A firm is currently buying 1000 units of a resource each week in a competitive resource market at a price of $35 per unit. At that quantity (1000 units), the marginal product of the resource input is 5 units and the firm sells its product in a competitive product market for $5 per unit. The firm: Can increase its profits by buying more of this resource. Is maximizing profits at its present resource usage Can increase profit by buying less of this resource Has significant market power
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- 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…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?
- Tripod Store has been so successful in Paris that it wants to set up a new operation in Nantes. Their long-run production func tion is Q = K2/3L1/3 The rental rate of capital is $12 and the wage is $10. The market price of cameras is $6, and Tripod expects to sell 1000 per month. a. What is the opti mal allocation of capital and labor (per month) for the new loc ation? b. In add ition to the price of labor and capital, Tripod will have to pay $8000 per month in fixed costs—rent, insurance, etc. Does this change your answer to part (A) above?. 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.Consider a small landscaping company run by Mr. Viemeister. He is considering increasing his firm's capacity. If he adds one more worker, the firm's total monthly revenue will increase from $50,000 to $62,000. If he adds one more tractor, monthly revenue will increase from $50,000 to $68,000. Each additional worker costs $6,000 per month, while an additional tractor would also cost $6,000 per month. Instructions: Enter your answers as a whole number. a. What is the marginal revenue product of labor? The marginal revenue product of capital? b. What is the ratio of the marginal revenue product of labor to the price of labor (MRP ✓ ÷ PL)? What is the ratio of the marginal revenue product of capital to the price of capital (MRP C÷ PC)? c. Is the firm using the least-costly combination of inputs? (Click to select) = d. Does adding an additional worker or adding an additional tractor yield a larger increase in total revenue for each dollar spent? (Click to select)
- Consider a small landscaping company run by Mr. Viemeister. He is considering increasing his firm’s capacity. If he adds one more worker, the firm’s total monthly revenue will increase from $50,000 to $62,000. If he adds one more tractor, monthly revenue will increase from $50,000 to $58,000. Each additional worker costs $4,000 per month, while an additional tractor would also cost $4,000 per month. Instructions: Enter your answers as a whole number. a. What is the marginal revenue product of labor? $ The marginal revenue product of capital? $ b. What is the ratio of the marginal revenue product of labor to the price of labor (MRPL/PL)? : What is the ratio of the marginal revenue product of capital to the price of capital (MRPC/PC)? :The marginal and average total cost curves for barbers in an area are cosntant at $12.00/haircut. The daily demand curve for haircuts in the area is given by: P = 22 - 0.001Qd where P is the price in dollars per haircut and Qd is the daily quantity demanded in number of haircuts. Haircuts are provided in a perfectly competitive market and each barber can provide exactly 25 haircuts daily. Suppose that the government decides to limit the number of barbers to 320. Each year, barbers must obtain a government-issued license to cut hair. Based upon the previous information: a. What will be the long-run equilibrium price for a haircut given there are only 320 licensed barbers?b. How much economic profit will each licensed barber earn daily?Consider a small landscaping company run by Mr. Viemeister. He is considering increasing his firm's capacity. If he adds one more worker, the firm's total monthly revenue will increase from $52,000 to $70,000. If he adds one more tractor, monthly revenue will increase from $52,000 to $64,000. Each additional worker costs $6,000 per month, while an additional tractor would also cost $6,000 per month. Instructions: Enter your answers as a whole number. a. What is the marginal revenue product of labor? The marginal revenue product of capital? b. What is the ratio of the marginal revenue product of labor to the price of labor (MRP /PL)? What is the ratio of the marginal revenue product of capital to the price of capital (MRP OPd? %24
- Consider a small landscaping company run by Mr. Viemeister. He is considering increasing his firm's capacity. If he adds one more worker, the firm's total monthly revenue will increase from $54,000 to $72,000. If he adds one more tractor, monthly revenue will increase from $54,000 to $66,000. Each additional worker costs $6,000 per month, while an additional tractor would also cost $6,000 per month. Instructions: Enter your answers as a whole number. a. What is the marginal revenue product of labor? The marginal revenue product of capital? $ b. What is the ratio of the marginal revenue product of labor to the price of labor (MRPL/P)? What is the ratio of the marginal revenue product of capital to the price of capital (MRP /P d?Convey how the marginal revenue productivity of a resource relates to a firm’s demand for that resource.Problem 5 The production function of COVID vaccines for firm O is given by v° = VKL. and requires at least one unit of labor L and one unit of capital K, i.e. L>1 und K > 1. a) After a year and some thorough research, the production function changes to VO = V4KL. (I) Compute the marginal products with respect to labor L and capital K for both production functions ! (II) Which company's the marginal products is/are larger ? What happened to the original level of production after a year ? (III) Do the production functions exhibit increasing, constant or decreasing returns to scale ? b) Suppose now, we compare production functions of company O that discovered the vaccine to a second company M. The production function of M is given by VM = K0.6 L0.4 (I) Compute the marginal products with respect to labor L and capital K for this pro- duction function ! (II) If both companies used the same equal amount of labor L and capital K, which of them will generate more output ? (III) If the…