Question

The point at which a company's costs equals its revenue is the break-even. Crepresents cost, in dollars, of x units of a product. R represents the revenue, in dollars, for
the sale of x units. Find the number of units that must be produced and sold in order to break even.
C = 15x + 12,000
R = 18x-6000

Answer 1

when r = c is the break even point.

since r = 14x and c = 12x + 36000, then the break even point is when 14x = 12x + 36000

subtract 12x from both sides of this equation to get 14x - 12x = 36000.

combine like terms to get 2x = 36000.

divide both sides of this equation by 2 to get x = 18000.

that'a our answer.

the revenue will be equal to the cost when 18000 units are sold.

revenue = 14 * 18000 = 252000.

cost = 12 * 18000 + 36000 = 252000.