5000 Find the consumers' surplus if the demand function for a particular beverage is given by Dg) and if the supply and demanid are in equilbribnt at =5 (50 + 9) The consumers surplus is S (Round to the nearest oent as needed.)
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- Suppose we know that p=1,056– D/5, where p = price in dollars and D = annual demand. The total cost per year can be approximated by $1,000 + 2D2 . a.Determine the value of D that maximizes profit. b.Show that in part(a) profit has been maximized rather than minimized. c. Find the maximum profitSuppose we know that p=1,056– D/5, where p = price in dollars and D = annual demand. The total cost per year can be approximated by $1,000 + 2D2 . a.Determine the value of D that maximizes profit. b.Show that in part(a) profit has been maximized rather than minimized. c. Find the maximum profit Show handwritten solutions.The BCY Corporation provides accounting services to a wide variety of customers, most ofwhom have had a business association with BCY for more than five years.BCY's demand is: P = 24,000 – 20Q, and BCY's marginal cost of service is: MC = 40Q.a. If BCY charges a uniform price for a unit of accounting service, Q, what price must itcharge per unit, and how many units must it produce per time period in order to maximizeprofit? Calculate the consumer surplus.b. If BCY could enforce first-degree price discrimination, what would be the lowest pricethat it would charge and how many units would it produce per time period?c. With perfect price discrimination and ignoring any fixed cost, what is total profit andwhat is the amount of consumer surplus?
- Demand for the latest best-seller at OHaganBooks.com, A River Burns Through It, is given by q =-3p +55 copies sold per week when the price is dollars. Find the revenue function and use it to determine what price the company should charge to obtain the maximum revenue? Round to two decimal places as needed.Problem 2 Refer to problem 1.(Problem 1: Auto Mart is a mythical seller of a variety of automobileparts and accessories. Auto Mart's owner, Jonathan Trott, wishes to determine the optimum order quantity for oneof the store's popular wiper blades. The annual demandfor the wiper blades is 16,000. The annual holding costper unit is US$2.50, and the cost to place an order is US$50:) Assuming that holding costs and ordercosts remain the same, if annual demand for wiper blades doubles to 32,000, does the EOQ also Double? Explainyour answer with relevant calculations.Ken’s firm is committed to reducing greenhouse gas by 10 tons per year. The firm’s cost of abating a ton of carbon is shown below: Quantity of Carbon Abated in tons Marginal Cost of Carbon Abatement 1 $3 2 $4 3 $5 4 $6 5 $7 6 $8 7 $9 8 $10 9 $11 10 $12 Ken also has the option to instead pay for a reforestation project that offsets a ton of carbon. Each reforestation project cost $7. What is the best combination of production abatement and reforestation abatement for Ken? How much money does Ken save byusing the reforestation abatement?
- . The monthly demand for trotro rides in Kumasi, Ashanti depends on the price of a taxi ride, the price of a trotro ride, and the average monthly income of riders. Some consumers might choose to ride the taxi instead of the trotro, while other riders might use both forms of transportation to get to their final destination. The demand function for trotro rides is: Qd = 9,750 – 500P + 250Pj + 5INCOME, where Qd is the number of trotro rides demanded per month, P is the price of a ride, Pj is the price of a taxi ride, and INCOME is the average monthly income of riders. Suppose that P = $1.50, Pj = $4, and INCOME = $3,000. What is the monthly quantity of trotro rides demanded? What is the value of the cross-price elasticity of demand? Based on your answer, are taxi rides and trotro rides substitutes or complements? What is the value of the income elasticity of demand? Based on your answer, are taxi rides an inferior or a normal good?nd 35. AVERAGE SUPPLY A manufacturer supplies S(p) = 0.5p² + 3p + 7 hundred units of a Sie per certain commodity to the market when the price is p dollars per unit. Find the average supply as the price varies from p = $2 to p = $5. 6 43. EAn airline company determines the price of a seat on a particular route between city A and city B to be p = 200 + 0.02n, where p is the airfare price in euro and n is the number of airplane seats sold per day. The travel demand for this route by air has been found to be n = 4700 – 20p a)Determine the equilibrium price charged and the number of seats sold per day, and the resulting revenues of the company.
- Problem 6Cannes Croissants (not a real company) wishes to determine the optimum production quantity for its topselling product, almond croissants. The annual demandfor almond croissants is 12,000 units. The setup costs fora production run of the croissants is US$15. The holdingcost per unit per year is US$0.50. Production is mostefficient when 80 croissants are produced per day. Thecompany operates 300 days during a year.a What is the economic production quantity (EPQ)?b How many production runs will there by per year?c What is the maximum inventory level?d What is the total annual cost (in US dollars)?e What is the length of a production run in days?A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month. 1) What is the company’s range of profitable output per year?A company produces and sells luxury goods and is able to control the demand for the product by varying the selling price. The relationship between price and demand is found to be: p=10-(42/D^2)+2Dwhere p is the price per unit in million dollars and D is the demand per year. The company is seeking to maximize its profit. The fixed cost is $59 million per year and the variable cost is $25 million per unit. The production capacity is 42 units per year, and the company produces at least 1 unit per month.a) Derive how to find the number of units that should be produced annually to maximize profit.b) What is the maximum profit per year?c) What is the annual breakeven point?d)What is the company’s range of profitable output per year?