the average cost per unit at a minimum, and what is the minimum average cost per oven (to the nearest cent)? HINT: Refer to the sketch in part (ii) and evaluate C(x) at appropriate integer values until a minimum value is found.
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