SOLUTION: Business and Finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function P(x) = 2.25x-7000 (c) What i

Question 74203: Business and Finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function
P(x) = 2.25x-7000
(c) What is the break-even point for sales?
This is exercise 53 below:
Business and Finance. If the inventor of a new product believes that the cost of producing the product is given by the function
C(x)= 1.75 + 7000
How much does it cost to produce 2000 units of her invention?
$10,500

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The break-even point is when the profit is 0. So if we set p(x)=0 we could find x

So if she sells about 3,111 units then she breaks even.

Check:
Plug in x=3111.11

Works

I'm assuming the function looks like
So just plug in 2000 for x

So it costs $10,500 to produce 2000 units.

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