The Marketing Department of a Company Estimates That the Demand $p = 180 - 0.0001 x,$

Multiple Choice

The marketing department of a company estimates that the demand for a product is given by $p = 180 - 0.0001 x,$ where $p$ is the price per unit and $x$ is the number of units. The cost $C$ of producing $x$ units is given by $C = 450,000 + 50 x,$ and the profit $P$ for producing and selling $x$ units is given by $P = R - C = x p - C.$ Sketch the graph of the profit function and estimate the number of units that would produce a maximum profit.

A) 690,000 units
B) 650,000 units
C) 610,000 units
D) 710,000 units
E) 580,000 units