SOLUTION: Hello, I am having a lot of trouble with this problem I really don't understand it. Anything will help please and thank you. A company specializes in children's monogrammed back

Algebra ->  Finance -> SOLUTION: Hello, I am having a lot of trouble with this problem I really don't understand it. Anything will help please and thank you. A company specializes in children's monogrammed back      Log On


   



Question 855075: Hello, I am having a lot of trouble with this problem I really don't understand it. Anything will help please and thank you.
A company specializes in children's monogrammed backpacks. It costs the company $15 make each backpack with their fixed cost at $125. The company plans to sell each backpack for $40.
1. Find the revenue function, R(x)
2. Find the cost function, C(x)
3. Solve the system graphically to find the number of backpacks the company must sell to break even. Graph.
4. X=Number of backpacks_______________R=C=$__________________
5. Find the profit function, P(x)
6. What will the profit or loss be if they sell 60 backpacks?
7. If the company wishes to make a profit of $3,625, how many backpacks will they need to sell?

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
2) c=15b+125,
1) r=40b,
3)c=r,
4) backpacks b = 5, cost c = 200, revenue r = 200
5)p=r-c
6)p=r-c
c=15b+125,
r=40b,
b=60
backpacks b = 60, cost c = 1025, profit p = 1375, revenue r = 2400
7)p=3625
p =r-c
c=15b+125,
r=40b
backpacks b = 150, cost c = 2375, profit p = 3625, revenue r = 6000