The demand function Q and cost function C(Q) of a commodity are given by the equations \[Q=20-0.01P,\] and C(Q)=60+6Q, where P and Q are the price and quantity, respectively. The total revenue function (TR) in terms of P is

If the revenue function for a particular commodity is R(p) = −51p2 + 65p, what is the (linear) demand function q(p)?q(p) = Give a reason for your answer.R = p + qR = qp    R = q − pR = pqR = pq

The demand function Q and total cost function T(q) of a commodity are given by the equations P=100−4q, and TC=320+4q, where P and q are the price and quantity, respectively. Determine the quantity that must be produced and sold at breaks even.

The demand function of a good is given byP = 140 − 35Qwhere P denotes the price and Q the quantity.(a) Write down the revenue R as a function of the quantity Q.(b) Find the quantity Q that maximizes the revenue and find the maximumrevenue

Let QD = 80 − 20P be the demand function for cigarettes and let QS =10P − 10 be the supply. Suppose the government introduces a specific tax of τ = 1 to belevied on the producers• Obtain the new supply curve.• Determine the equilbrium quantity and price under the tax.• Compute the government revenue.• Compute the incidence (burden) on the consum

A monopoly faces a demand curve given by P = 100 - 0.5Q, where P is the price and Q is the quantity. Calculate the total revenue and marginal revenue when the quantity sold is 40 units.