Show that the demand function, Q=aP^b ,
a. Is a constant elasticity demand curve.
b. The vertical distance between the (inverse) demand and marginal revenue curves is a constant ratio of the price level for each value of quantity
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Show that the demand function, Q=aP^b , a. Is a constant elasticity demand curve. b. The...
Consider the constant-elasticity demand function Q = p^−ε, where ε > 0. a. Solve for the inverse demand function p(Q). b. Calculate the demand price elasticity. c. Show that p(Q)/MR(Q) is independent of the output level Q. (Hint: Use the relationship between marginal revenue and the elasticity of demand.)
Suppose that you believe that the demand curve is a constant
elasticity demand curve:
Q=Ape,
..............................................
Score: 0 of 1 pt 8 of 11 (7 complete) HW Score: 54.55%, 6. Text Question 4.2 EQuestion Help Suppose that you believe that the demand curve is a constant elasticity demand curve: Q Ap where A is a positive constant and e is the constant elasticity of demand. You have some data and want to estimate a constant elasticity demand curve: where A...
Suppose a monopolist faces the constant price elasticity demand curve: p = Q? where ? < 0. The monopolist has a constant marginal cost of c. a. If ? < -1, can you determine what price and quantity will the monopolist set? Explain. b. If 0>?>-1, what is the price and quantity the monopolist will set?
The price elasticity of demand for a downward sloping straight line demand curve is: a. constant as the price changes along the curve b. a number ranging from negative infinity to positive infinity c. given by the ratio of price and quantity d. lower in absolute value as the price drops along the curve
Suppose that a price setting firm has the following direct demand function: Qd = 100-20P a. Find the inverse demand curve. What is it’s slope and it’s intercept. b. Find the equation for Total Revenue where TR is a function of Q. c. Find the equation for Marginal Revenue, where MR is a function of Q. d. What is the quantity where Total Revenue is maximized? How is this related to Marginal Revenue? e. Calculate the own price elasticity of...
please answer part A AND B!!!!
Let's assume a firm's inverse demand curve and cost equation is given below: P = 175-2Q C400+50QQ (a) Find the optimal quantity, price, and profit (b) With quantity on the x-axis and price on the y-axis, graph the inverse demand, marginal revenue, and marginal cost curves. Show the optimal price and quantity on the graph.
1. Assume that the demand curve is given by Q = 1000 – 0.25P. What is the inverse demand curve? B) Using the inverse demand curve you solved for in 1, solve for the total revenue for this Monopolist. C) Using the total revenue curve you solved for in 2, solve for the marginal revenue curve. D) Assume that Marginal costs are given by 100 + 2Q. What is the profit-maximizing quantity and price for the monopolist? E) Now, turn...
1. Let demand be P(Q) = 6 - 2. What is the price elasticity of demand at Q = 4? a. E = C. b. E= E = -4 d. E= -2 2. Suppose we have 3 types of households each with private demand for a public good (like flood protection) of P1(Q) = 5, P2(Q) = 10 - Q, and P3(Q) = 20 – 2Q. What is the social demand curve for the range Q < 10? a. Ps(0=...
1. The inverse demand function for a good takes the constant elasticity form p(Q) = Qβ , −1 < β < 0, which is a commonly used simple functional form. The good is produced by n identical firms with a cost function c(qi) = cqi . Note that c 0 (qi) = c and c 00(qi) = 0; i.e., there are constant marginal costs. A specific tax of t per unit is imposed on the production of the good. (a)...
1. Suppose that a monopolist has a patent for widgets and the market demand curve Q(P) is: Q = 60 – 2P, where P is the price in dollars and Q is quantity. a. Solve for the inverse demand P(Q) curve by solving the demand curve for P in terms of Q. b. Using your answer from (a), express the monopolist’s total revenue in terms of Q as TR(Q) = QP(Q). c. Calculate the monopolist’s marginal revenue MR(Q) by differentiating...