At the profit-maximizing output level y*, where P(y) = 4a - 3by and c(y) = 10 + xy + By³ then the profit-maximizing output level is; y* = Select one: O True O False 4a-a 3(b+B)
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- 1. ThedemandfunctionforagoodisgivenbytheequationP=a−bQwhilethetotalcost function is TC = dQ2 + eQ + f, where a, b, d, e and f are positive constants. (a) Derive the equation for profit.(b) Derive an expression for the value of Q for which profit is maximised.Cost Per Year Q₁ O Q₂ QQQQ O Q4 TC VC At what level of output does average total cost equal marginal cost? FC OutputBased on the demand and supply functions figure below for a production environment, if the fixed cost decreases by $10,000 while all the other variables remain the same, the quantity of production required to maximize the total profit OA. will increase OB. cannot be determined fom this figure OC. will remain the same OD. will decrease $30,000 $25,000 $20,000 $15,000 $10,000 $5,000 50 0 200 S 400 600 Supply function 800 Demand function 1,000 Quantity 1,200
- COST PER UNIT LRATC OTX Y Z OUTPUT According to the diagram above, output OY represents the firm's: Select one: O a. market potential O b. break-even point O c. minimum physical product O d. technical optimum plant sizeSuppose a production technology (A) is dominated by another production technology (B). Which of the statements below is correct? Only one is correct. O O O A company can still benefit from choosing technology A. It depends on the input factor prices Technology B is a flashy technology. Impressive, but not necessarily more profitable to choose than A. The company incurs unnecessarily high costs by choosing technology A over B. Technology A violates Norwegian law, while B is legalGater Tools, a profit-maximizing firm, has a patent on a power tool, making it the only producer of that power tool. Thegraph above shows GaterTools' demand, marginal revenue, average total cost, average variable cost, and marginal costcurves.(a) Calculate GaterTools' total revenue if the firm produces the allocatively efficient quantity. Show your work.(b) Starting at a price of $12, if GaterTools were to increase the price by 4%, will the quantity demanded decrease bymore than 4%, less than 4%, or exactly 4%? Explain.(c) At a quantity of 10 units, is GaterTools' marginal product increasing, decreasing, or constant? Explain. (f) Does GaterTools have a dominant strategy? Explain using numbers from the payoff matrix.(g) Identify the Nash equilibrium. Explain why this is a Nash equilibrium using information from the payoff matrix.(h) Suppose HandyBilt makes a credible commitment to GaterTools that if GaterTools maintains its price, then HandyBiltwill pay GaterTools $250. Will this offer…
- Question 3 to the cost of producing the (x + 1)st item? a Can you think of a cost function, so that the marginal cost at any r is exactly equal If yes, describe as many such functions as possible. If not, show why such a function cannot exist. Type here to search 7:00 PM ENG 4/27/2021 Esc Lock F1 F2 F6 F3 F4 F5 F7 Home End Delete F8 F9 F10 F11 F12 Insert %23 $4 & * 7. 4 5 6 Backspace 80 W E R T Y U S D F G H J K L B N M Alt Alt PrtSc Ctrl PgUpBreak-Even The total revenue function for Frenchdoor refrigerators is given by R = 550x dollars, andthe total cost function for this same product is givenby C = 10,000 + 30x + x2, where C is measured indollars. For both functions, the input x is the numberof refrigerators produced and sold.a. Form the profit function for the refrigerators fromthe two given functions. b. What is the profit when 18 refrigerators areproduced and sold?c. What is the profit when 32 refrigerators areproduced and sold?d. How many refrigerators must be sold to breakeven on this product?Output TFC TVC TC MC ATC A 25 25 В 1 25 25 50 25 50 C 2 25 40 65 32.5 3 25 70 95 E 25 110 33.75 F 5 25 160 50 What is the marginal cost of the 4th unit of output? 40 25 50 Cannot be determined.
- COURSE: MICROECONOMICS - Cournot Model:In the market for a given good there are only 2 firms satisfying the demand, and their respective total cost functions respond to the form: CTi = 10Qi + 5 and the demand is estimated to be: P = 31 - QIf the decision variable for both firms is that the quantity they will produce and realize will be decided simultaneously it is asked to:(a) calculate the profit and reaction function of each firmb) graph market equilibriumc) calculate the profits that both companies will obtain in equilibriumRefer to the information provided in Figure below to answer the question that follow. SA MC ATC 24 P = MR %3D 2 20 18 4 100 350 500 700 Bales of hay Refer to Figure If this farmer is producing the profit-maximizing level ofoutput, her profit is Select one: a. $2,000. b. $0. c. $1,000. d. $3,000.Maximize profit 4D + 3WWith constraintsTime 3D + 2W ≤ 150Cost 2D + 4W ≤ 220D, W ≥ 0 We saw the best point was (20, 45) with profit 215. Use this problem and the notes to answer the following (except part 4):1 write true or false and then explain either response to this – the range of optimality on the D variable refers to how much the value 20 in the best point can go down or go up and this point is still the best,2 write true or false and the explain either response to this – the range of feasibility of the time constraint refers to the value 150 and how much if can change and the best point is still (20, 45),3 write true or false and explain either response to this – the shadow price of .125 on the cost constraint means that if the right hand side of the constraint (the 220) is anywhere between 100 and 300 then each 1 unit increase in this RHS (say from 100 to 101) will increase profit by 12.5 cents and any 1 unit decrease in this RHS will decrease profit 12.5 cents,4 write true or…