Melissa runs a landscaping business. She has equipment and fuel expenses of $264 per month. If she c

Discussion in 'Calculator Requests' started by math_celebrity, Sep 4, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Melissa runs a landscaping business. She has equipment and fuel expenses of $264 per month. If she charges $53 for each lawn, how many lawns must she service to make a profit of at $800 a month?

    Melissa has a fixed cost of $264 per month in fuel. No variable cost is given. Our cost function is:
    C(x) = Fixed Cost + Variable Cost. With variable cost of 0, we have:
    C(x) = 264

    The revenue per lawn is 53. So R(x) = 53x where x is the number of lawns.

    Now, profit is Revenue - Cost. Our profit function is:
    P(x) = 53x - 264

    To make a profit of $800 per month, we set P(x) = 800.
    53x - 264 = 800

    Using our equation solver, we get:
    x ~ 21 lawns

Share This Page

Related pages

midpoint distance calculatorprobability calculatorshow many calories in a pint of ice cream3pi 2equation with fraction calculatorinterior angles of a nonagonsimplify the radical calculatormargin of error for confidence interval calculatorexponential calcsolve exponential and logarithmic equations calculatorhow to calculate tallyequation solver with fractions calculatordivide quotient calculatorxlii roman numeralratios to fractions calculatornumber of diagonals in a decagonsin 7pirational expressions simplify calculatorcritical number finderheads or tails coin tosssimplifying expression calculator800 in roman numeralshow to calculate a yearly salary per hourearnings before interest and taxes ebitestimate calculator mathvaries jointly and inverselyreducing fractions to simplest form calculatorpair of dice probabilitymoles of copperset interval notation calculatortranslation of mathematical phrases to verbal phrasesrationalise the denominator calculatorsimplify fractions calccalculator with degrees minutes secondsmodular arithmetic calculatorheptagon sum of anglespolynomial equation calculatordegree minutes to decimal degreeshow to simplify expressions calculatormicroliters to millilitersparabola 4psynthetic dividergcf story problemsthe nearest centpythagorean therom calculatormath algebra calculatortransitive property of inequalitiesexpression solver with stepsfind the root calculatorsimple random sampling calculatorconvert 13.5 ounces to mlsolve equations by substitution calculatorfraction equations calculatorfind the x and y intercepts calculatorsolving equations fractions calculatorlcm of expressions calculatorinequalities quadratic2 gal to liters20 mph stopping distancewebsite that solves mathcube calculatorfractions to ratios calculatortrig sum and difference calculatorcritical value chi squarerational root theorem practice problemsreal inflation calculatorhcf solverdouble declining balance method depreciation calculator8.25 tax calculatorfactoring long divisionchi squared table calculatorcalculate y intercept of a linelog to exponential form calculatordividing polynomials long divisioninequality to interval notationnet present value and profitability indexangular calculatortranspose equations calculatorwhat is supplementary anglesfind the center and radius of the circle calculator