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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)?A company estimates that the relationship between. unit price and demand per month for a potential new product is approximated by p= $100.00-$0.10D. The company can produce the product by increasing fixed costs $17,500 per month, and the estimated variable cost is $40.00 per unit. What is the demand that maximizes revenue and the maximum revenue? What is the optimal demand, D*, and based on this demand, should the company produce the new product? Why? (Work out the complete solution by differential calculus, starting with the formula for profit or loss per month.)Your client, InsureCorp, is an insurance company considering launching an ‘income insurance’ product in the island nation of Autarka. Income insurance is a product that fully insures a household against changes in income caused by a major injury or illness. At present, no businesses are selling income insurance products in Autarka. Initial market research suggests that there are 10,000 households in Autarka interested in purchasing income insurance. Your client expects that the fixed cost of launching the income insurance product will be $20,000,000 per year, and that each policy issued to a customer will cost the company an additional $1,500 in sales commissions. What is the maximum price the company can charge a household for an income insurance policy? What is the expected profit (or loss) for the company if it becomes a monopoly provider of income insurance? Is there a risk that rival insurance companies will also enter the market, selling identical income insurance products? If…
- Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is −3.0. The marginal cost of producing the product is constant at $150, while average total cost at current production levels is $215. Determine your optimal per unit price if: Instructions: Enter your responses rounded to two decimal places.The production of store-brand medicine happens in a perfectly competitive market. For store-brand albuterol inhalers, the long-run average costs are constant at $57. Demand by retailers is given by: QD = 630 − 0.38P. In addition to those production costs, producers incur costs related to labeling their products to inform consumers that the product is comparable to name-brand inhalers. The labeling and related research costs is estimated to be equal to 1.8Q. Is there a market failure here, and if so, which one? Why or why not? What would be the quantity of inhalers produced if no labeling were required?The market demand for a monopoly firm is estimated to be: Qd= 100,000 − 500P + 2M + 5,000PR where Qd is quantity demanded, P is price, M is income, and PR is the price of a related good. The manager has forecasted the values of M and PR will be $50,000 and $20, respectively, in 2021. The average variable cost function is estimated to be AVC = 520 − 0.03Q + 0.000001Q2 Total fixed cost in 2021 is expected to be $4 million. The profit-maximizing price for 2021 is a. $260. b. $560. c. $520. d. $80. e. $100
- A consulting company estimated market demand and supply in a perfectly competitive industry and obtained the following results: Qd = 25,000 − 5,000P + 25M Qs = 240,000 + 5,000P − 2,000P1 where P is price, M is income, and P1 is the price of a key input. The forecasts for the next year are M̂ = $15,000 and P̂1 = $20. Average variable cost is estimated to be AVC = 14 − 0.008Q + 0.000002Q2 Total fixed cost will be $6,000 next year. Suppose that income next year is forecasted to be $10,000 instead. What will the firm’s profit (loss) be? rev: 12_18_2019_QC_CS-192688 Multiple Choice zero $2,500 −$3,550 −$2,860 −$6,000Rail Tours, Inc., sells packaged tours on rail lines, including gourmet meals and a reserved bed. The most popular tours are in the autumn, when foliage colors are at their peak. The overnight package for Saturday and Sunday morning are especially heavily booked. A market survey firm has just completed a study in which they conclude that if the package cost is $200 per couple, then Rail Tours can expect to sell 400 spaces on a typical Saturday. If the price is raised to $225, then unit sales will drop to 390. If the price is raised further to $250, unit sales drop to 380. a) From the data given, write down the demand equation and determine its intercepts. Are there any precautions needed when operating at the extreme ends of the demand curve?b) The survey firm also reports that if per capita income changes, Rail Tours can expect a large change in bookings. In particular, if per capita income falls by 1%, then bookings will tend to fall by about 2%. Are tour packages a normal good?…You are an analyst at a chipmaking company that is part of a supply chain that involves chipmaking and memory drive manufacturing. Each unit of product created by the supply chain generates $7 in perceived consumer value and has a cost of $2. Your company is the only one that can make chips and there are many undifferentiated memory drive manufacturers. You expect your profit per unit to be close to: $7 $5 $2 $0
- A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price = 150 − 0.01 × Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing) = $50,000 and the variable cost per unit = $40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 6,000 units per year.A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing)=$47,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is $? (Round to the nearest dollar.) The unit price at the point of optimal demand is $? per unit. The Craine Company manufactures three products, which require three resources – labour, materials, and administration. The unit profits on these products are $10, $6, and $4 respectively. There are 100 hr of labour, 600 lb of material, and 300 hr of administrations available per day. In order to determine the optimal product mix, the following LP model is formulated and solved: Maximize Z =10 x 1 +6 x 2 +4 x 3 Subject to x1+x2+x3 ≤100 labour 10x1+4x2+5x3 ≤600 material 2x1+2x2+6x3 ≤300 administration x1+x2+x3 ≥0 Where x1,x2, and x3are the daily production levels of products 1, 2, and 3 respectively. A computer output of the solution given below: Optimal Solution: x1 = 33.33, x2 = 66.67, x3 = 0 Optimal Value: Maximum profit = $733.33 Shadow Prices: For row 1 = $3.33, for row 2 = 0.67, for row 3 = 0 Opportunity Costs For x1 = 0, for x2 = 0, for x3 = 2.67 Ranges on Objective Function Coefficients Row…
