1. Consider a perfectly competitive market with a price of $21, where each firm has a cost function of c(q) = 10 + q +3q². a) Is the market in long-run equilibrium? Explain why or why not. b) What is the value to a firm of a cost-saving process innovation that reduces the cost function to c(q) = 5 +0.5q2²? Illustrate this innovation graphically using a well-labeled diagram.
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In the short run, firms in perfectly competitive markets can earn a profit. However, this attracts new firms into the market and causes them to raise the supply. A rise in the supply causes the price to fall until it reaches the average total cost of the firm.
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- Assume the following cost data are for a purely competitive producer: Explain: “That segment of a competitive firm’s marginal cost curve that lies above its average-variable-cost curve constitutes the short-run supply curve for the firm.” Illustrate graphically. How does this curve relate to the law of diminishing returns (Chapter 6)?Q)Assume that a competitive firm has the total cost function: TC=1q^3−40q^2+740q+1600 Suppose the price of the firm's output (sold in integer units) is $650 per unit. Create tables (but do not use calculus) with columns representing cost, revenue, and profit to find a solution. A. How many units should the firm produce to maximize profit? B. What is the total profit at the optimal output level? Please specify your answer as an integer.1. There are 300 identical firms in a perfectly competitive market, the price of the output is p, the short-run cost function of a typical firm in the market is as follows: C(q) = q³-2q²+2q+10 a. What is this firm's (short-run) marginal cost function? b. What is this firm's (short-run) average variable cost function? c. What is this firm's (short-run) supply function? d. If p = 17, what is this firm's maximum profit?
- Suppose that each firm in a competitive pizza market has the following identical cost: Total cost: TC=25+1.5Q2 Formulate the equation or level of fixed cost, variable cost, marginal cost, average variable cost (AVC) and average total cost (ATC) for each firm. 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. 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.TOTAL COST AND REVENUE (Dollars) -25 Suppose Lorenzo runs a small business that manufactures teddy bears. Assume that the market for teddy bears is a price-taker market, and the market price is $10 per teddy bear. The following graph shows Lorenzo's total cost curve. Use the blue points (circle symbol) to plot total revenue, and the green points (triangle symbol) to plot profit for the first seven teddy bears that Lorenzo produces, including zero teddy bears. 125 Total Cost 100 Total Revenue 75 -50 1 2 5 6 QUANTITY (Teddy bears) Profit Calculate Lorenzo's marginal revenue and marginal cost for the first seven teddy bears he produces, and plot them on the following graph. Use the blue points (circle symbol) to plot marginal revenue and the orange points (square symbol) to plot marginal cost. ? COSTS AND REVENUE (Dollars per teddy bear) 2 3 5 QUANTITY (Teddy bears) Marginal Revenue Marginal Cost Lorenzo's profit is maximized when he produces teddy bears. When he does this, the marginal…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.
- Suppose that each firm in a competitive pizza market has the following identical cost: Total cost: TC=25+1.5Q2i. 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.(Suggested word count: 300-350 words)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?The graph below shows the marginal cost (MC), average variable cost (AVC), and average total cost (ATC) curves for a firm in a competitive market. These curves imply a short-run supply curve that has two distinct parts. One part, not shown, lies along the vertical axis (quantity-0); this represents a condition of production shutdown. Where is the other part? Use the straight-line tool to drawit. To refer to the graphing tutorial for this question type, please click here Price and cost 18 15 14 13 12 10 19/21 SUBMIT ANSWER 13 OF 21 QUESTIONS C OMPLETED 28 MacBook Pro 금□ F7 F8 F9 F1o F2 F3 F5
- 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?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.The coffee industry is comprised of many firms producing an identical product. Market demand and supply conditions are indicated in the left-hand panel of the figure below; the long-run cost curves of a representative coffee farmer are shown in the right-hand Currently, the market price for coffee is $2 per pound, and at that price consumers are purchasing 800,000 pounds of coffee per day. Using the graphs shown in the images find:a. How many pounds of coffee will each farmer produce if they want to maximize profits?b. How many farmers are currently serving the industry (fractional numbers are fine)?c. In the long run, what will the equilibrium price of coffee be? Briefly explain your answer.