11. [-/1 Points] DETAILS MY NOTES 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) = -0.6x + 24 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 $100, compute the maximum monthly profit. Number of widgets that corresponds to the maximum monthly profit, x = widgets Maximum monthly profit, P = dollars 12. [-/1 Points] DETAILS MY NOTES Math 110 Course Resources - Indefinite Integrals Course Packet on initial value problems The daily marginal revenue function associated with selling x widgets is given by R'(x) = -9x + 14x + 45 where R'(x) is measured in dollars per unit per day and x denotes the number of widgets produced and sold. (a) Determine the revenue function, R(x), associated with producing and selling x widgets. R(x) = (b) Determine the demand function relating unit price, p(x), to the quantity demanded, x. p(x) = 13. [-/1 Points] DETAILS MY NOTES Math 110 Course Resources - Indefinite Integrals Course Packet on antiderivatives Determine whether each statement is true or false. You have one submission for each statement. (a) (x + 4)2 and x(x + 8) are both antiderivatives of 2x + 8 on the interval (-ce,30). OTrue OFalse (b) 2e2x is an antiderivative of e2* on the interval (-co, 20). OTrue OFalse (c) In(7x) and In(8x) are both antiderivatives of + on the interval (0,20). OTrue OFalse (d) If f(x) = g'(x) on the interval (a,b), then f(x) = g(x) on (a,b). OTrue OFalse