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February 1st, 2017, 07:20 PM   #1
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Unhappy Rational function equation problem solving

Hi I've been tying to figure this out for days. The answer has to be in the form of a rational equation.

John wants to start a padlock company. The production cost of one padlock is 12$. John plans to spend 15 000$ on advertising. He decides to sell each padlock for 20$.

1.Which equation gives the average profit per padlock sold depending on the number of padlocks sold?

2.How many padlocks should John sell if he wants to make an average profit of 5$/padlock?

please help, i'm really stuck!

Last edited by laura3827; February 1st, 2017 at 07:23 PM.
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February 1st, 2017, 07:43 PM   #2
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1. Profit, P, equals revenue minus cost, so we look at

P = 20x - 12x - 15000 = 8x - 15000, where x is the number of padlocks sold.

2. 8x - 15000 = 5x. Does that make sense? Can you complete the question?
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February 1st, 2017, 08:19 PM   #3
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thanks for the reply but I think I have to write the answer under a rational equation.
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February 2nd, 2017, 01:44 AM   #4
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avg profit per unit sold is $\dfrac{P}{x}$ ...

$P_{avg} = \dfrac{20x-(12x+15000)}{x}$

$5 = \dfrac{8x-15000}{x}$
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