A company that manufactures lamps has a fixed monthly cost of $1800. It costs $90 to produce each l | MathCelebrity Forum

A company that manufactures lamps has a fixed monthly cost of $1800. It costs $90 to produce each l

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A company that manufactures lamps has a fixed monthly cost of $1800. It costs $90 to produce each lamp, and the selling price is $150 per lamp.

Set up the Cost Equation C(l) where l is the price of each lamp:
C(l) = Variable Cost x l + Fixed Cost
C(l) = 90l + 1800

Determine the revenue function R(l)
R(l) = 150l

Determine the profit function P(l)
Profit = Revenue - Cost
P(l) = 150l - (90l + 1800)
P(l) = 150l - 90l - 1800
P(l) = 60l - 1800

Determine the break even point:
Breakeven --> R(l) = C(l)
150l = 90l + 1800

Type this into the search engine, and we get l = 30
 
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