Consider the following model of a firm. The firm can sell any number of units at the constant price, p, The marginal cost of production is given by MC = c + dq. If the technical parameters of the model are c=5 and d=2 and the price, p=£50, how much profit will the firm make if it produces and sells 48 units of the good.
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Consider the following model of a firm. The firm can sell any number of units at the constant price, p, The marginal cost of production is given by MC = c + dq. If the technical parameters of the model are c=5 and d=2 and the price, p=£50, how much profit will the firm make if it produces and sells 48 units of the good.
a. £2400
b. £2544
c. -£144
d. £4624
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- Consider the following model of a firm. The firm can sell any number of units at the constant price, p, The marginal cost of production is given by MC = c + dq. If the technical parameters of the model are c=5 and d=2 and the price, p=£50, What is the maximum profit this firm can make? a. £506.25 b. £1125 c. £22.5 d. £618.75Round off your final answer to whole #. A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is 2700 5,000 p=47 + -forD>1 D D² The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $39 per unit. What is the number of units that should be produced and sold each month to maximize profit?A manufacturer knows that: His TR is given by Revenue = 23Q – Q2 /4 His total cost of production is; Cost = 36 + 2Q + 0.1Q2 Where Q is the weekly production in thousands a) Economists define MR as the rate of change of Total revenue. Derive an expression for Marginal Revenue (MR) b) How do you think Economists’ would define ‘Marginal Cost’? Derive an expression for marginal Cost (MC) and at what output will make marginal Revenue equal Marginal cost? c) Find the total profit and the value of Q that maximizes profit
- Suppose that the firm with the costs and revenues shown in the graph below is contemplating whether or not to produce 12 units of output. If it were to produce this many units, what (if anything) would happen to the market price? What would be the firm's marginal revenue for the 12th unit produced? What would be the firm's total revenues per hour? Price and Marginal Cost ($ per unit) $6 E MC 10 11 12 13 14 Output (units per hour) Answer: This firm is in relation to the industry as a whole that its production market price, which would , so its output rate is influence the $6 per unit. The market price the firm's marginal revenue, which therefore would be MR unit. The firm's hourly total revenues if it were to produce 12 units would be TR $72. + $6 per 4PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. a- Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC Average Variable Cost AVC Average Fixed Cost AFC b- Given above costs can you determine what will be the firm’s production in Stage 1? c- What is the breakeven price and breakeven quantity for this firm?Wakanda is a firm that solely supplies vibranium to Marley and Paradis. The demand function of the Marley market is given as QM=110-PM , and the demand function of the Paradis market is QP=30-PP . Wakanda’s total cost in producing vibranium is given as TC=100+10Q , where represents a ton of vibranium. 3. How much is the total cost of production? 4. Assuming that Wakanda can price discriminate between Marley and Paradis market, calculate its total profits.
- Suppose that over the short run (say the next 5 years), demand for OPEC oil is given by P = 165 – 2.5q. Here q is measured in millions of barrels a day. OPEC marginal cost per barrel is $15. What is OPEC’s optimal level of production? What is the prevailing price of oil at that level? Many experts contend that maximizing short-run profit is counterproductive for OPEC in the long run because high price reduces buyers to conserve energy and spur competition and new exploration that increases the overall supply of oil. Suppose that the demand curve just described will remain unchanged only if oil prices stabilize at $65 per barrel or below. If oil price exceeds this threshold, long run demand (over a second five year-period) will be curtailed to P = 135 – 2.5q. OPEC seeks to maximize its total profit over the next decade. What is the optimum output and price policy? (assume all values are present values). An electricity producer has a constant marginal cost of production equal to $40 per megawatt. The residual demand for its electricity is given by P (q) = a−bq, where P is the price and q is the quantity of power generated by this producer. The producer knows the slope, b, but he vertical intercept of the residual demand curve, a is unknown. Assume A and B are greater than zero. If you get stuck, you may answer any of the following questions for special case where a = 80 And b = 0.5 for partial credit. (a) What is the marginal revenue, M R(q), for this producer? b) What is the optimal q for this producer? (c) What is the electricity producer’s optimal price? (d) What is the electricity producer’s optimal bid in a uniform price Auction? e) Suppose b is equal to zero. Would the producer have an incentive to submit a bid above its marginal cost? Explain.PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. Write the equations of the firm’s costs, as a function of Q: Average Total Cost ATC Average Variable Cost AVC Average Fixed Cost AFC Given above costs can you determine what will be the firm’s production in Stage 1? What is the breakeven price and breakeven quantity for this firm? What is the shutdown price and quantity for this firm? Draw the firm’s costs in a graph as per your determination in (a). Label the breakeven and shutdown price and quantity using information in (b) and (c) above. Given the market price of Pak$ 50 how many units should the firm produce? how many firms are competing in this market in short-run? How many firms will be in the industry in the long-run? How do you interpret the profit or loss condition of PakPerfect? Use a two-panel graph of the Market and…
- A major software developer has estimated the demand for its new personal finance software package to be Q=1,000,000P-2 while the total cost of the package is C = 10,000+ 25Q. If this firm wishes to maximize profit, what percentage markup should it place on this product where percentage markup is defined as 100*(sale price - marginal cost)/marginal cost? 4. a. b. C. d. e. ANS: 90% 100% 20% 40% 250%Given Question #1 Cost function C= 3000+6Q Q = 4400 - 200Q - This is the demand function Q= 1600 P = 14 Profit= 22400-12600 = 9800 Question #2 Q=$480 Q=$1120 Question #3 Ed=−1.25 Ed=−0.55 0.5<0.8− markup index it is charging less. 0.64<-1/-0.55--markup index it is charging less. Please answer question #5 A-C 5. Optimal price in San Antonio You decide to charge different prices in the two locations. To do this, you decide to use the demand functions you estimated in Q2 to calculate separate optimal prices in the two locations. For your costs in San Antonio, you have fixed costs of $2000 per week. In addition, it costs you six dollars per burger in variable costs (ingredients, labor etc.) A. What is your cost function in San Antonio? B. Using the demand function from Q2, calculate the profit maximizing price and quantity. Is the new price higher or lower than the price if you do not price discriminate? Is this consistent with your answer from Q3? C. What are your…Fresno County, California is the largest agricultural producing county in the country and almonds are an important crop with more than 99,000 acres harvested. Each acre produces about a ton of almonds and sold at a price of $4300 a ton. The Sagardia Brothers grew 600 acres of almonds. What would happen if the Sagardia Brothers priced their almonds at $4000 a ton? They will not sell any almonds. Profits will be higher than when they sell them at the higher price. The quantity sold will be higher. They will sell the same amount of almonds, but profits will be lower.