A company’s profit is modeled by the function p(x) = -2x2 + 60x − 2, where p is the profit in thousands of dollars and x is the number of units sold in hundreds.
Based on the profit function, the company has to make ___ hundred units to make a maximum profit
Note: Please write "x^2" (not 'x2') to indicate "the square of x."
p(x) = -2x2 + 60x − 2 is a quadratic function whose graph is that of an inverted parabola. The vertex (which here represents the largest p(x) value) can be found using the formula
x = -b / (2a), which comes out to x = -60 / (2*-2) = 15.
The company has to make 15 hundred units to gain maximum profit.
