SOLUTION: ben is making for next arts and crafts sale.Each toy costs ben $1.80 to make.If he sells the toys for $3.00 each,how many he have to sell to make a profit of exactly $36.00?

Question 174417: ben is making for next arts and crafts sale.Each toy costs ben $1.80 to make.If he sells the toys for $3.00 each,how many he have to sell to make a profit of exactly $36.00?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let n=number of toys

Total Cost = Number of Toys * Cost per toy

So the cost function is

-----------------

Revenue = Number of Toys * Price per toy

So the revenue function is

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

-------------------------------------------

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

So

Profit = Revenue - Cost

So the profit function will be

Plug in and

Combine like terms.

Since he wants "to make a profit of exactly $36.00", this means that

Plug in

Divide both sides by 1.2 to isolate "n"

Divide.

----------------------------------------------------------------------

Answer:

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

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