SOLUTION: The Diver Time Company makes digital watches for scuba divers. The company models its profits with the function P(d)=-2d^2 + 13d- 6, where d is the number of watches sold in hundre
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-> SOLUTION: The Diver Time Company makes digital watches for scuba divers. The company models its profits with the function P(d)=-2d^2 + 13d- 6, where d is the number of watches sold in hundre
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Question 1028708: The Diver Time Company makes digital watches for scuba divers. The company models its profits with the function P(d)=-2d^2 + 13d- 6, where d is the number of watches sold in hundreds, and P(d) is the company's profit, in tens of thousands of dollars.
a) how many watches must the company sell in order to break even? show your work.
b)How many watches does Diver Time need to sell to maximize profits? Explain
c) What is the maximum profit? Explain.
Thanks :))) Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
The break even point is where ,
or no profit
(a)
Use quadratic formula hundreds
and hundreds
There are 2 break even points:
50 watches sold and
600 watches sold
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(b)
The maximum profit is where:
When 325 watches are sold, the profit is maximum
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check:
here's the plot:
