Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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2- For a pen company, the total cost of producing a pen is given by
C(x) = −x³ + 8x² - 4x − 5, and the revenue function is given
by R(x) = −x³ + 7x². The demand function for this product in
the market is given by D(x) = −2x² + 8x and the
corresponding supply function is given by S(x) = x²-x. The
factory does not produce more than 15 pens in this process.
a) What is the profit if 5 pens are sold?
b) How many pens must be sold for the company to break even?
c) Find the market equilibrium point. Explain what will happen
if the company decides to sell a pen at 8$.
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