A firm decides to use peak-load pricing. Its demand function in the off-peak period is Q = 400 – 4P/3, and during the peak period is Q = 900 – 2P. The firm’s marginal cost is constant at $50 up to its peak capacity of 500 units. What price does the firm charge during the peak period?
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12. given inverse demand
A firm decides to use peak-load pricing. Its demand function in the off-peak period is Q = 400 – 4P/3, and during the peak period is Q = 900 – 2P. The firm’s marginal cost is constant at $50 up to its peak capacity of 500 units. What price does the firm charge during the peak period?
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- Jabari's HookNLadder is the only company selling fire engines in the fictional country of Alexandrina. Jabari initially produced four trucks, but then decided to increase production to five trucks. The following graph gives the demand curve faced by Jabari’s HookNLadder. As the graph shows, in order to sell the additional fire truck, Jabari must lower the price from $105,000 to $90,000 per truck. Notice that Jabari gains revenue from the sale of the additional engine, but at the same time, he loses revenue from the initial four engines because they are all sold at the lower price. Use the purple rectangle (diamond symbols) to shade the area representing the revenue lost from the initial four engines by selling at $90,000 rather than $105,000. Then use the green rectangle (triangle symbols) to shade the area representing the revenue gained from selling an additional engine at $90,000Jabari's HookNLadder is the only company selling fire engines in the fictional country of Alexandrina. Jabari initially produced five trucks, but then decided to increase production to six trucks. The following graph gives the demand curve faced by Jabari's HookNLadder. As the graph shows, in order to sell the additional fire truck, Jabari must lower the price from $160,000 to $120,000 per truck. Notice that Jabari gains revenue from the sale of the additional engine, but at the same time, he loses revenue from the initial five engines because they are all sold at the lower price. Use the purple rectangle (diamond symbols) to shade the area representing the revenue lost from the initial five engines by selling at $120,000 rather than $160,000. Then use the green rectangle (triangle symbols) to shade the area representing the revenue gained from selling an additional engine at $120,000. PRICE (Thousands of dollars per fire engine) 220 200 180 160 140 120 100 80 60 40 0 Jabari 0 + 1 True…Jabari's HookNLadder is the only company selling fire engines in the fictional country of Alexandrina. Jabari initially produced eight trucks, but then decided to increase production to nine trucks. The following graph gives the demand curve faced by Jabari's HookNLadder. As the graph shows, in order to sell the additional fire truck, Jabari must lower the price from $80,000 to $40,000 per truck. Notice that Jabari gains revenue from the sale of the additional engine, but at the same time, he loses revenue from the initial eight engines because they are all sold at the lower price. Use the purple rectangle (diamond symbols) to shade the area representing the revenue lost from the initial eight engines by selling at $40,000 rather than $80,000. Then use the green rectangle (triangle symbols) to shade the area representing the revenue gained from selling an additional engine at $40,000. PRICE (Thousands of dollars per fire engine) 220 200 180 160 140 120 100 80 60 40 20 0 Jabari 0 1 O…
- Jabari's HookNLadder is the only company selling fire engines in the fictional country of Alexandrina. Jabari initially produced five trucks, but then decided to increase production to six trucks. The following graph gives the demand curve faced by Jabari's HookNLadder. As the graph shows, in order to sell the additional fire truck, Jabari must lower the price from $160,000 to $120,000 per truck. Notice that Jabari gains revenue from the sale of the additional engine, but at the same time, he loses revenue from the initial five engines because they are all sold at the lower price. Use the purple rectangle (diamond symbols) to shade the area representing the revenue lost from the initial five engines by selling at $120,000 rather than $160,000. Then use the green rectangle (triangle symbols) to shade the area representing the revenue gained from selling an additional engine at $120,000. PRICE (Thousands of dollars per fire engine) 220 200 180 160 140 120 100 80 60 40 20 Jabari 0 0 1 2 3…15.3 (0) The demand function of dog breeders for electric dog polishers is qu = max{200-p, 0}, and the demand function of pet owners for electric dog polishers is qo= max{90 - 4p, 0}. (a) At price p, what is the price elasticity of dog breeders' demand for electric dog polishers? What is the price elasticity of pet owners' demand? (b) At what price is the dog breeders' elasticity equal to -1? At what price is the pet owners' elasticity equal to -1?_ (c) On the graph below, draw the dog breeders' demand curve in blue ink, the pet owners' demand curve in red ink, and the market demand curve in pencil.Consider a wholesale electricity market with two types of generators: coal plants and natural gas plants. There are 10 generators for each fuel type. Each generator has a capacity of 1,000 MW. Marginal costs vary across generation types: $10 per MWh for coal and $20 per MWh for natural gas. During peak hours, demand is given by Q = 30,000 – 100P (measured in MWh). During semi- peak hours, demand is given by Q = 22,000 – 100P. During off-peak hours, demand is given by Q = 20,000 – 100P. Assume that a day consists of one off-peak hour and either a semi-peak or a peak hour (so a day contains two hours only!). Probabilities of semi-peak vs. peak hours are 50%- 50%. For now, assume that the market is competitive. Calculate the peak, the semi-peak, and the off-peak prices of electricity. What are the expected daily profits for each plant?
