A cell phone manufacturer makes profits (P) depending on the sale price (s) of each phone. The function P= -s² + 120s – 2000 models the monthly profit for a flip phone from Cellular Heaven. What should the phone price be to make the maximum profit? What is the maximum profit possible?Steps to solve this application problem: 1. Find the vertex (x, y)= (x= sale price of phone, y= Profit on phone sales) 2. The x-coordinate is the price of the phone when the profit is a maximum 3. The y-coordinate is the maximum possible profit Answer a. price $10, max profit $600 b. price $50, max pro
P= -s² + 120s – 2000 Thus the maximum profit is $1,600 when unit price is $60 Compare with profit is $1,500 at unit price $50 or loss $ 900 if the sale price is $10!
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