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?

Algebra ->  Decimal-numbers -> 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?      Log On


   

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) About Me  (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 C=1.8n


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


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.


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

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%2F1.2=n Divide both sides by 1.2 to isolate "n"


30=n Divide.


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

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