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
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?
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