Find the number of units that must be produced and sold in order to break even. Find the value of x for which C=R. C=13x+28,000 and R=15

Question

 The point at which a company's costs equal its revenues is the break-even point. C represents the cost, in dollars, of x units of a product and R represents the revenue, in dollars, from the sale of x units. Find the number of units that must be produced and sold in order to break even. Find the value of x for which C=R. C=13x+28,000 and R=15x

Answer 1

if C=13x+2800 and R=15x, then C=R is 13x+2800=15x. Solve for x,

 

        13x + 2800 = 15x

        2800 = 15x - 13x

        2800 = 2x

        1400 = x