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- A local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit functionComplete the following table showing the demand for snow skiing lessons per day. Do this by filling in the values for (i), (ii), and (ii). Average Revenue (AR = TR/Q) Marginal Revenue (MR = ATRIAQ) Lessons Total Revenue (TR =PxQ) Price (P) $70 per Day (Q) $65 55 45 1 65 65 60 55 50 45 $65 2 3 120 60 (i) 200 225 55 4 50 35 5 (ii) 40 25 6. 40 240 15 7 35 245 35 5 8 30 240 30 (ii) (i) Total revenue for 3 lessons is $ (ii) Average revenue for 5 lessons is S (iii) Marginal revenue for the 8th lesson is $Complete the following table showing the demand for snow skiing lessons per day. Do this by filling in the values for (i), (ii), and (iii). Average Revenue (AR = TR/Q) Marginal Revenue (MR = ATR/AQ) Lessons Total Revenue Price (P) (TR =P× Q) $0 per Day (Q) $90 $86 82 86 86 $86 82 164 78 (i) 296 3 78 78 70 74 74 62 70 350 (ii) 54 6 66 396 66 46 7 62 434 62 38 8 58 464 58 (iii) (i) Total revenue for 3 lessons is $. (ii) Average revenue for 5 lessons is $. (iii) Marginal revenue for the 8th lesson is $.
- In a monopolistically competitive industry, a firm has a short-run and long-run cost function C = 150 + 20Q + 5Q2 The demand function for the firm's product is Q = α – P. (C = cost, Q = quantity, P = price, α = parameter). (i) If α = 116 short, determine the quantity, the price and profit of the business. (ii) What is the firm's demand function at long term equilibrium? MAKE A GRAPHCentral Grocery in New Orleans is famous for its muffaletta, a large round sandwich filled with deli meats and topped with a tangy olive salad. Suppose the following table represents cost and revenue data for Central Grocery. Muffaletta Sold per Day Price (P) Total Revenue (TR) Marginal Revenue (MR) Total Cost (TC) Marginal Cost (MC) Average Total Cost (ATC) Profit 0 $15 $12 1 14 18 2 13 20 3 12 21 4 11 23 5 10 26 6 9 30 7 8 35 8 7 42 9 6 52 10 5 78 Fill in the table What are the profit-maximizing price and quantity, and what…Suppose a representative monopolistic firm faces the following demand function: Pi = 20-2qi where pi is the real price and qi is the (real) output. Assume the firm's total cost function is: Ci= 4qi (a) Derive the marginal revenue function and the marginal cost function, respectively. (b) Find the profit maximizing output and real price. (c) If the expected price, Pe = 2, what profit maximizing nominal price the firm would set? Explain.
- In the long run period, a small number of firms produces the differentiated product "X" in a monopolistic competition market. The total demand for this product "X" can be written as: Qp(p) = 1350 – 45p The total cost function is: 1 TC = q³ – 3q² + 40q 10 What is the number of firms in this market?Lukanga Water has been providing water services in the Central Province for more than 20 years. Business analysts estimated the demand for water is P 40- 5Q, where Q is the number of clients served (in thousands) and P is the price charged (in millions of Kwacha). Lukanga Water total costs are determined as TC = 10 - 0.75Q. (a) How much is the profit maximizing level of output? (b) How much is Price at profit maximizing level of output? (c) Calculate the Profit level.|1.6.1 A company manufactures and sells x dellphones per week. The weekly price-demand and cost equations are given below. p= 400 - 0.5x and C(x) = 20,000 + 140x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly revenue is $ (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly profit is $ (Round to the nearest cent as needed.)
- Using the figure above, what is the total revenue for the firm?The market structure of the local pizza industry is best characterised by monopolistic competition. Pizza Shack is one of the producers in the local market.The market demand for Pizza Shack is: Qd = 225 – 10P.Pizza Shack’s cost function is: C(Q) = 0.15Q^2Where Q^2 refers to q squared5. Differentiate the total cost function to find marginal cost:The publisher of a magazine gives his staff the following information: Current price Current sales Current revenue Current total costs $2.00 per issue 150,000 copies per month $300,000 per month $450,000 per month He tells the staff, "Our costs are currently $150,000 more than our revenues each month. I propose to eliminate this problem by raising the price of the magazine to $3.00 per issue. This will result in our revenue being exactly equal to our cost." Refer to the table above, which of the following statements is correct? The publisher's analysis is correct only if the demand is elastic. The publisher's analysis is correct only if the demand is perfectly elastic. The publisher's analysis is correct only if the demand is unit elastic. The publisher's analysis is correct only if the demand is perfectly inelastic.