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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- Suppose 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 legalA toy manufacturer makes miniature trucks. The pricep(in dollar) and the demandx(numberof miniature trucks) are related by the equation 6000−600p=x. The total cost for the sametoy manufacturer to producexminiature trucks can be modeled byC(x) = 8x+ 450.(a) (10 points) Express the pricepin terms of the demandx. Find the revenueR(x) if themanufacturer sellsxminiature trucks in a month and find the domain of this function.(b) (10 points) Graph the cost and revenue functions on the same coordinate system for 0≤x≤6000.(c) (10 points) What is the minimum number of trucks the toy manufacturer must sell tobreak even?(d) (10 points) FindP′(300) and interpret the result.(e) (10 points) What is the exact profit from the sale of the 301stminiature truck?Please answer fast I'll rate you sure
- Attempt all questions. Q1. a) A local Pepsi company has total costs of production given by the equation TC-500+10q+Sq2. This implies that the firm's marginal cost is given by the equation MC 10+10q. The market demand for cold drink is given by the equation QD-105 (1/2)*P. Write the equations showing the company's average total cost and average variable cost and average fixed cost, each as a function of q. Show the firm's MC, ATC and AVC on one graph. What is the breakeven price and breakeven quantity for this firm in the short run? What is the shutdown price and shutdown quantity for this firm in the short run? If the market price of the output is $50, how many units will this firm produce? iv) Assuming the cold drink industry is perfectly competitive, what output would be produced by the firm in long-run equilibrium? What would be the long-run equilibrium price? i) ii)Given the following profit function: T=-2Q^2+260Q-4500, Answer the following questions.Suppose you are a perfectly competitive firm producing computer memory chips. Your production capacityis 1000 units per year. Your marginal cost is $10 per chip up to capacity. You have a fixed cost of $10,000 ifproduction is positive and $0 if you shut down. What are your profit-maximizing levels of production andprofit if the market price is ( a ) $5 per chip, ( b ) $15 per chip, and ( c ) $25 per chip? For case ( b ), explainwhy production is positive even though profits are negative?
- Px b 0 a (A) S=MC Multiple Choice O O D P d e f Qx 0 gh (B) MR Refer to the diagrams. With the industry structures represented by diagram MC D Qx (B), there will be allocative efficiency. (B), output will be less than in diagram (A). (A), economic profit can persist in the long run. (B), output will be the same as in diagram (A).can you please provide teh full solution without any AI, can you show the mathematical working out and explanationCOURSE: 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 equilibrium