Math 110 Course Resources - Indefinite Integrals Course Packet on initial value problems The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.8x + 32 where P'(x) is measured in dollars per unit per month when the level of production is x widgets per month. If the monthly fixed costs for producing and selling the widgets is $110, compute the maximum monthly profit. Number of widgets that corresponds to the maximum monthly profit, x = widgets Maximum monthly profit, P = dollars