Let H = G - G be the amount that gunk, G, is reduced from the competitive level, G. The benefit of reducing gunk is B(H) = AH*. The cost is C(H) = H® . If the benefit is increasing but at a diminishing rate as H increases, and the cost is rising at an increasing rate, what are the possible ranges of values for A, x, and B?
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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?Reactors `R’ Us operates a nuclear power plant in Potsdam.In the event of reactor failure, there would be major damages to the North Country. The company can reduce the probability of failure through proper maintenance of the facility. The marginal cost of maintenance is increasing in the amount of maintenance done (and thus decreasing in the probability of an accident). We can write this marginal cost curve as MAC=2-10p (where 0<p<1, and represents the probability of a failure over a 50 year period). The marginal expected damages are an increasing function of the probability of an accident so that MD=2.2+10p. Provide a graph or graphs to illustrate your analysis/answers to the following questions. A. What is the efficient probability of reactor failure? B. If “Reactors ‘R’ Us” thinks that, in the event of reactor failure, they will NOT be found liable for damages, what probability of failure will they choose? C. If “Reactors ‘R’ Us” thinks that, in the…A company has determine the price and the monthly demand of its products are related by the equation D= √400-p where p is the price per unit in dollar and D is the monthly demand. The associated fixed costs are $1,125 per month and the variable costs are $100/unit. Use this information to answer the following: What is the optimal number of units that should be produced and sold each month? Determine the value of D that represents the break-even point?
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- Solve by hand (no excel)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.What can you say about negative and positive gross margin in sensitivity analysis
- Product X is sold for $500 per unit. The total cost of production per year, including capital recovery and a return, is given by the expression TC = 0.04n3 − 700n + 50, 000 where n is the number of units sold. If TC represents the total of all fixed and variable costs, determine the following: a. The value of n that maximizes profit. b. The maximum profit for a year. c. The fixed cost per year.Given that the marginal cost of a ‘backstop’ (e.g. solar energy) is MCb per unit of an exhaustible resource, prove that the cost of the ‘backstop’ sets an upper limit on oil price and also determines the initial price of oil. (Hint:Utilize the expression pt = MC + (p0 − MC)(1 + r)t and consider T as theswitch date.). You wish to determine the dynamically efficient rate of extraction of a non-renewable resource of two time periods, t1and t2. The demand function for the resource is known to remain constant over time, and is given by the inverse demand function: Pt = 700 – 0.25*Xt Marginal extraction costs for the resource are constant at 200 (MEC = 200). All of your work (equations, calculations, etc.) must be shown. In addition, you must draw graphs to help you illustrate and explain your solution. You will receive full credit only if you fully explain and illustrate your answers. a) The total available stock, S, is 2500 units and the discount rate is r = 0.05 (5%). What are the dynamically efficient quantities of resource extraction in the two periods? Please call these extraction rates x1 and x2. Also, determine the market price for the resource in each period, P1 and P2. Next, determine the marginal user cost in each period. Finally estimate total welfare (CS and PS) for the…