The revenue and cost equation for a product are

R = x(75 - 0.0005x) and C = 30x + 250,000

where R and C are measured in dollars and x represents the number of units sold. How many units must be sold to obtain a profit of at least $750,000? What is the price per unit?

1 answer

Profit = Revenue - Cost

subtract the two functions and simplify
you will have a quadratic with a negative x^2 term, so it opens down, thus there will be a max

find the vertex of that parabola