Business. The profit, in thousands of dollars, for a product is p(X)=-x^2+140x-4700 where x is the production level in hundreds of units. Find the production level that maximizes the profit. Find the maximum profit.

Question

The maximum profit of $ _____ is achieved when ______ units are produced.

Answer 1

the max is on the axis of symmetry
... x = -b / 2a = -140 / (2 * -1)

plug the max production into p(X) to find the max profit