SOLUTION: A manufacturing company makes ladies purses receiving $120 for each purse sold. If x represents the number of purses made, the income received is determined by the revenue func

Algebra ->  Equations -> SOLUTION: A manufacturing company makes ladies purses receiving $120 for each purse sold. If x represents the number of purses made, the income received is determined by the revenue func      Log On


   



Question 480495:
A manufacturing company makes ladies purses receiving $120 for each purse sold. If x represents the number of purses made, the income received is determined by the revenue function R(x) = 120x. The company has a fixed cost of $12,000 per month and variable costs of $57.50 for each purse made. The cost function is C(x) = 57.5x + 12000. How many purses must the company sell for revenue to equal cost?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A manufacturing company makes ladies purses receiving $120 for each purse sold. If x represents the number of purses made, the income received is determined by the revenue function R(x) = 120x. The company has a fixed cost of $12,000 per month and variable costs of $57.50 for each purse made. The cost function is C(x) = 57.5x + 12000. How many purses must the company sell for revenue to equal cost?
120x = 57.5x + 12000
62.5x = 12000
x = 192 purses