Expert: Richard J. Raridon - 4/30/2007

Question
profitable fruitcakes sharons revenue R(in dollars) on the sale of x fruitcakes is determinrd by the formula R=50x-x^2. her cost c(in dollars)for producing x fruitcakes is given by the formula C=2x+40. For what value x is sharon's profit positive? (profit= revenue-cost) not sure how to go about this one

Answer
Just put down what you indicated, P = R-C = 50x-x^2-2x-40
or P = 48x -x^2 -40
by setting P = 0 and solving for x you can find the maximum value for x for which P is positive, x=47
It's a strange function to have the revenue go down as sales go up.