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

Discussion in 'Calculator Requests' started by math_celebrity, Nov 20, 2018.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    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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