Precalculus · Problem 3.1.32

Polynomial Functions — Stitz & Zeager

Mathematics — Precalculus · polynomial-applied-profit

Problem

While developing their newest game, Sasquatch Attack!, the makers of the PortaBoy (from Example 2.1.5) revised their cost function and now use C(x)=.03x3−4.5x2+225x+250C(x) = .03x^3 - 4.5x^2 + 225x + 250, for x≥0x \geq 0. As before, C(x)C(x) is the cost to make xx PortaBoy Game Systems. Market research indicates that the demand function p(x)=−1.5x+250p(x) = -1.5x + 250 remains unchanged. Use a graphing utility to find the production level xx that maximizes the profit made by producing and selling xx PortaBoy game systems.

Browse the problem library