A market for an economics textbook has N potential buyers. Each buyer i has a valuation (maximum willingness to pay) given by 8₁. Each buyer distributed over [0,1], i.e. 9;~U [0,1]. Which of the following statements is true: I buy at most 1 unit and valuations are uniformly
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![A market for an economics textbook has N potential buyers. Each buyer i has a valuation (maximum willingness to pay) given by 8₁. Each buyer will buy at most 1 unit and valuations are uniformly
distributed over [0,1], i.e. 0; ~U [0,1]. Which of the following statements is true:
The price elasticity of demand is -N when p = 1/2.
Firm profit is maximized at p = 1/2.
Doubling the number of buyers will not influence expected demand.
The price for this good should never exceed 1/4.
None of the above.
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- A new market appears that works according to the rules of the Stackelberg model. The costs of firms on this market as a function of individual supply q is C(q) = f + Cq^2, where both F > 0, C > 0. The demand is P(Q) = A - BQ as afunction of total supply Q, with A > 0, B > 0. What is the quantity of followers on the market assuming free entry (as a function of A B C and F) Assume entry costs Z, what is the new equilibrium quantity of firms?GM’s Food Shops has completed a study of weekly demand for its “new-fashioned” tacos in 53 regional markets. The study revealed that where Q is the number of tacos sold per store per week, A is the level of local advertising expenditure, Pop denotes the local population (in thousands), and Pr is the average taco price of local competitors. For the typical GM’s outlet, P = P1.50, A = P1,000, Pop = 40, and Pr = P1. Q = 400 - 1,200P + 0.8A + 55Pop + 800Pr Estimate the weekly sales for the typical GM’s outlet. Determine the equilibrium price and equilibrium quantity, if supply is Qs = 700 + 1,200P considering the general demand function of GM’s outlet Should GM raise its taco prices? Why or why not?The market for widgets is characterized by many buyers but only two producers, A and B. The market demand for widgets is given by: P = 500 − 10QD where QD = total demand for widgets Both producers face the same production cost, which is $120 in fixed cost and a constant variable cost of $20 per widget. Determine the profit-maximizing levels of output by producers A and B if they both choose the quantity of widgets produced simultaneously. What is the profit for each producer? If both producers collude, what is the equilibrium price and quantity? What is the profit for each producer? (You can assume the firms will share the market equally). Compare your answers to parts (a) and (b). Which outcome (collusive or non-collusive) would the producers prefer? Explain. Which outcome (collusive or non-collusive) is a more stable outcome? Explain. Note: Be sure to show your work.
- Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is –2. The marginal cost of producing the product is constant at $150, while average total cost at current production levels is $225.Determine your optimal per unit price if:Instructions: Enter your responses rounded to two decimal places.a. You are a monopolist.$ b. You compete against one other firm in a Cournot oligopoly.$ c. You compete against 19 other firms in a Cournot oligopoly.$3) A firm produces two goods Q1 and Q2 with the following demand functions: P1 = 315 – 4Q1 P2 = 260 – 3Q2 2 2 and a joint total cost function TC = 2Q1 + 3Q 1 Q 2 + Q2 + 400 Find (a) the profit maximizing level of output for Q1 and Q2. (b) the market clearing prices P1 and P2 (c ) the maximum profit the firm could earn Also,(d) use the Hessian determinant to evaluate the second order condition and interpret your resultsConsider the online learning problem with demand learning. The firm sells a product without any historical demand information. In each period, the firm can set a price and would observe a demand based on the charged price. Suppose the true demand function in each period is D(p) = 9−3p+ϵ, where ϵ is a random variable with zero mean. The marginal cost is negligible. (a) What price should the firm charge if you know the demand function? What would be the expected revenue if the firm implements this price for n periods? (b) Suppose you do not know the demand function, but know that the demand is a linear function, and the slope is 3. In other words, you know that demand is D(p) = a − 3p + ϵ and would like to estimate a from the data. Suppose from the historical data, you have k pairs of demand and price, i.e., (p1, D1),(p2, D2), ...,(pK, DK). Suppose you would like to minimize the residual sum of square, i.e., min a X K i=1 (Di − a + 3pi) 2 . (1) What would be your best estimate of a?…
- Miron Floren, of Lawrence Welk Show fame, now tours the country performing at accordion concerts. A careful analysis of demand for tickets to Mr. Floren’s concerts reveals a strange segmentation in the market. Demand for tickets by senior citizens is described by Qo = 500P^–3/2 , while demand by those under 65 years old is Qy = 50P^–4. If the marginal cost of a ticket is £3, how should tickets to Mr. Floren’s concerts be priced to maximize profits? A. £3 for senior citizens and £8 for those younger B. £6 for senior citizens and £12 for those younger C. £9 for senior citizens and £4 for those younger D. £4.71 for all tickets E. £12 for senior citizens and £4.50 for those youngerBased on the best available econometric estimates, the market elasticity of demand for your firm’s product is −2.5. The marginal cost of producing the product is constant at $225, while average total cost at current production levels is $300.Determine your optimal per unit price if:Instructions: Enter your responses rounded to two decimal places.a. you are a monopolist. $ b. you compete against one other firm in a Cournot oligopoly. $ c. you compete against 19 other firms in a Cournot oligopoly. $ Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.In a small college town there is only one movie theater. In a given month, if the theater is open, the owners have to pay a fixed amount of $6,000 for the films, ushers, etc., regardless of how many people come to the movies. For simplicity, assume that if the theater is closed, its costs are zero. The demand function for movie tickets in the town is characterized by ??= 45−QT/60 a. Find the profit-maximizing price and quantity of movie tickets, and indicate them on the graph above. How much would the theater make in profits? b. Suppose the local government implements a property tax, so that each month the theater now must pay a lump sum tax of $700. What will be the price and quantity of movie tickets under this tax?
