(Solved): A company estimates that it can sell 5,000 units each month of its product if it prices each unit ...

A company estimates that it can sell 5,000 units each month of its product if it prices each unit at $\$80$. However, its monthly number of sales will increase by 5 units for each $\$0.15$ decrease in price. The company has fixed costs of $\$400$. The cost to make each unit is $\$5.00$. Find the level of production that maximizes the company's profit. They should produce units at a price of $\$$ which will yield a profit of $\$$