the daily production cost for a factory to manufacture x deluxe contour stools is given to be c(x)=500-450x + x2/2 ( in dollars. the price per unit p is given as p=150-3/2x ( in dollars) a. write the equation of the revenue function R(x). b. write the equation for the profit function P(x) c. evaluate the marginal profit for x=10,x=30,x=50 d. evaluate the a marginal profit for x =10,x=30,x=50 e. how many stools should be produced daily to maximize profit.