Suppose the market operates under perfect competition without the innova- tion. (i) Write down the profit maximization problem of firm i under perfect competition without the innovation. What will be the market price and the quantity produced in the market? What are the profits of firm i? (ii) Suppose firm i adopts the innovation and afterwards has a monopoly for using the new technology due to the patent. What price and quantity will this firm set? What will be her profits? Is this a drastic or a non-drastic innovation? (b) [

Suppose the market operates under perfect competition without the innova- tion. (i) Write down the profit maximization problem of firm i under perfect competition without the innovation. What will be the market price and the quantity produced in the market? What are the profits of firm i? (ii) Suppose firm i adopts the innovation and afterwards has a monopoly for using the new technology due to the patent. What price and quantity will this firm set? What will be her profits? Is this a drastic or a non-drastic innovation? (b) [

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Focusing only on transportation costs, if a firm pays both the costs of transporting inputs to its plant and the finished product to its customers, the profit maximizing plant location A. minimizes the sum of the two transportation costs. B. can be anywhere between the location of the inputs and of the customers because the firm pays both sets of transportation costs. C. must always be closer to the location of the inputs because transporting inputs is always more expensive than transporting finished products. D. None of the above answers are correct.
. 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.
Average and marginal profit Let C(x) represent the cost ofproducing x items and p(x) be the sale price per item if x items aresold. The profit P(x) of selling x items is P(x) = xp(x) - C(x)(revenue minus costs). The average profit per item when x items aresold is P(x)/x and the marginal profit is dP/dx. The marginal profitapproximates the profit obtained by selling one more item, given that x items have already been sold. Consider the following cost functions Cand price functions p.a. Find the profit function P.b. Find the average profit function and the marginal profit function.c. Find the average profit and the marginal profit if x = a units are sold.d. Interpret the meaning of the values obtained in part (c). C(x) = -0.02x2 + 50x + 100, p(x) = 100 - 0.1x, a = 500
Beta Industries manufactures floppy disks that consumers perceive as identical to those produced by numerous other manufacturers. Recently, Beta hired an econometrician to estimate its cost function for producing boxes of one dozen floppy disks. The estimated cost function is C = 20 + 2Q^2. a. What are the firm's fixed costs? b. What is the firm's marginal cost? Now suppose other firms in the market sell the product at a price of $10 c. How much should this firm charge for the product? d. What is the optimal level of output to maximize profits? e. How much profit will be earned? f. In the long run, should this firm continue to operate or shut down? Why? *Please show all work*
Your firm's research department has estimated your total revenues to be R left parenthesis Q right parenthesis equals 30 comma 000 Q minus 80 Q squared and your total costs to be C left parenthesis Q right parenthesis equals 1 comma 000 plus 20 Q squared. What level of Q maximizes net benefits?
Consider an imperfectly competitive service provider, Muscat Automotive Repair Services (MARS), whose total cost of production is C = 30Q +0. 165Q2. Also, MARS faces two different market segments, A and B, whose demands can be linearly expressed as QA = 240 − PA and QB = 120 − 0.5PB . (Hint: the marginal cost is the slope of the total cost function). 4. If MARS decides to segment the market in accordance with the demands of groups A and B, find the profit-maximizing prices and quantities (PA, QA) and (PB, QB).5. What is the value of the consumer surplus for each group A and B, under this segmentation strategy?6. Draw the situation described in (4) and (5) above, clearly showing each group’s profitmaximizing price and quantity, and the areas that correspond to their consumer surpluses.7. Verify the inverse elasticity rule under each of the scenarios described (1) and (4) above.
Suppose a company has fixed costs of $1500 and variable costs of (3/4)x + 1120 dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is 1200 − (1/4)x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.)x = (b) Find the maximum revenue. (Round your answer to the nearest cent)$ (c) Form the profit function, P(x), from the cost and revenue functions.P(x) = Find maximum profit. (Round your answer to the nearest cent.)$ (d) What price will maximize the profit? (Round your answer to the nearest cent.)
2. The supply Qs = s(P, Pm) has the functional form of: Qs = -12 + 0.5P - 2Pm initially, the materials cost Pm_0 = 7. Find the optimal quantity to supply if the price is P=76 and P=80. At P=76, Q_0 = . At P=80, Q_0 = . 3. Now, the cost of materials changes to Pm_1 = 9. Find the optimal quantity to supply if the price is P=76 and P=80. At P=76, Q_1 = At P=80, Q_1 = Draw the second supply curve and show how supply shifted.
I need help. If you can explain the process and not just give the solution, I would appreciate it, because I'll learn better. A coal-fired power plant produces electricity for a town with a population of 1000. The retail price of electricity is sustained at $50.00, but every unit of electricity emission may cause damage and increased mortality risk of this amount $0.01 for every member of the town next to the plant. With a marginal cost curve MC=q and q is considered the output, what is the marginal damage of every or each unit of emission? What is the optimal quantity output for society? Is there a deadweight loss? When the electric plant decides to maximize profit and chooses q (in the cost curve), what would be the outcome?
Suppose the situation changes. JointJuice has its plant in Portland Oregon. The local government passes a new tax on businesses that raises JointJuice’s fixed cost by $25 per period. The cost function now becomes: C(q) = 300 + 6q + 0.1q^2 All the other firms in the market are in other states/cities that are not subject to the laws or taxes of Portland. Calculate JointJuice’s optimal output level and profits if the market price for the product stays the same as for part a. What will the firm do in the long run? Is it reasonable to assume the market price prevailing today will remain the same in the long run? If so why? If not, why not? How about the number of firms in the market?
Suppose that the fish processor could use a different production method that involves recycling water. This would reduce the pollution in the lake to levels safe for recreation, and the boat tour would no longer be affected. If the fish processor uses the recycling method, then the fish processor's economic profit is $1,300 per week, and the boat tour's economic profit is $1,900 per week. If the fish processor does not use the recycling method, then the fish processor's economic profit is $1,600 per week, and the boat tour's economic profit is $1,100 per week. These figures are summarized in the following table. Complete the following table by computing the total profit (the fish processor's economic profit and the boat tour's economic profit combined) with and without recycling. Action Profit Fish Processor Boat Tour Total (Dollars) (Dollars) (Dollars) No Recycling 1,600 1,100 Recycling 1,300 1,900 Total economic profit is highest…
*** Please answer e, f, g,h** An ice cream company finds that at a price of $4.00 for each pint, they can sell 4000 pints of ice cream per day. For every $0.25 decrease in price, daily demand increases by 200 units. The company’s cost function is C(q)=0.01q2-90q+211600, where C represents their daily costs (in dollars), and q is the number of pints sold per day. a)Find the demand function q(p). b) Find the revenue function R(q). Hint: first you will need to solve for p in terms of q from the demand function.) c) How many pints should the company sell per day if they want to maximize their revenue? d) what price should the company charge for each pint if they want to maximize their revenue? e)Use the criteria MC(q)=MR(q) to determine how many pints the company should sell per day if they want to maximize their profit. f)What is the maximum profit the company can earn per day? g)Find the average cost function. h)How many pints should the company sell per day if they want to minimize…