- Caustic sodaSuppose that demand for caustic soda in Freedonia is given by D(P) = 10000 - 2P, where the quantity demanded is measured in units per year and the price P is in $ per unit. The market for caustic soda in Freedonia is perfectly competitive and consists of many price-taking firms each operating an identical plant. Caustic soda production requires chlorine which all plants must buy from a monopolist named Freedonia Chlorine Corporation (FCC). FCC can produce chlorine at zero marginal cost and has no fixed costs. Producing one unit of caustic soda requires one unit of chlorine and FCC charges a price of PC per unit of chlorine. Caustic soda plants have constant marginal cost which is MC = $(PC + 1000). (For example, if PC = $200 then each plant has MC = $1200.) Suppose caustic soda firms have no fixed costs and there are no capacity constraints in the market. a. Suppose a new market opportunity opens up and FCC can now sell chlorine in Baldonia as a monopolist. Demand…Asim's HookNLadder is the only company selling fire engines in the fictional country of Alexandrina. Asim initially produced eight trucks, but then decided to increase production to nine trucks. The following graph gives the demand curve faced by Asim's HookNLadder. As the graph shows, in order to sell the additional fire truck, Asim must lower the price from $80,000 to $40,000 per truck. Notice that Asim gains revenue from the sale of the additional engine, but at the same time, he loses revenue from the initial eight engines because they are all sold at the lower price. Use the purple rectangle (diamond symbols) to shade the area representing the revenue lost from the initial eight engines by selling at $40,000 rather than $80,000. Then use the green rectangle (triangle symbols) to shade the area representing the revenue gained from selling an additional engine at $40,000. PRICE (Thousands of dollars per fire engine) 220 Asim 200 180 160 140 120 100 80 60 40 20 0 0 1 True 2 False 4 5…3. The equation of the monthly demand for cabin bags is given by: 45-p= 0'5q and the monthly average cost function is: Cme(q) = q²-39'50q+120+¹25, where p ≤ 45 is the unit price and q are the number of units sold. 3.1 What are the price and quantity that maximize the total profit? How much is this profit? 3.2 Calculate the marginal income (revenue) of the 20th unit using marginal income (revenue) and compare it to the actual additional income. 3.3 Calculate the price elasticity of demand for the quantity that maximizes profit and interpret the result obtained.
- George has been selling 5,000 T-shirts per month for $8.50. When he increased the price to $9.50, he sold only 4,000 T-shirts. Which of the following best approximates the price elasticity of demand? -2 -2.2 -2.6 -1.8 Suppose George's marginal cost is $5 per shirt. Before the price change, George's initial price markup over marginal cost was approximately . George's desired markup is . Since George's initial markup, or actual margin, was than his desired margin, raising the price was .Suppose market demand for mobile operators is expressed by Q=90-3P where Q is measured by calls in hours. There are three firms that supply the market: TRCell,VFone, and Avea .Avea provide hourly calls at a unit cost of 20$, where as TRCell& VFone has a unit cost equal to 10 Suppose firms are competing in price( no capacity constraints ) a) What is the market price? Why? b) How much does each firm sell in Bertrand equilibrium? c) What are firms’ profits? Is there any way for all firms to get higher profitsThe inverse demand curve facing a resort hotel is during the low season and PL = 100 - QL PH = 400 - QH during the high season. The resort's marginal cost is $50 per night in cleaning costs for the room and general maintenance and administration. The resort only has 100 rooms. What is the resort's profit-maximizing peak-load pricing strategy? Illustrate the solution in a diagram. 1.) Using the point drawing tool, indicate the profit-maximizing price during the low season. Label this point 'e.' 2.) Using the point drawing tool, indicate the profit-maximizing price during the high season. Label this point 'e.' Carefully follow the instructions above, and only draw the required objects. C p, $ per night 400- 350+ 300- 250- 200- 150- 100- 50- 0+ 0 MR D 50 ☆ H MR' 100 150 200 250 300 Q, Rooms per night MC DH 350 400 LY