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Help me out guys

A factory has fixed costs of $1,275 per month. The cost of producing each unit of its product is $2.50. Each unit sells for $10.
The equations that model the cost and revenue for producing x units are shown.
Cost: C(x) = 1275 + 2.5x
Revenue: R(x) = 10x
If the company sells every unit it produces, how many units must it sell in order to break even?

_____ units

User Anna F
by
8.2k points

2 Answers

6 votes

Answer:

They must sell:

170

units

User Uniruddh
by
8.1k points
1 vote
nreak even is when cost=revenue

C(x)=R(x)

1275+2.5x=10x
solve
minus 2.5x from both sides
1275=7.5x
divide both sides by 7.5
170=x

it must sell 170 units to brek even
User Brian Behm
by
9.0k points