CPM Homework Help : APCALC Problem 6-97

A calculator company found that the cost of producing $x$ graphing calculators per day is $C(x) = 5x + e^{0.02x}$ . (This ignores the original research and development cost, which is quite large.)

Calculator OK

If each calculator is priced at $$90$ , write an equation for the daily revenue, $R$ , which calculates the income per day for $x$ calculators sold.
Answer (a):
$R(x) = 90x$
Write an equation for the profit, $P$ , which calculates the profit per day when $x$ calculators are produced and each later sold for $$90$ .
Hint (b):
Profit is the difference between revenue and cost of product.
How many calculators should the company produce each day to maximize the profit?
Step (c):
Optimize your profit function. You are looking for an $x$ -value.
What is the maximum daily profit?
Step (d):
Find the $P\left(x\right)$ value that corresponds to your answer in part (c).