A calculator company found that the cost of producing x graphing calculators per day is C(x) = 4x + e^0.02x . (This ignores the original research and development cost, which is quite large.) (a) If each calculator is priced at $80, find a revenue function, R(x), which gives the revenue for x calculators sold. (b) Find the profit function, P(x), which gives the profit per day when x calculators are produced and each later sold for $80. (c) Find the value of x that will maximize P(x). Use the second derivative test to show that it yields a maximum. (d) Given that one cannot produce a fraction of a calculator, find the daily production level that will maximize profit. Please answer in a complete sentence.

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