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- 18. Assuming England has 60 man-hours (mhrs) of labor resource available for production, and labor is the only resource, the per unit resource cost of wine in England is ____ mhrs/bottle. (Ple(a) Show that the production function Q = (Kα + Lα)β, where Q is output, K is capital input, L islabour input and α > 0 and β > 0 exhibits diminishing returns when α < 1 and increasing returns to scale when αβ > 1.(b) Specify a translog cost function for two inputs and show that the input shares depend on inputprices.0. Radioco manufactures two types of radios. The only scarce resource that is needed toproduce radios is labor. At present, the company has two laborers. Laborer 1 is willing towork up to 40 hours per week and is paid $5 per hour. Laborer 2 will work up to 50 hoursper week for $6 per hour. The price as well as the resources required to build each type ofradio are given in the Table. Letting xi be the number of Type i radios produced each week,Radioco should solve the following LP:a) For what values of the price of a Type 1 radio would the current basis remain optimal?b) For what values of the price of a Type 2 radio would the current basis remain optimal?
- 4. A bottling company uses two inputs to produce bottles soft drink sludge: bottling machines (K) and workers(L). The machine costs $1000 per day (r) to run and the workers are paid $200 per day (w). At the current level of production, the marginal product of the machine is an additional 200 bottles per day (MPK), and the marginal product of labor is 50 bottles per day (MPL). a. State the rule for determining the cos- efficient combinations of inputs (K & L) for the production of soft drinks. b. Given r=$1000 per day, w=$200 per day, (MPK)= 200 bottles, and (MPL)= 50 bottles, is the company operating cost-efficiently? c. What must the company do to move toward cost-efficient operation? Hint: use more labor or more machines and why?Consider a corn farmer with one acre of land. In addition to land, other factors include quantity of seeds, fertilizer, water, and labor. Assume the farmer has already decided how much seed, water, and labor he will be using this season. He is still deciding on how much fertilizer to use. Units of Fertilizer Total Ears of Corn Marginal ears of Corn 1 100 2 250 3 425 4 550 5 600 6 525 (a) Determine the marginal ears of corn and complete the table. (b) At what point does diminishing returns set in for the farmer? Justify your response. (a) Catherine buys and sells real estate. Two weeks ago, she paid $300,000 for a house on Pine Street, intending to spend $50,000 on repairs and then sell the house for $400,000. Last week, the city government announced a plan to build a new landfill on Pine Street just down the street from the house Catherine purchased. As a result of the city’s announced plan, Catherine is weighing two alternatives: She can go…Al's production function for deer is f(x1,x2) = (2x1 + x2)^1/2, where x1 is the amount of plastic and x2 is the amount of wood used. If the cost of plastic is $4 per unit and the cost of wood is $3 per unit, then the cost of producing 5 deer is a) $55 b) $10 c) $50 d) $75
- Suppose the inverse demand function for a depletable resource is linear, P = 25 – 0.4q, and the marginal supply cost is constant at £5.i. If 40 units are to be allocated between two periods in a dynamic efficient allocation, how much would be allocated to period 1 and how much to period 2 when the discount rate is r = 0.15? Show your working ii. What is the marginal user cost in each period? Provide a one-sentence economic interpretation iii. Show in a diagram how the marginal user cost would change if an energy price shock were to raise the marginal cost in period 2 to £1015. PLEASE ONLY C A firm can use three different production technologies, withcapital and labor requirements at each level of output as follows:TECHNOLOGY 1 TECHNOLOGY 2 TECHNOLOGY 3DailyOutputK L K L K L100 3 7 4 5 5 4150 3 10 4 7 5 5200 4 11 5 8 6 6250 5 13 6 10 7 8a. Suppose the firm is operating in a high-wage country, wherecapital cost is $100 per unit per day and labor cost is $80 perworker per day. For each level of output, which technologyis cheapest?b. Now suppose the firm is operating in a low-wage country,where capital cost is $100 per unit per day but labor cost isonly $40 per unit per day. For each level of output, whichtechnology is cheapest?c. Suppose the firm moves from a high-wage to a low-wagecountry but its level of output remains constant at 200 unitsper day. How will its total employment change?15. PLEASE ONLY C. A firm can use three different production technologies, withcapital and labor requirements at each level of output as follows:TECHNOLOGY 1 TECHNOLOGY 2 TECHNOLOGY 3DailyOutputK L K L K L100 3 7 4 5 5 4150 3 10 4 7 5 5200 4 11 5 8 6 6250 5 13 6 10 7 8a. Suppose the firm is operating in a high-wage country, wherecapital cost is $100 per unit per day and labor cost is $80 perworker per day. For each level of output, which technologyis cheapest?b. Now suppose the firm is operating in a low-wage country,where capital cost is $100 per unit per day but labor cost isonly $40 per unit per day. For each level of output, whichtechnology is cheapest?c. Suppose the firm moves from a high-wage to a low-wagecountry but its level of output remains constant at 200 units
- Table 3-7Assume that the farmer and the rancher can switch between producing meat and producing potatoes at a constant rate. Labor Hours Needed to Make 1 Pound of Pounds Produced in 24 Hours Meat Potatoes Meat Potatoes Farmer 6 4 4 6 Rancher 3 8 8 3 Refer to Table 3-7. Assume that the farmer and the rancher each has 24 labor hours available. If each person divides his time equally between the production of meat and potatoes, then total production is Group of answer choices 6 pounds of meat and 4.5 pounds of potatoes. 5.5 pounds of meat and 8 pounds of potatoes. 12 pounds of meat and 9 pounds of potatoes. 5 pounds of meat and 5.5 pounds of potatoes.Foster, Inc. makes a new type of rubber gloves for assembly-line workers and will sell them to companies that manufacture electronics products. Foster’s costs for producing a pair of these new rubber gloves is $4.15. Electronics manufacturers pay $6.25 per pair for the currently available rubber gloves for their assembly-line workers. Because Foster’s new rubber gloves allow a better grip, they will enable the workers at the electronics manufacturing companies to assemble 2 percent more products per hour than if they wear the currently available gloves. Assume that each pair of workers’ gloves lasts for 40 hours, and the average pay rate for these workers is $20 per hour. The Foster company would like to estimate the value of a pair of these new rubber gloves to the electronics-manufacturer customer. For R.S. Foster, what is the price floor for a pair of these new rubber gloves? What is the price ceiling? If Foster uses a penetration strategy to price a pair of these new…Foster, Inc. makes a new type of rubber gloves for assembly-line workers and will sell them to companies that manufacture electronics products. Foster’s costs for producing a pair of these new rubber gloves is $4.15. Electronics manufacturers pay $6.25 per pair for the currently available rubber gloves for their assembly-line workers. Because Foster’s new rubber gloves allow a better grip, they will enable the workers at the electronics manufacturing companies to assemble 2 percent more products per hour than if they wear the currently available gloves. Assume that each pair of workers’ gloves lasts for 40 hours, and the average pay rate for these workers is $20 per hour. The Foster company would like to estimate the value of a pair of these new rubber gloves to the electronics-manufacturer customer. What is the reference value of a pair of Foster’s new rubber gloves? Calculate the differentiation value(s) of a pair of Foster’s new rubber gloves. Calculate the electronics…