Question 1159268: 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 much profit is made when a 100,000 watches are sold?
b. how many watches must the company sell in order to break even?
Found 2 solutions by MowMow, ikleyn:
Answer by MowMow(42)   (Show Source):
You can put this solution on YOUR website! P(d) = 2d^2 + 13d -6
a. how much profit is made when a 100,000 watches are sold?
P(100,000) = 2x10^4x10^4 + 13x10^4 -6 = $200,129,994 profit.
Answer by ikleyn(52779)  (Show Source):
You can put this solution on YOUR website! .
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 much profit is made when a 100,000 watches are sold?
b. how many watches must the company sell in order to break even?
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The solution and calculations by @MowMow in his post for part (a) are INCORRECT.
I came to bring a correct solution.
We are given that 100,000 watches are sold. 100,000 is 1000 hundreds,
so, we should substitute 1000 for 'd' into the formula
P(1000) = 2*1000^2 + 13*1000 - 6 = 2012994.
So, the profit is 2012994 in tens of thousands of dollars, or 20,129,940,000 dollars.
ANSWER to part (a). The profit is 20,129,940,000 dollars.
Solved correctly.
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