Business Calculus question. The price denand equation and the cost function for the production of television sets are given, respecticely, by x=9000-30p and C (x)=150,000 +30x where x is the number of sets that can be sold at a price of $p per set and C(x) is the total cost (in dollars) of producing x sets.
a)Express the price p as a function of the demand x, and find the domain of the domain of this function.
b)Find the marginal cost
c)Graph the cost and the revenue function on the same graph. Find the break-even points
e)Find the profit function in terms of x
g) Find the marginal profit and evaluate at P' (1500) and P ' (4500) , and interpret these quantities.