Diane owns a store that sells computers. Her profit, in dollars, is represented by the function P(x) = x- 22x² - 240x, where x is the number of computers sold. Part A: Diane hopes to make a profit of at least $10,000 by the time she sells 36 computers. Explain whether or not Diane will meet her goal. Justify your reasoning. Part B: Diane states that there are three possible values of x for which she will have a profit of$0. Find the values of x that produce a zero profit to show whether Diane is correct or not. Justify your reasoning.
Diane owns a store that sells computers. Her profit, in dollars, is represented by the function P(x) = x- 22x² - 240x, where x is the number of computers sold. Part A: Diane hopes to make a profit of at least $10,000 by the time she sells 36 computers. Explain whether or not Diane will meet her goal. Justify your reasoning. Part B: Diane states that there are three possible values of x for which she will have a profit of$0. Find the values of x that produce a zero profit to show whether Diane is correct or not. Justify your reasoning.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Diane owns a store that sells computers. Her profit, in dollars, is represented by the
function
P(x) = x - 22x2 - 240x, where x is the number of computers sold.
Part A: Diane hopes to make a profit of at least $10,000 by the time she sells 36
computers. Explain whether or not Diane will meet her goal. Justify your reasoning.
Part B: Diane states that there are three possible values of x for which she will have a
profit of$0. Find the values of x that produce a zero profit to show whether Diane is
correct or not. Justify your reasoning.
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