Inputs of a MP Inputs of b 25 40 20 36 3. 15 32 4. 10 24 20 16 7. The table gives marginal product data for resources a and b The output of these independent resources sels in a purely competitive market at $1 per unt Assuming the prices of resources a and bare $5 and $8 respectively, what is the least costly combination of resources for the firm to employ in producing 153 units of output? Multiple Choice 4 of a and 4 of b O Gof aend 2 of b 2 ofeand 3of
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- Q.1.20 An upward-sloping labour supply curve illustrates that ceteris paribus; (a) the quantity of labour supplied and the hours of work per week aredirectly related.(b) the quantity of labour supplied and the price of labour used to produceoutput are inversely related.(c) individuals use higher income to buy back leisure time.(d) a greater quantity of labour would be supplied at higher wage rates .Q.1.17 Marginal cost is defined by: (a) total cost increases when one more unit is produced.(b) fixed cost increases when one more unit is produced.(c) Total revenue increases when one more unit is produced.(d) average cost increases when one more unit is produced.Given: Q = -0.0250 L3 + 1.5 L2 a) Derive the AP and MP equations (4 pts) b) What is the level of Q where AP and MP of labor is maximum? 2. The chief economist for Lanux Corporation, a large appliance manufacturer, estimated the firm’s short-run cost function for vacuum cleaners using an average variable cost function of the form AVC = a + bQ + cQ2 where AVC = dollars per television and Q = number of vacuum cleaners produced each month. Total fixed cost each month is $180,000. The following results were obtained: DEPENDENT VARIABLE: AVC R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 19 0.7360 39.428 0.0001 PARAMETER STANDARD VARIABLE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 191.93 54.65 3.512…QUESTION 2The total production of a good y is determined by the production function y = 3L2/3K1/3, where L is labour input and K capital input.The reward (factor prices) for labour and capital are, l = 27 en r = 2, respectively.The producer needs to produce 9000 units of good y.How much units of labour will he hire if he wants to miminize his total costs? 1587,4839,953000515,23
- Units of Resource Total Product 1 24 2 42 3 54 4 64 5 72 The table shows a total-product schedule for a resource. Assume that the quantities of other resources the firm employs remain constant. If the firm can sell 24 units of output at a price of $1.00 and 42 units of output at a price of $0.80, the marginal revenue product of the second unit of the resource is Group of answer choices $5.40. $7.80. $9.60. $12.20.Please give me a proper explanation Assume labor is the only variable input and that an additional input of labor increases total output from 20 to 23 units. If the product sells for $12 per unit in a purely competitive market, the MRP of this additional worker is Multiple Choice O $276. $3. $12. $36. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.A purely competitive firm has a single variable input < (labor), with the wage rate. W0 per period. Its fixed inputs cost the firm a total of F dollars per period. The price of the product is P0. (a) write the production function, revenue function, cost function, and profit function of the firm. (b) what is the first-order condition for profit maximization ? Give this condition an economic interpretation. (c) What economic circumstances would ensure taht profit is maximized rather tahtn minimized?
- For a production process, the marginal product of labour is given by the equation: MPL= 12L - 0.4L2. The first 18 items produced can be sold for $100 each, and beyond that production level, the unit selling price is $90. What is the marginal revenue product of labour when labour input is 20? a.6800 b.8000 c.9000 d.7500 e.7200A firm uses labour, L and capital K, to produce a single product, X. capital is fixed but labour is variable. The firm’s production function is:X=-0.2L3 + 18L2 + 1620L.Where X is the number of units of the product per week, and L is the number of persons employed.A. A t what weekly output is marginal cost equal to average variable cost?B. if the price of the product is $0.20 per unit, what is the maximum weekly wage that the firm would pay rather than close down?A firm uses labour, L and capital K, to produce a single product, X. capital is fixed but labour is variable. The firm’s production function is: X=-0.2L3 + 18L2 + 1620L. Where X is the number of units of the product per week, and L is the number of persons employed. A t what weekly output is marginal cost equal to average variable cost? if the price of the product is $0.20 per unit, what is the maximum weekly wage that the firm would pay rather than close down?
- The profit function is the same as in Question 40 and 41. Profit =200L+100K-10L^2-20K^2+20KL. After determining the profit-maximizing level of Labor (L) 25 and Capital (K) 15 how much are the profits of the firm at the profit-maximizing levels of L and K? Its not 46!.Suppose, the demand and supply curve in a US manufacturing firm are provided as follows: ES = 20 + 2w ED = 70 − 3w where E is the level of employment and w is the hourly wage. Let’s assume this firm shows the representative wage of the manufacturing industry. Suppose the price of each unit of capital used in this industry is $25. The price of output is constant at $50 per unit. The production function is f(E,K) = E½K ½ , so that the marginal product of labor is MPE = (½)(K/E) ½ If the current capital stock is fixed at 1,600 units, how much labor should the industry employ in the short run? How much profit will the industry earn?Suppose that labor is the only input used by aperfectly competitive firm. The firm’s productionfunction is as follows:Days of Labor Units of Output0 days 0 units1 72 133 194 255 286 297 29a. Calculate the marginal product of each additionalworker.b. Each unit of output sells for $10. Calculate thevalue of the marginal product of each worker.c. Compute the demand schedule showing thenumber of workers hired for all wages from zeroto $100 a day.d. Graph the firm’s labor-demand curve.e. What happens to this demand curve if the price ofoutput rises from $10 to $12 per unit?