A company manufactures memory chips for microcomputers. Based on data, they produced the following price-demand function: d(x) = 65 – 3x, 1<x<20, where x is number of memory chips in millions. D(x) is the price in dollars.The financial department for the company established the following cost function for producing and selling x million memory chips: C(x) = 120 + 15x million dollars.
a.Write the company’s revenue function R(x) and indicate its domain.
b.Write a profit function P(x) for producing and selling x million memory chips
c.Complete the Table, computing revenues and profits to the nearest million dollars
d.Find the value of x that will produce the maximum revenue. What is the maximum revenue?
e.What is the wholesale price per chip that produces the maximum revenue.
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