Question 174417
Let n=number of toys


Total Cost = Number of Toys * Cost per toy



So the cost function is {{{C=1.8n}}}



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Revenue = Number of Toys * Price per toy



So the revenue function is {{{R=3n}}}



Note: the revenue is the amount of money he makes BEFORE expenses are factored in.



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Now remember, profit is simply the difference of the cost from the revenue



So 


Profit = Revenue - Cost


So the profit function will be


{{{P=R-C}}}



{{{P=3n-1.8n}}} Plug in {{{R=3n}}} and {{{C=1.8n}}}



{{{P=1.2n}}} Combine like terms.




Since he wants "to make a profit of exactly $36.00", this means that {{{P=36}}}




{{{36=1.2n}}} Plug in {{{P=36}}}



{{{36/1.2=n}}} Divide both sides by 1.2 to isolate "n"



{{{30=n}}} Divide.



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Answer:


So the answer is {{{n=30}}} which means that he will have to sell 30 toys to make a profit of exactly $36.00