SOLUTION: Acme bird feed company sells bird feeders. The total cost function for these feeders is C(x) = 30x + 1200, and the total revenue function is R(x) = 38x, where x is the number of u

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Acme bird feed company sells bird feeders. The total cost function for these feeders is C(x) = 30x + 1200, and the total revenue function is R(x) = 38x, where x is the number of u      Log On


   

Question 964136: Acme bird feed company sells bird feeders. The total cost function for these feeders is
C(x) = 30x + 1200, and the total revenue function is R(x) = 38x, where x is the number of units
produced and sold.
a.) What is the total cost if 50 units are sold?
b.) Find the profit function. [hint], remember that P(x) = R(x) - C(x)
c.) What is the Profit for 50 units sold?
d.) Find the number of units that gives a break even point.
Answer by amarjeeth123(570) About Me  (Show Source):
You can put this solution on YOUR website!
C(x) = 30x + 1200 R(x) = 38x
a)Total cost=30(50)+1200=1500+1200=2700
b)Profit function P(x) = R(x) - C(x)=38x-(30x + 1200)=8x-1200
c)Profit for 50 units=8(50)-1200=400-1200=-800
There is a loss of 800 for 50 units.
d)For break even P(x)=0
8x-1200=0
8x=1200
x=1200/8=150 units
Breakeven occurs at 150 units.