Isabel is making face mask. She spends $50 on supplies and plans on selling them for $4 per mask. Ho

Discussion in 'Calculator Requests' started by math_celebrity, Jan 25, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Isabel is making face mask. She spends $50 on supplies and plans on selling them for $4 per mask. How many mask does have to make in order to make a profit equal to $90?

    Set up the cost function C(m) where m is the number of masks:
    C(m) = supply cost
    C(m) = 50

    Set up the cost function R(m) where m is the number of masks:
    R(m) = Sale Price * m
    R(m) = 4m

    Set up the profit function P(m) where m is the number of masks:
    P(m) = R(m) - C(m)
    P(m) = 4m - 50

    The problems asks for profit of 90, so we set P(m) = 90:
    4m - 50 = 90

    To solve this equation for m, we type it in our search engine and we get:
    m = 35
     

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