part a Draw consumption and marginal cost time paths for a depletable resource with a stabledemand and constant MC (this is the first model we drew in class) for each of the belowdescriptions. Illustrate how what is described differs from the optimal paths for the depletable,utilizing the same graph. (So, you'll have two lines on each time path model: one for thereference depletable, and one for what is described). This is an exercise called "comparativestatics".Society expects a reasonable renewable perfect substitute withconstant MC to become available in the future, where Choke Price >MCrenewable > MCdepletable·i. Show change in time pathsа.ii. Do we still exhaust the resource?b.Consider TWO depletables, but one with a higher marginal costs. Forexample, Choke Price > MCoil > M Cnatural gas:i. Show change in time paths.ii. Do we still exhaust the resource?iii. Google: Is natural gas cleaner or dirtier to burn than oil? (cite sources APAor Chicago style)Explain why increasing marginal extraction costs are necessary toproduce a switch to a cleaner substitute before exhausting the depletable.С.

In environmental economics, the constant cost and increasing marginal cost depletable resource…

Answered: Draw consumption and marginal cost time…

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter2: Mathematics For Microeconomics

Section: Chapter Questions

Problem 2.6P

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Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)
Suppose the relationship between your study time and your grade on a History midterm is given by the following table: If you study for Your grade will be 4 hours 80 5 hours 90 6 hours 93 a) What is the "marginal grade improvement (MGI)" of the 5th hour of studying? b) What is the "marginal grade improvement (MGI)" of the 6th hour of studying? c) Why might the MGI be diminishing?
Please give me correct answer with full explanation and calculation otherwise i give multiple downvote Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.
Suppose that a furniture manufacturer produces tables. The manufacturer's production function is Q(KL)- 2K0.8 0.2 where Kis the number of wood saws and L is the number of labor hours used to produce tables. The prevailing wage rate is $10 per hour and the rental rate associated with wood saws is $50. The manufacturer has a goal to produce 1,000 units. What Lagrangian equation can be used to solve the manufacturer's cost minimization problem? Oa. C = 2K12 s.t. 1,000 = 50K + 10L b. = Oc L = Od. L = 10K + 50L s. t. 1,000 = 2K08102 50K + 10L s.t. 1,000= 2KL02 2K10 s. t. 1,000= 10K + 50L
The chemical X-2000 is produced using two inputs, benzene (B) and labor (L) in the exact proportions of one gallon of benzene for each two hours of labor services. Firms in the industry have the production function: qX = min[B, 0.5L] The production of X-2000 generates fumes that greatly increase the chance of cancer among workers. The workers would suffer no ill health effects if they were provided with masks containing a filtering system. The masks increase the hourly cost of labor by another $2. Suppose that in response to this health hazard, the government enacts a regulation that requires the firm to provide each worker with a mask. f) Do you think the new regulation will affect the firm’s choice of input levels (i.e. the firm’s cheapest technique) for a given level of output? g) How will the new regulation affect the firm’s total and marginal cost functions?
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Consider the following linear program: Maximize 30X + 10Y Subject to: 3X + Y ≤ 300 X + Y ≤ 200 X ≤ 100 Y ≥ 50 X,Y ≥ 0 (a) Solve the problem graphically. Is there more than one optimal solution? Explain. (b) Are there any redundant constraints?
Let C(T) be a function that models the dependence of the cost (C) in thousands of dollars on the amount of ore to extract from a copper mine measured in tons (T): 1) If you computed the average rate of change of cost with respect to tons for production levels between T = 20000 and T = 40000, give the units of your answer (no calculations - describe the units of the rate of change). 2) If you had a function for C(T) and were able to calculate the answer to part 1, explain why you would not expect your answer to be negative (explanation should be in terms of cost, tons of ore to extract, and rates of change).
C&A Fast Food has four activities in serving a customer: greet customer, take order, process order, and deliver order. Each activity is staffed by one employee (for a total of four employees). The processing time for each activity is given as follows: Greet customer Take order Process order Deliver order Activity Processing time per customer 2 seconds 30 seconds 60 seconds 5 seconds Assume demand is unlimited. If one additional employee is added to the bottleneck activity, what will be the percentage change in process capacity?
The cost of controlling carbon dioxide emissions [C(E)] at a firm goes up rapidly as the amount of emissions (E) increase. Let's assume the relationship is defined by the function below. C(E)= 5000+ 40E +2E² E20 where E is measured in tonnes per year and C is measured in dollars per year. a) Determine the Marginal Cost function for controlling carbon dioxide emissions and find the marginal cost at 50 tonnes of emissions: b) Determine the Average Cost Function for controlling carbon dioxide emissions and find the tonnes of emissions at minimum average cost. c) The government is charging a tax of $270 for every tonne of carbon dioxide emitted. At, 50 tonnes of emissions, is it profitable for the firm to control emissions on its own or pay the carbon tax?
The O'Neill Shoe Manufacturing Company will produce a special-style shoe if the order size is large enough to provide a reasonable profit. For each special-style order, the company incurs a fixed cost of $2,625 for the production setup. The variable cost is $55 per pair, and each pair sells for $80. (a) Let x indicate the number of pairs of shoes produced. Develop a mathematical model for the total cost (C) of producing x pairs of shoes. C = (b) Let P indicate the total profit. Develop a mathematical model for the total profit realized from an order for x pairs of shoes. P = (c) How large must the shoe order be before O'Neill will break even? x =
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