Company profit of algebraic

Question

a company daily profit p in dollard as a function of number of units sold x is f(x)=-x^2+800x-154,000 which of these statements is true?

a the least the company can make in a day is $400

b the most the company can make in a day is $400

c the least the company can make in a day is $6,000

d the most the company can make in a day is $6,000

Answer 1

If we complete the square, we get that f(x) = -x^2 + 800x - 160000 + 160000 - 154000 =

-(x - 400)² + 6000

When we sell 400 units, the profit is a maximum, 6000.

d)