Assume a firm is a small business and act as a price-taker in the market, the market price of the firm's product is 20. The firm's cost function is: C(q) = 0.5q²+5q+100. a. What is the firm's optimal output level? b. What's the firm's highest profit?
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- A profit-maximizing firm in a competitive market is currently producing 100 units of output. It has average revenue of $10, average total cost of $8, and fixed cost of $200.\a. What is its profit?b. What is its marginal cost?c. What is its average variable cost?d. Is the efficient scale of the firm more than, less than, or exactly 100 units?Problem 2.5 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?A manufacturing firm faces the cost of production as follows : Quantity Total Fixed Costs Total Variable Costs 0 $ 100 0 1 $ 100 $ 40 2 $ 100 $ 60 3 $ 100 $ 80 4 $ 100 $ 130 5 $ 100 $ 190 6 $ 100 $ 350 (a) Calculate the company's average fixed costs, average variable costs, average total costs,, and marginal costs at each level of quantity larger than zero (b) Suppose the price of the firm's product is $ 90, what is the firm's optimal production quantity? What is the firms profit under this quantity?
- 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?A profit-maximizing firm in a competitive market is currently producing 100 units of output. It has average revenue of $10, average total cost of $8, and fixed cost of $200. What is its profit? What is its marginal cost? What is its average variable cost?A Milton company works in perfect competition market, its total cost curve in short run is given in this function:TC = 200 − 4Q + 0.5Q2a. What output level should the firm produce to maximize profit? knowing that average revenue is $10.b. What is the firm profit at this level of output?
- Q4) A perfectly competitive firm has the following total cost function: Total output Total Cost 0 20 1 30 2 42 3 55 4 69 5 84 6 100 7 117 How much will the firm produce if the price of the production the market is Rs. 14 per unit? How will it change its output if price rises to Rs. 16 per unit?Q4) A perfectly competitive firm has the following total cost function: Total output Total Cost 0 20 1 30 2 42 3 55 4 69 5 84 6 100 7 117 How much will the firm produce if the price of the product on the market is Rs. 14 per unit? How will it change its output if the price rises to Rs.16 per unit?Assume that the marginal revenue equals rising marginal cost at 100 units of output. At this output level, a profit-maximizing firm's total fixed cost is $700 and its average variable costs are $5. If the price of the product is $4 per unit and the firm produces the profit-maximizing level of output, How much profit firm will earn ?
- For the pizza seller whose marginal, average variable, and average total cost curves are shown below. a. What is the profit maximizing level of output and profit of this firm if the price of pizza is $3.50? b. Below what price will this firm shut-down in the short-run? c. If the price was $4.50, what would this firm's profit be?Sunrise Juice Company sells its output in a perfectly competitive market. The firm's total cost function is given in the following schedule: Output Total Cost (Units) ($) 0 50 10 120 20 170 30 210 40 260 50 330 60 430 Total costs include a "normal" return on the time (labor services) and capital that the owner has invested in the firm. The prevailing market price is $7 per unit. (a) Prepare (i) marginal cost and (ii) average total cost schedules for the firm. (b) What is the firm's profit maximizing output level? (c) Is the industry in long-run equilibrium? Justify your answer.***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?
