A firm has the long-run cost function C(q)-4q² + 256. In the long run, it will supply a positive amount of output, so long as the price is greater than O $108. O $224. $220. $113. O $64.
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- In the short run , a firms total cost is $200 if it does not produce any units of output. Its variable cost is $10 per unit . If the firm produces 5 units , variable costs are ____________, while fixed costs are_____________ a) $20; $200 b)$20; $250 c) $50;$200 d)$50;$250 e) $250;$450Exercise 3 A firm has a long-run cost function Cl(y) = y 3 − 10y 2 + 30y. (1) Derive the firm’s long-run average cost function. (2) Derive the firm’s long-run marginal cost function. (3) Find the level of production with the lowest average cost. (4) What is the long-run supply function for this firm? (5) If the market price is p = $18, how much would the firm decide to produce?Jeremy worked at a bank with a monthly salary of $1,500. He decided to quit his job and open a bookstore inhis neighborhood. He now pays $500 in rent, $80 in utilities and $120 in wages every month. He also paysthe publisher $5 per book sold. This month Jeremy sold 100 books at the price of $30 per book.a. What was the total revenue this month? Calculate this month’s explicit fixed cost, the variable costand the total cost.b. How much accounting profit did Jeremy make?c. How much economic profit did Jeremy make?d. If Jeremy had not quit his job at the bank, he could have been promoted and got a pay raise of 30percent. How would this affect his accounting profit and his economic profit?
- COURSE: ECONOMY A company has a total cost function TC = 80+3q+2q2 and a marginal cost function MC = 3+4q. If market price is P = $30 and it is producing 10 units:(a) Is firm maximizing its profits?b) What quantity should it produce in long run? Hint: MC= ATCc) Construct a table with all costs.d) Plot profit maximization points in short and long run.A firm has a linear demand function for its product. When the price of the product isSh.220, the quantity demanded is 40 units. When the price increases to Sh.240, thequantity demanded becomes 30 units. In addition, the firm’s marginal cost function isgiven by:MC = 40q – 2q2 + 2Fixed cost = Sh.5 millionWhere q = quantity demanded, MC = marginal cost (Sh. million)Evaluate the level of output that maximizes profits.A company manufacturing laundry sinks has fixed costs of $100 per day but has totalcosts of $2,500 per day when producing 15 sinks. The company has a daily demand functionof q = 360 − p, where q is the number if laundry sinks demanded and p is te price ofa laundry sink. ) If production increases continuously, what is likely to be the average cost per sink? How many laundry sinks will the company need to produce in order to maximise it′s profits? What is the maximum profit?
- 4 total cost is c(4, r, q) 5 total 75. If Firm A has constant marginal cost, and input prices double to 2r and 2w, how much will it cost to produce q 6 units of output (what is c(6, 2r, 2w))? (HINT: First calculate the marginal cost for c(q, r, w), then calculate c(6, r, w), and then calculate c(6, 2r, 2w)) = Firm A has cost function c(q, r, w). At output q = cost is c(5,r, q) ○ c(6, 2r, 2w) ○ c(6, 2r, 2w) = 90 ○ c(6, 2r, 2w) = 150 c(6, 2r, 2w) O c(6, 2r, 2w) = 180 - = - 75 160 = 60, and at output q -8. Consider the following cost function: C(Q) = 20Q3 – 15Q? + 10Q. Answer the following questions: What is the range of output where this firm has economies (a) of scale. (b) cost function. You must compute the expression using the cost function given in this question. What is the measure of cost-output elasticity (Ec) for thisIf the total output produced by the firm is 10 units. The average total cost is $30 and the average fixed cost is $10. The total variable cost equals $30. O $200. $20. $300.
- A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x – 0.55x² for, where x is the number of transmissions. a) Determine the marginal Cost function C'(x). b) Determine when the Cost function is maximized. c) Determine the marginal cost function at the 100th item proe Explain significance of the marginal cost at this point. ed and sold. d) Determine the cost difference between 101st and 100th boat ( C(101) - C(100)). Is this value the same or different from the marginal cost from part c? Explain.Refer to the graph shown. If a firm expected to produce 900 units when it built its plant but now desires to reduce its output to 600 units in the short run, it will use the plant size represented by: 0 300 O Multiple Choice O 600 00 SATC₁ Quantity SATC₁. SATC2. SATC3 SATC2 SATC3 SATC₂ SATCA. 900 L 1200 SATC Long-Run Average Cost 1500 Refer to the graph shown. A firm that shifts from SATC₁ to SATC2 is most likely to do so because planned output increases: Cost per unit 0 300 600 SATC₁ Multiple Choice 900 1200 1500 Quantity SATC₂ SATC2 SATC₂ to 300, from 300 to 900. from 300 to 600. SATC Long-Run Average Cost from 600 to 900.
