SOLUTION: The revenue and cost equations for a product are R = x(75-0.0005x) and C = 30x + 250000 Where R and C are measured in dollars and x represents the number of units sold. How many u

Question 1188436: The revenue and cost equations for a product are R = x(75-0.0005x) and C = 30x + 250000
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 $750000?

Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
The profit is revenue minus cost, so the profit is .
Since we want this to equal $750,000, we get

Dividing both sides by , we get
.
Factoring, we have .
Therefore, the solution is to sell either 40,000 or 50,000 units.
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