a) When P=10
Q = 120-4*10 = 80
Elasticity = -4*10/80 = -0.5
b) TR is maximized when MR =0
MR is twice the slope of the demand curve
Inverse demand curve = P =30-0.25Q
MR = 30-0.5Q
30-0.5Q = 0
Q = 30/0.5 = 60
P = 30-0.25*60 = 15
c) When P =12
Q = 120-12*4 = 72
MR = 30-0.5*72 = -6
4. (6 points) Suppose the Demand for baseballs is given by Q=120 - 4P. a) What...
4. (6 points) Suppose the Demand for baseballs is given by Q = 120 - 4P. a) What is the price elasticity of demand when P= 10? b) At what price will Total Revenue be maximized? c) What is the firm's Marginal Revenue when the price is $12?
4. (6 points) Suppose the Demand for baseballs is given by Q = 120 – 4P. a) What is the price elasticity of demand when P= 10? b) At what price will Total Revenue be maximized? c) What is the firm's Marginal Revenue when the price is $12?
Suppose the demand for Betta fish is given by Q = 200 - 5P. a) (6 points) What is the price elasticity of demand when P = 20? b) (6 points) What is the firm's marginal revenue when the price is $15? c) (6 points) At what price will total revenue be maximized?
2. (12 points) Suppose the demand for a product is given by Q = 200 – 5P. a) Calculate the Price Elasticity of Demand when the price of the good is P = 8? b) What is the Marginal Revenue of the firm when P = $8? c) If the firm wants to increase their total revenue, should they increase or decrease the Price? d) What price should the firm charge if it wants to maximize Total Revenue?
4. Suppose the demand a product given as: Qd = 2400 − 4p (a) At what price is the price elasticity of demand equal to zero? (b) When the price elasticity of demand equal to 1, what’s the quantity being demand at that point? (c) Figure out at what price, the price elasticity of demand is infinite, and explain what does infinite price elasticity of demand mean? (d) What’s the change of revenue generated by sale when the price elasticity...
2. (15 points). The demand function for an oligopolistic market is given by the equation, Q 180-4P, where Q is quantity demanded and P is price. The industry has one dominant firm whose marginal cost function is: MC 12+1Qp, and many small firms, with a total supply function: Qs 20+ P. (a) Derive the demand equation for the dominant oligopoly firm. (b) Determine the dominant oligopoly firm's profit-maximizing out- put and price. (c) Determine the total output of the small...
Consider a monopolist firm facing an inverse demand curve given by P(Q) 2700-9Q. The firm's total cost is given by c(Q) 11,000+900Q (a) Show your work in solving for the firm's profit-maximizing quantity and price. What is (b) Plot this firm's revenue and total cost functions. Illustrate the profit-maximizing quantity (c) Now plot this firm's inverse demand, marginal revenue, and marginal cost curves. Il- the maximized value of profit? on this graph, as well as the firm's maximized profit level....
15. Suppose the demand function for a good is expressed as Q = 100 - 4p. If the good currently sells for $10, then the price elasticity of demand equals ОА. – 4. ов. - 1.5. Ос. - 2.5. OD. – 0.67. 16. If the demand curve for comic books is expressed as Q = 10,000/p, then demand has a unitary elasticity O A. always. OB. never. O c. only when p = 100. OD. only when p = 10,000.
Consider a monopolist firm facing an inverse demand curve given by P(Q) 2700 9Q The firm's total cost is given by C() 11,000+9000 (a) Show your work in solving for the firm's profit-maximizing quantity and price. What is the maximized value of profit? (b) Plot this firm's revenue and total cost functions. Illustrate the profit-maximizing quantity on this graph, as well as the firm's maximized profit level (c) Now plot this firm's inverse demand, marginal revenue, and marginal cost curves....
Suppose demand for a firm’s semiconductor chips is: q = 325 – 4P + 0.75PR + 5A + 3.5Y where P is the price of the firm’s semiconductor, PR is the price of a competing chip, A is advertising expenditures (in $1000), and Y is average income (in $1000). Suppose PR = 120, A = 15, and Y = 60. 1. Derive the inverse demand function of the firm 2. If the firm chooses a price of 130, how many...