Question

a manufacturer of household items has total revenue given by the function ( r = 15.5x ) and has total cost given by ( c = 13x + 250 ), where ( x ) is the number of items produced and sold. use graphical methods to find the number of units at which the manufacturer will break even for the product. the number of units that gives break even for the product is \\(\square\\). (simplify your answer.)

Explanation:

Step1: Set revenue equal to cost

$15.5x = 13x + 250$

Step2: Isolate x terms

$15.5x - 13x = 250$

Step3: Simplify left side

$2.5x = 250$

Step4: Solve for x

$x = \frac{250}{2.5}$

Answer:

100