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Marginal cost is given by the function :-
2Q2 - 130
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- 2.4 Water is produced and sold by the government. Demand for water is represented by the linear function Q=50-2P. The total cost function for water production is also a linear function: TC(Q)= 100+ 100. You will also need to work out both the average cost of production, denoted by AC(Q), equal to the total cost of producing a quantity of output divided by that quantity of output, TC(Q)/Q, and the marginal cost of production, denoted by MC(Q), which is the additional cost incurred to produce one more unit. a. What fee should the government charge per unit of water in order to reach the efficient allocation? b. How much should it charge if it wishes to maximize profit from the sale of water? C. What is the value of the efficiency loss that results from charging the price in part b rather than the price determined in part a?Following the given equations of costs and supposed price, find the equilibrium costs and equilibrium quantities TC=20Q2 p=700-5QA manufacturer of upholstery can sell 2121 yards of fabric at a price of $3.11$3.11 per yard. If the price is $1.85$1.85, she can sell 3535 yards. The total cost of manufacturing x yards of fabric is C(x)=0.6x+36C(x)=0.6x+36 dollars. Step 1 of 3 : Assuming the demand function is linear, find an equation for D(x)D(x). Do not round your answer.
- The cost per unit of producing a product is 280 + 0.2x dollars, where x represents the number of units produced per week. If the equilibrium price determined by a competitive market is $420, how many units should the firm produce and sell each week to maximize its profit? unitsFollowing the given equations of costs and its supposed price, find the equilibrium costs and equilibrium quantities TC = 300Q2 +10Q+120, P = 401.The price p in dollars of a certain commodity and the quantity x sold obey the demand equation p= -1/5x + 200 where 0<=x <=1000. Suppose that the cost C in dollars of producing x units is C= the square root of x divided by 10 + 400. Assuming that all items produced are sold, find the cost of c as a function of the price p.
- A movie theater has been charging $ 10.00 per person and selling about500 tickets on Saturday and Sunday nights. After surveyingtheir customers, theater owners estimate that for every 50 cents theylower the price, the number of attendees will increase by 50 per night.Find the demand function and calculate the consumption surplus whentickets are sold for $ 8.00.. 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.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?
- If the demand function for a company is given by the equation p= -(16+4)q+(16+16000), and the supply is given by the equation q=(16+550)-p. Find the equilibrium point.The price-demand equation for the production of bluetooth speakers is: p = 250 - 1/20x, for 0 is less than or equal to x and x is less than or equal to 5000 where x speakers can be sold at $p per each speaker. The cost to produce x speakers is given as C(x) = 150,000 + 30x, where both C(x) and p are represented in dollars ($). - find the profit function and the marginal profit and interpret the quantity P'(4500) - find the marginal cost and interpret the quantity C'(3000) - find the revenue function and the marginal revenue and interpret the quantity R'(3000)K Given the input-output matrix below, find the output matrix if final demand changes to 400 for water, 180 for electric power, and 700 for agriculture. Industry: Water Electric Power Agriculture Other Water 120 120 240 720 The output matrix is X = (Round to two decimal places as needed.) Industry Electric Power 400 200 100 300 8 Agriculture Final Demand 180 240 120 60 260 170 500