The government wants to enact tax legislation aimed at reducing increasing discharge levels of toxins into municipal waste water systems. The annual cost of the tax to the 100 worst industrial polluters will be $5 million each. The annual benefits of the tax, in terms of reduced toxin levels in water systems, are valued at $25 per person. There are 300 million people directly affected by the 100 worst industrial polluters. The total cost of this tax is while the total benefit to society is Group of answer choices $125 million; $7.5 trillion $125 million; $1.5 trillion $500 million; $7.5 trillion $500 million: $1.5 trillion
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- 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?Another oil refiner is offering to trade you 10,150 Bbls of Alaska North Slope (ANS) crude oil for 10,000 Bbls of West Texas Intermediate (WTI) crude oil. Assuming you currently have 10,000 Bbls of WTI crude, the added benefit (cost) to you if you take the trade is closest to: A) ($1,400) B) $1,400 C) ($3,908) D) $3,908Assume an electricity generator can produce electricity from two different production technologies, a dirty technology and a clean technology. The quantity of electricity produced from the dirty technology is Qd in megawatt hours (MWh) and the amount from the clean technology is Qc. The dirty technology produces carbon emissions at a constant rate of d tons per MWh of electricity generation. The clean technology produces carbon emissions at a constant rate of c tons per MWh, where Bc < Bd. The cost functions for the two generation technologies are C(Qd) and C(Qc). The market price of electricity is P. Under these assumptions, the firm’s profit function is: Profit = PQd + PQc - C(Qd) - C(Qc). 1.) Take the partial derivative of profit with respect to each output (Qd and Qc) and set each equal to zero to find the profit maximizing (“first-order”) conditions for each type of electricity. Denote marginal costs of each type of electricity as MCd and MCc. Write down and interpret…
- A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MUs, while for the international market it is 15 MUs.The company has the capacity to produce up to 10 tons of strawberries for sale and, according to SAG restrictions, it must dedicate at least 10% of its production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.a) Raise the NLP model that allows maximizing the net profit for the companyb) State the KKT conditions for the problem and indicate whether they are necessary and / or sufficient.c)…Problem 2: Assume that a company has the following data for one of its manufacturing cells:Theoretical velocity: 40 units per hourProductive minutes available (per year): 1,200,000Annual conversion costs: $4,800,000Actual velocity: 30 units per hourRequired:1. Calculate the actual conversion cost per unit using actual cycle time and the standardcost per minute.2. Calculate the ideal conversion cost per unit using theoretical cycle time and the standardcost per minute. What incentive exists for managers when cycle time costing is used?3. What if the actual velocity is 36 units per hour? What is the conversion cost perunit? What effect will this improvement have on delivery performance? Cheat Notes :Cycle time (time/units produced)velocity (units produced/time)DBM Industries produces exclusively an SP Juice in the market under the name DBM Sparkle . The firm’s manager must determine how many bottles to produce before he knows what the market price will be. Assume a competitive market situation. Forecast from the Department of Economics (DOE) revealed that, there is 30 percent chance that the market price will be P80 per liter and a 70 percent chance that it will be P40 per liter when the juice hits the market. If DBM’s cost function is C = 200 + .0005Q2, how much juice should DBM produce to maximize expected profit ? How much is the expected price?
- A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MU, while for the international market it is 15 MU.The company has the capacity to produce up to 10 tons of strawberries for sale and according to SAG restrictions, it must dedicate at least 10% of production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.d) There is the option of buying new machinery to increase the production capacity of the company. In what range should the new machine increase production capacity to suit the company? How…WorldTrans is considering a project that has an up-front cost at t = 0 of $2,700. (All dollars in this problem are in thousands.) The project's subsequent cash flows are critically dependent on whether a competitor's product is approved by the Food and Drug Administration. If the FDA rejects the competitive product, WorldTrans's product will have high sales and cash flows, but if the competitive product is approved, that will negatively impact WorldTrans. There is a 60% chance that the competitive product will be rejected, in which case WorldTrans's expected cash flows will be $750 at the end of each of the next seven years (t = 1 to 7). There is a 40% chance that the competitor's product will be approved, in which case the expected cash flows will be only $50 at the end of each of the next seven years (t = 1 to 7). WorldTrans will know for sure one year from today whether the competitor's product has been approved. WorldTrans is considering whether to make the investment today or to…Exotic Metals, Inc., a leading manufacturer of beryllium, which is used in many electronic products, estimates the following demand schedule for its product:PRICE ($/POUND) QUANTITY (POUNDS/PERIOD)$25 018 1,00016 2,00014 3,00012 4,00010 5,0008 6,0006 7,0004 8,0002 9,000Fixed costs of manufacturing beryllium are $14,000 per period. The firm’s variable cost schedule is as follows:OUTPUT (POUNDS/PERIOD) VARIABLE COST (PER POUND)0…
- A company has determined that the price and the monthly demand of one of its products are related by the equation D = √(400 − p), where p is the price per unit in dollars and D is the monthly demand. The associated fixed costs are $1,125/month, and the variable costs are $100/unit. Use this information to answer What is the optimal number of units that should be produced and sold each month? (a) 10 units (b) 15 units (c) 20 units (d) 25 units. Select the closest answer.During your first month as an employee at Engro. Industries (a large drill-bit manufacturer),you are asked to evaluate alternatives for producing a newly designed drill bit on a turningmachine. Your boss’ memorandum to you has practically no information about what thealternatives are and what criteria should be used. The same task was posed to a previousemployee who could not finish the analysis, but she has given you the following information:An old turning machine valued at $350,000 exists (in the warehouse) that can be modified forthe new drill bit. The in-house technicians have given an estimate of $40,000 to modify thismachine, and they assure you that they will have the machine ready before the projected startdate (although they have never done any modifications of this type). It is hoped that the oldturning machine will be able to meet production requirements at full capacity. An outsidecompany, Descon Engg. Inc., made the machine seven years ago and can easily do the…A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p = 78 – 0.11D units. The fixed cost is $800 per month and the variable cost $32 per unit produced. What number of units, D*,should be produced per month and sold to maximize the profit per month related to the product? Round your answer to 2 decimal places.