Question

To break even in a manufacturing​ business, income or revenue R must equal the cost of production C. The revenue R from selling x number of computer boards is given by Upper R equals 90 x​, and the cost C of producing them is given by Upper C equals 80 x plus 1 comma 000. Find how many boards must be sold to break even. Find how much money is needed to produce the​ break-even number of boards.

Answer 1

100

Explanation:

Given:

income or revenue = R

Cost of production = C

Income or revenue R = 90x

x number of computer boards

C = 80x + 1,000

Also,

For break-even number of boards

C = R

80x + 1,000 = 90x

or

10x = 1,000

or

x = 100

Hence,

For break-even the number of boards that must be produced are 100