5. Suppose that a frm faces the demand curve of the form q = 60 2p. a) Write down the total revenue curve as a function of q. b) Assume MC = 0:2q and MR = 30q. What output level should the firm produce to maximize profits? c) Graph the demand, MC, and MR curves and the point of profit maximization.
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5. Suppose that a frm faces the
b) Assume MC = 0:2q and MR = 30q. What output level should the firm produce to maximize profits?
c) Graph the demand, MC, and MR curves and the point of profit maximization.
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- 2. ABC Manufacturing has provided you with their demand function Qd = 2000-2p and supply function Qs = 60+5p, please answer the following questions: a. What is the company’s marginal revenue function? b. At level of output is profits maximized? c. At what price is profits maximized? d. What is total revenue at the profit maximization level of output?Mike spends RM35,000 per annum on painting supplies and storage space. He recently received two job offers from a famous marketing firm – one offer was for RM 95,000 per year, and the other was for RM 105,000. However, he turned both jobs down to continue a painting career. If Mike sells 20 paintings per year at a price of RM 8,000 each: Question 1: What are his accounting profits? Question 2: What are his economic profits?For a company with (inverse) demand function P = 4,510 - 55Q and cost function C = 88,000 + 660Q, let QR, QU, and QP denote, respectively, the quantities that maximize revenue, per-unit profit, and overall profit. Which of the following statements is true?A. QU > QP > QRB. QP > QU > QRC. QU > QR > QPD. QR > QU > QP
- 10 Suppose that LRTC = 60q - 8q2 + 1/3q3 a. Explain how you would estimate a cubic TC function using Excel, and what the estimated coefficients (including the constant term) would need to be in order to result in the given LRTC equation. b. For the given LRTC, determine the price, quantity, and profit for a typical firm in a competitive industry in the long run.Wonopoly and natural resource prices Suppose that a firm is the sole owner of a stock of a natural resource. a. How should the analysis of the maximization of the discounted profits from selling this resource (Equation 17.63 be modified to take this fact into account? b. Suppose that the demand for the resource in question had a constant elasticity form q(t)=a[p(t)]b . How would this change the price dynamics shown in Equation 17.67? c. How would the answer to Problem 17.7 be changed if the entire crude oil supply were owned by a single firm?Which of the ff. should influence the decision of Jollibee Foods Corp. in choosing whether to open a store in a given locality? A. Own price elasticity of demand B. Cross price elasticity of demand C. Income elasticity of demand D. Elasticity of supply
- 2. A firm can produce up to 500 units each week. If its average cost function is C(x) = 500/x + 1500 and its total revenue function is given by: R(x) = 1600x − x^2 • What production maximizes profit? What is the maximum profit for that production level? • What production makes the profit equal to zero? (that point is called the break-even point) 3. The joint cost (in thousands of euros) for two products X and Y can be given by the following formula: C(x, y) = 40 + y^2 + 3x + 2xy + (x^2) y + y^3 where x represents the quantity of product X that is produced and y represents the quantity of product Y produced. • If 12 units of product X and 20 units of product Y are produced, what are the marginal costs? • What product line should be expanded in the current level of production?1. If profit is maximum at sales of 700 units, does the firm have no choice but to limit sales at this level? Explain your answer. 2. A business firm produces and sells a particular Variable cost is P30/unit. Selling price is P40 per unit. Fixed cost is P60,000. a. What is the break-even quantity and break-even point? Show your solution. 3. A manager makes the statement that output should be expanded as long as average revenue exceeds average Does this strategy make sense? Explain. 4. Suppose that the steel firm’s costs are shown below: Complete the table and determine the optimal output to be Price of steel P17 per unit. Output (Q) TFC TVC TC MC TR MR Profit/Loss 0 500 0 1 500 50 2 500 90 3 500 140 4 500 200 5 500 270 6 500 350 7 500 450…Revenue at a major smartphone manufacturer was $2.3 billion for the nine months ending March 2, up 85 percent over revenues for the same period last year. Management attributes the increase in revenues to a 108 percent increase in shipments, despite a 21 percent drop in the average blended selling price of its line of phones. Given this information, is it surprising that the company’s revenue increased when it decreased the average selling price of its phones? Explain.
- A company has a linear total cost and a linear total revenue, where the slope of the revenue line is greater than the slope of the cost line. How many of the following will allow the firm to reduce the level of their break-even point? (i) Increase their selling price (ii) Increase their output (iii) Increase their fixed costs (iv) Decrease variable costs a.Four b.One c.Two d.Three e.NoneWhat is the profit-maximizing output level for a company that has demand function Q = 220 - 4P and cost function C = 500 + Q^2?A. 22B. 25C. 220D. 500Management believes it can sell a new product for $8.50. The fixed costs of production are estimated to be $6,000, and the variable costs are $3.20 a unit. Complete the following table at the given levels of output and the relationships between quantity and fixed costs, quantity and variable costs, and quantity and total costs. Quantity Total Revenue Variable Costs Fixed Costs Total Costs Profits (Loss) 0 500 1,000 1,500 2,000 2,500 3,000 Determine the break-even level using the above table and use the following Equation to confirm the break-even level of output. PQB = FC + VQB PQB - VQB = FC QB (P-V) = FC QB = FC P-V What would happen to the total revenue schedule, the total cost schedule, and the break-even level of output if management determined that fixed costs would…
