P=1,000-0.0025Q where Q is the number of wine decanters produced monthly. Bavarian Crystal Works also pays a lease for its factory and equipment every month in the amount of $1,000,000. Finally, the cost to produce each wine decanter is $200. Use this information to answer the following questions.
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- The economic analysis division of Mapco Enterprises has estimated the demand function for its line of weed trimmers as QD=18,000+0.4N350PM+90Ps where N=numberofnewhomescompletedintheprimarymarketarea PM=priceoftheMapcotrimmerPS=priceofitscompetitorsSurefiretrimmer In 2010, 15,000 new homes are expected to be completed in the primary market area. Mapco plans to charge $50 for its trimmer. The Surefire trimmer is expected to sell for $55. What sales are forecasted for 2010 under these conditions? If its competitor cuts the price of the Surefire trimmer to $50, what effect will this have on Mapcos sales? What effect would a 30 percent reduction in the number of new homes completed have on Mapcos sales (ignore the impact of the price cut of the Surefire trimmer)?James mainly sells confectionery items, newspapers, magazines and cigarettes in his convenience store. Noting his small business is not thriving, he thought of selling hot pies and rolls too. Suppose the total cost function for rolls and pies is, TC = 900 + 50Q, Q = Q1 + Q2 Where Q1 and Q2denote the quantities of rolls and pies respectfully. If P1 and P2 denote the corresponding prices, the inverse demand equations are. Q1 = 70 - P1 and 0.5Q2 = 100 - P2 a)If James decides to make a total of 48 rolls and pies per day and charges different prices as above (that is, P1 ≠ P2 ), how many of rolls and pies each should he make in order to maximize the profit of a particular day? Estimate and interpret the Lagrange Multiplier λ [note: assume second-order conditions are satisfied]. b)Using your knowledge of input-output tables, explain which components of the economy will be affected if all convenience stores, including James’, closed down for three months due to the COVID-19. What would…The company is considering lowering the price of Model A to $27 in an effort to increase the number of units sold. Based on the results of price changes that have been instituted in the past, Tennis Products’ chief economist estimates the arc price elasticity of demand to be –2.5. Furthermore, she estimates the arc cross elasticity of demand between Model A and Model B to be approximately 0.5 and between Model A and Model C to be approximately 0.2. Variable costs per unit are not expected to change over the anticipated changes in volume. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin of Model A. Based on this analysis, should the firm lower the price of Model A? Explain
- The company is considering lowering the price of Model A to $27 in an effort to increase the number of units sold. Based on the results of price changes that have been instituted in the past, Tennis Products’ chief economist estimates the arc price elasticity of demand to be –2.5. Furthermore, she estimates the arc cross elasticity of demand between Model A and Model B to be approximately 0.5 and between Model A and Model C to be approximately 0.2. Variable costs per unit are not expected to change over the anticipated changes in volume. a. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin of Model A. Based on this analysis, should the firm lower the price of Model A? Explain b. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin for the entire line of tennis rackets. c. Based on this analysis, should the firm lower the price of Model A? Explainhas established that the relationship between the price for one of its products is approximately. In addition there is a fixed cost of $45,000 per year and the variable cost to manufacture the product is $45 per unit. What level of demand maximizes the total revenue? Ans. is Blank 1. What level of demand maximizes the total profit for this product? Ans. is Blank 2. Blank 1_____________ Blank 2_____________denton productions limited utilizes statistical analysis to determine the optimal price for its sales to customera, during july 2020, the company was provided with the following demand and cost functions by a statistical research company, p=200-6Q, where p=price in dollars; and Q=quantitity of units in thousands TC=5Q2 + 24Q + 150, where TC is total costs in thousands of dollars a. determine the optimal output for july 2020 b. find the price that maximized profit
- You are the marketing manager of the Business Unit (BU) that produces polystyrene (which is an input to making lightweight rigid foam). The current Demand/Supply balance, as measured by the ICIS price, is $800 per ton of polystyrene. The BU has 2 plants and can produce a total of 1800 tons. At full capacity utilization, the BU’s average variable cost equals $1300/t and its average total cost equals $1700/t. Plant 1 has a capacity of 600 tons and a marginal cost of $900/t. Plant 2 has capacity of 1200 tons and a marginal cost of $1500/t. Due to exit of one competitor, you expect next year’s polystyrene ICIS price to increase to $1200. How much volume of polystyrene do you expect to produce next year, ifany? 2.What is your expected contribution margin for nextyear? 3. What is your expected profit for nextyear?You are the marketing manager of the Business Unit (BU) that produces polystyrene (which is an input to making lightweight rigid foam). The current Demand/Supply balance, as measured by the ICIS price, is $800 per ton of polystyrene. The BU has 2 plants and can produce a total of 1800 tons. At full capacity utilization, the BU’s average variable cost equals $1300/t and its average total cost equals $1700/t.Plant 1 has a capacity of 600 tons and a marginal cost of $900/t. Plant 2 has capacity of 1200 tons and a marginal cost of $1500/t. Due to exit of one competitor, you expect next year’s polystyrene ICIS price to increase to $1200. 1. How much volume of polystyrene do you expect to produce next year, if any? 2. What is your expected contribution margin for next year? 3. What is your expected profit for next year?You own a private parking lot near City University with a capacity of 600 cars. The demand for parking at this lot is estimated to be Q=1,000 - 2P, where Q is the number of customers with monthly parking passes and P is the monthly parking fee per car. Your fixed costs of operating the parking lot, such as the monthly lease paid to the landlord are £25,000 per month. In addition, your insurance company charges you £20 per car per month for liability coverage and the City of London charges you £30 per car per month as part of its policy to discourage the use of private cars in the city centre. What is your profit maximising price?
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