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.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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. 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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