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.

Question

Mathematics

Commando

21 May, 09:14

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.

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Answers (1)

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Ayanna · Answer 1

100

Step-by-step 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