1) A mainframe computer retailer is expanding by offering retailers in cities throughout the Midwest. Based upon recent operating experience, each mainframe sold will result in $10,000 in variable wholesale, service, and warranty costs. Also, each franchise will incur $500,000 per year in fixed over head costs. The retailer expects a typical franchise to face the following demand curve: P = 30,000 - Q Where P is the price in dollars and Q is the number of mainframes sold. What is the profit function for each franchise? п
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- Wonopoly and natural resource prices Suppose that a firm is the sole owner of a stock of a natural resource. a. How should the analysis of the maximization of the discounted profits from selling this resource (Equation 17.63 be modified to take this fact into account? b. Suppose that the demand for the resource in question had a constant elasticity form q(t)=a[p(t)]b . How would this change the price dynamics shown in Equation 17.67? c. How would the answer to Problem 17.7 be changed if the entire crude oil supply were owned by a single firm?he Pear Computer Company just developed a totally revolutionary new personal computer. Pear estimates that it will take competitors at least two years to produce equivalent products. The demand function for the computer is estimated to be P=2,500−500Q�=2,500−500� where Q� is millions of computers. The marginal (and average variable) cost of producing the computer is $900. Assuming Pear acts as a monopolist in its market, the profit-maximizing price and output levels are per computer and million computers, respectively. The total contribution to profits and fixed costs at this output level is million. Pear Computer is considering an alternative pricing strategy of price skimming. It plans to set the following schedule of prices over the coming two years: Complete the following table by calculating the contribution to profit and overhead for each of the 10 time periods and prices. Time Period Price Quantity Sold Total Contribution ($) (Million)…Apparel manufacturer Nike produces high-end and low-end versions of their running shirts. They estimate that the demands for their products are given by: High-end shirts: P = 130 - 2QH , andLow-end shirts: P = 80 - QL, where Q is measured in 1000 shirts, "H" denotes High-end and "L" denotes Low-end Both types of shirts are produced on the same production line in the same facility, so the marginal cost of producing and selling both types of shirts is constant at $30. Supposing that (i) the two demands are independent and (ii) Nike can produce and market the shirts such that the high- and low-end markets are successfully segmented, what are the profit-maximizing prices Nike would charge for each version?Answer Options:a) by the midpoint rule, PH = $65 and Pl = $40b) PH = $80 and PL = $55c) Nike will set price equal to marginal cost for both versionsd) PH = $130 and PL = $80
- Can you help with parts c,d, and e please? The estimated daily demand for river corssings on a proposed new bridge is: Qd = 100,000 - 20,000P where Qd is the quantity demanded measured in number of daily crossings and P is the price(toll) per crossing in dollars. Engineers estimate that constructing the new bridge will result in a fixed cost of $1.2 billion or $120,000 per day over the life of the bridge. Once constructed, there are no marginal costs and variable costs associated with the bridge's use. Based upon the above information, answer the following questions: a. If a private company were to build the bridge, what would be the profit-maximizing number of daily crossings? b. What price per crossing(toll) would the profit-maximizing company establish? c. What would be the socially optimal number of daily crossings? d. What deadweight loss would exist given your answers to part (a) and (b)? e. Would a profit-maximizing company build the bridge?Suppose demand and supply curves for you company’s product are given by:QD = 10 -XP QS =5 +YP You will need to find value for X between [0.1 -3] and Y between [0.1 -3] based on the elasticity of demand and supply. This elasticity in turn depends on the type of product, marketstructure and competitive advantage of the company. In this case, the product is an electric car and the price elasticity of demand is relatively high. Moreover, this does not have to be an exact value, and it should be done by looking at the graph of the price elasticity.A company produces and sells a consumer product and thus far has been able to control the volume of the product by varying the selling price. The company is seeking to maximize its net profit. It has been concluded that the relationship between price and demand, per month, is approximately D = 500 – 5p, where p is the price per unit in dollars. The fixed cost is $1,000 per month, and the variable cost is $20 per unit. Obtain the answer mathematically to the following questions: a.What is the optimal number of units that should be produced and sold per month? b.What is the maximum profit per month? c.What are the breakeven sales quantities and the range of profitable demand volume?
- A local defense contractor is considering the production of fireworks as a way to reduce dependence on the Military. The variable cost per unit is $ 40D. The fixed cost that can be allocated to the production of fireworks is negligible. The price charge per unit will be determined by the equation p= 180-5(D), where D represent demand in unit 1) What is the optimal number of units the defense contractor should produce in order to maximize profit per week? 2) What is the profit if the optimal number of unit produced?Tim's Tires sells tires under the firm's own brand name and private label tires to discount stores. The tires sold in both sub-markets are identical, and the marginal cost is constant at $15 per tire for both types. The firm has estimated the following demand curves for each of the markets: PB = 70 - 0.0005QB (brand name) PP = 20 - 0.0002QP (private label). Quantities are measured in thousands per month and price refers to the wholesale price. a) By selling the brand name and private label tires at different prices, is the firm is using first, second, or third degree price discrimination? b) With price discrimination, the firm's TOTAL profit is _______________ (assume fixed costs are zero). c) If the firm cannot price discriminate and must charge a single price in the market, the optimal price is and the optimal quantity is ________________. The firm's total profit in this case is approximately ________________(again, assume fixed costs are zero). d) When price discriminating, the…Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be, P = 520 − Q , 50 where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $160 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…
- Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be,P = 670 − Q/40,where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $190 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be,P = 670 − Q/40,where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $190 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be,P = 670 − Q/40,where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $190 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…