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 £10
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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
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- The inverse demand function for a depletable resource is P=8-0.4q and the marginal cost of supplying it is $2 If 20 units are to be allocated between two periods in a dynamic efficient allocation, how much would be allocated to the first period and how much to the second period when the discount rate is 5% and 10% (Hint Demand Function is the same in both periods) Given the discount rate, what would be the efficient price in the two periods? What would be the marginal user cost in each period? Assume a discount rate of 10% determine the efficient allocation amount between the two period Prepare a schedule of the discount rate and the efficient allocation for the two-period and graph the relationship. What can you say about the discount rate and the allocation between the two periods?The inverse demand function for a depletable resources is P=8-0.4q and the marginal cost of supplying it is $2 If 20 units are to be allocated between two periods in a dynamic efficient allocation, how much would be allocated to the first period and how much to the second period when the discount rate is 5% and 10% (Hint Demand Function is the same in both periods) Given the discount rate what would be the efficient price in the two periods? What would be the marginal user cost in each period? Assume a discount rate of 0% determine the efficient allocation amount between the two period Prepare a schedule of the discount rate and the efficient allocation for the two period and graph the relationship. What can you say about the discount rate and the allocation between the two periods?Two months ago, on July 1, 2019, the State of Illinois raised gasoline taxes by $.19 (19 cents) per gallon of gas suppose the new tax is imposed on Illinois gasoline stations. Draw a graph, showing the new cost curves reflecting the additional 19 cents per gallon tax in place. Be sure to indicate which curves depict the pre-tax scenario and which depict the post-tax scenario (for example, by drawing them pre-tax and post-tax curves in different color and using clear labels) (Both a graph and a narrative are needed for this question)
- 4. Find the cost function and the conditional demands for inputs associated to the CES production function f(r1, #2) = A(ar{ + (1 – a)a)/e, where A, 8 > 0, 0 < a < 1, and 0#p< 1.omly typed answer he cost of ingredients for a turkey sandwich at The Pit Room is $5, and the daily demand function for this sandwich is d(p) =1200 - 100p. What price should the seller charge to maximize its daily total contribution? Round your final answer to two decimal places.Dynamic efficiency refers to an allocation such that no further shuffling of extraction across periods will increase the sum of the present discounted values of the firm’s stream of future profits. If there are just two periods in the story, explain why the allocation of a scarce exhaustible resource that maximizes the present discounted value of profits across two periods will involve more extraction in the first period and less extraction in the second period, rather than an equal amount in both periods.
- The Nike accounting firm analyzes the price-demand relationship toconclude that x thousand shoes will sell if offered for a unit price (in dollars) of p(x) = 130−0.1x. Suppose further that the total cost of production was tracked to be $530,000 up until production of the first thousand shoes, and that this cost increased linearly to $560,000 by the time of production ofthe 2000th shoe. Find the following quantities, and interpret your results(describe what these quantities represent). a) Marginal revenue when x= 100 b) Average profit when x= 500. An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.1) Assume the production process can be represented by the following production function: Q=4K¹/²¹/2 We are operating in the short-run and thus K is fixed. We currently have use of 16 units of K. Note that the wage is $200 per worker, the rental rate of K is $150 per unit, and our output sells for $100 per unit. a) Write an expression for the MPL in the short-run:
- Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)dien There are two factors in a production function y = x 113 x₂¹1³. The market price of each unit ofy is p=3, and the factor prices are w₁=1 and W₂=2 for x₁ and X₂ respectively. variable (a). Calculate your cost function as a function of y if X, and x₂ are both barible factors. (b). Now derive the functions of average and marginal cost and plot them against quantity (C). Solve for your optional output of y. Calculate the ratio of two factors (X₁/X₂) (d). In the short run the fixed factor is set at X₂=1. What is the new optimal output level now?Suppose a tax is set at t’ in the figure. How many units of emissions are ABATED and is abatement achieved cost effectively? Suppose a regulation has just been implemented requiring that coal-fired power plants pay a tax of $80 on each unit of emissions (1 unit is 1 metric ton). Before the tax was imposed, a plant called Old River Power had an emissions level of 100 units. Given a marginal abatement cost function of 200 – 2E, under the tax policy what will Old River Power pay the regulator in emissions taxes?