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
Algebra.Com
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
----------------
(b)
The maximum profit is where:
When 325 watches are sold, the profit is maximum
----------------
check:
here's the plot:
RELATED QUESTIONS
The digital watch company Makes digital watches for scuba divers. The company models its (answered by ikleyn)
The Diver Time company makes digital watches for scuba divers. The company models its... (answered by MowMow,ikleyn)
The digital watch company Makes digital watches for scuba divers. The company models its (answered by ikleyn)
The Diver Time company makes digital watches for scuba divers. The company models its... (answered by ikleyn)
The digital watch company Makes digital watches for scuba divers. The company models its... (answered by Alan3354)
If a scuba diver starts at sea level, the pressure on the diver at a depth of d feet is... (answered by ankor@dixie-net.com)
GoQuik Dinners makes meals for people on the go. The company models their profit with the (answered by fractalier)
The profits of a company that produces auto parts can be represented by a linear... (answered by texttutoring)
A company determines that its total profit is given by the function P(x) = - 2x + 358x -... (answered by ikleyn)