SOLUTION: f. What is the profit made from selling 20 tile sets per month? g. What is the profit made from selling 25 tile sets each month? h. What is the profit made from selling

Algebra ->  Graphs -> SOLUTION: f. What is the profit made from selling 20 tile sets per month? g. What is the profit made from selling 25 tile sets each month? h. What is the profit made from selling      Log On


   

Question 121750: f. What is the profit made from selling 20 tile sets per month?

g. What is the profit made from selling 25 tile sets each month?


h. What is the profit made from selling no tile sets each month? Interpret your answer.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

#1 f

Let's find the profit when 20 tiles are sold. So in this case, x=20


P=-1x%5E2%2B56x-300 Start with the given function.


P=-1%2820%29%5E2%2B56%2820%29-300 Plug in x=20. In other words, replace each x with 20.


P=-1%28400%29%2B56%2820%29-300 Evaluate %2820%29%5E2 to get 400.


P=-400%2B56%2820%29-300 Multiply -1 and 400 to get -400


P=-400%2B1120-300 Multiply 56 and 20 to get 1120


P=420 Now combine like terms


So when 20 tiles are sold, the profit is $420


#1 g



Let's find the profit when 25 tiles are sold. So in this case, x=25



P=-1x%5E2%2B56x-300 Start with the given function.


P=-1%2825%29%5E2%2B56%2825%29-300 Plug in x=25. In other words, replace each x with 25.


P=-1%28625%29%2B56%2825%29-300 Evaluate %2825%29%5E2 to get 625.


P=-625%2B56%2825%29-30%2B0 Multiply -1 and 625 to get -625


P=-625%2B1400-300 Multiply 56 and 25 to get 1400


P=475 Now combine like terms



So when 25 tiles are sold, the profit is $475



#1 h


Let's find the profit when 0 tiles are sold. So in this case, x=0



P=-1x%5E2%2B56x-300 Start with the given function.


P=-1%280%29%5E2%2B56%280%29-300 Plug in x=0. In other words, replace each x with 0.


P=-1%280%29%2B56%280%29-300 Evaluate %280%29%5E2 to get 0.


P=%2B0%2B56%280%29-30%2B0 Multiply -1 and 0 to get 0


P=%2B0%2B0-300 Multiply 56 and 0 to get 0


P=-300 Now combine like terms


So when 0 tiles are sold, the profit is -$300


In other words, the company lost $300 by not selling any tiles