If the short-run marginal and average variable cost curves for a competitive firm are given by SMC = 2 + 4Q and AVC=2+3Q, how many units of output will it produce at a market price of 34? Instructions: Round your answers to the nearest whole number. Q= At what level of fixed cost will this firm earn zero economic profit? $
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- Suppose that each firm in a competitive industry has the following costs: Total cost: TC = 50 + 0.5Q^2The market demand curve for this product is: Qd= 120 −PThere are 9 firms in the market.a) What are each firm’s: fixed cost, variable cost, marginal cost, and average total cost? Graph the average-total-cost curve and the marginal-cost curve.b) Give the equation for each firm’s supply curve.the average-total-cost curve at its minimum? What is marginal cost and average totalc) Give the equation for the market supply curve for the short run in which the numbercost at that quantity?A perfectly competitive firm sells its product at a price of$0.10 per unit. Its total and marginal cost functions are: TC= 5 - 0.SQ + 0.001Q2 MC= -0.5 + 0.002Q, where TC is total cost($) and Q is output rate (units per time period). Solve for the profit maximizing quantity for this firm. My Question: in order to determine just profit maximizing quanitity, do we make MR=MC so the equation would be 0.10 = -0.5 + 0.002Q. Solve for Q then plug that number into the Q in the total cost equation to get the profit maximizing quantity?Suppose that the long-run cost function for a perfectly competitive firm in the personal computer business is C(q) = 4g + 2500 for q> 0. How many units does this firm produce in the long-run? What will be the price in the long-run? What is the profit of the firm in the long-run? The firm produces type your answer..... units of output. The price is $ type your answer.... in the long-run. The firm's profit is $ type your answer.... the long-run. in
- ***What would this look like in EXCEL, Graph and Table*** The cost function for Acme Laundry is: TC(q)=10+10q+q^2 so its marginal cost function is: MC(q)=10+2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?Problem 2.5 The cost function for Acme Laundry is TC(q) = 10 + 10q + q^2 so its marginalprod cost function is MC(q) = 10 + 2q where q is tons of laundry cleaned. Derive the firm's average cost and average variable cost curves. What q should the firm choose so as to maximize its profit if the market price is p? How much does it produce if the competitive market price is p = 50?Assume that a firm in a competitive market faces the following cost information. If the market price for this firm's product is $40, calculate the profit maximizing level of output for this firm using marginal analysis. It may help to create your own cost table and fill in columns for Marginal Cost and Average Total Cost based on the Total Cost information below. a.What is the level of profit for this firm at the profit maximizing output? b.To convince yourself that the quantity you found is indeed the profit maximizing quantity, try calculating what the profit would be at the next higher level of output. What did you find? c. What do you predict will happen in this market over the long run?
- a) Suppose in the short-run, the amount of machines she has is fixed at 27. How many mixers should she use? How many baklavas will she produce? How much profit will she make? Using an isoprofit line, as well as the production function, draw a diagram of your solution and label all the intercept and slopes b) In the long-run, how many mixers should she use? How many machines? How many baklavas will she make? c) Suppose that the government decides to provide a $1 subsidy per mixer. What is the profit-maximizing amount of each input to use now?Consider the market for ice cream. Suppose that this market is perfectly competitive. The cost structure of the typical ice cream producer is as follows. Average total cost is equal to 50 1 1 ATC(Q) +÷Q, average variable cost is equal to AVC(Q) =;Q, and marginal cost is equal to 2 MC(Q) = Q. Now, suppose that a new scientific study comes out that shows that soil pollution from rock salt (a key input for making ice cream) is extremely hazardous to human health. In response, the government decides to impose harsh re-zoning restrictions on any land once used for making ice cream. This reduces the market rent for land used to make ice cream, which in turn lowers the opportunity cost of operating an ice cream factory. This reduction in the opportunity cost of capital causes the total fixed cost of ice cream production to fall to 32, but there is no change to variable cost. Give formulas for the typical ice cream producer's new average total cost curve ATC(Q) and marginal cost curve MC(Q).Assume that a competitive firm has the total cost function: TC=1q3−40q2+880q+2000 T C = 1 q 3 - 40 q 2 + 880 q + 2000 Suppose the price of the firm's output (sold in integer units) is $550 per unit. Create tables (but do not use calculus) with columns representing cost, revenue, and profit to find a solution. How many units should the firm produce to maximize profit? Please specify your answer as an integer. What is the total profit at the optimal output level? Please specify your answer as an integer.
- Suppose that each firm in a competitive pizza market has the following identical cost: Total cost: TC=25+1.5Q2 i. Formulate the equation or level of fixed cost, variable cost, marginal cost, average variable cost (AVC) and average total cost (ATC) for each firm. ii. Sketch a diagram to illustrate average total cost (ATC) and marginal cost (MC) for Q from 1 to 20. Identify the quantity at which the average total cost (ATC) reaches its minimum and interpret its economic or business implication. iii. An innovation was diffused widely among all firms in the market. Adoption of this innovation will help to reduce 20% of the variable cost for any given level of production while all other factors remain the same. A firm needs to pay a fee of $5 to adopt the innovation. Formulate the new production cost functions (TC, TFC, TVC, ATC and MC) for each firm.= The short-run marginal and average cost curves for a firm are displayed below. When q = 2 and q = 5, the marginal cost is $3. When q 5, the average cost is $5. Assume the firm has a fixed cost of $5 and they can sell each unit of output at a price of $3 (p = 3). What is the profit- maximizing level of output for the firm in the short-run? Profit maximizing q = LA $ 5 3 2 5 MC AC qa) suppose in the short run the amount of machines she has is fixed at 27. How many mixers should she use? How many baklavas will she produce? How much profit will she make? b) using an isoprofit line, as well as the production function, draw a diagram of your solution from a). Carefully label all the slopes and intercepts. c) In the long run, how many mixers should she use? How many machines? How many baklavas will she make?