1. Consider the production function given by Y = 10 1 k where I denotes number of workers and k denotes units of capital. The MPL = 10k and the MPK = 101. The prices of labor and capital are wloand wK, respectively. a. TRS .... b. The conditional labor demand is C. How will an increase in wk affect the labor demand in b? Explain
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- 2. Consider the production function given by Y= altbK. The prices of labor and capital are wLand wK, respectively. a. Find the conditional input demand for L and K b. Find the cost function C. How will an increase in wk affect the labor demand in a? Show graphically d. If K is fixed at 10, find the conditional labor demandComplete the following labor supply table for a firm hiring labor competitively: Total Labor Cost Marginal Resource (Labor) Cost Marginal Revenue Product Units of Labor Wage Rate $14 14 $38 2 14 28 3 14 24 4 14 20 5 14 14 6 14 10 a. Show graphically this firm's labor supply and marginal resource (labor) cost curves. Instructions: (1) Use the tool provided 'MRC' to draw the marginal resource cost curve (plot 6 polnts total). (2) Use the tool provided 'MRP' to draw the marginal revenue product curve (plot 6 polnts total). To earn full credit for this graph, you must plot all required polnts for each curve. Тools MRC MRP 1. 3 4 5 6 7 Quantity of labor Wage rate (dollars)Consider a firm for which production depends on two normal inputs, labor and capital, with prices w and r, respectively. Initially the firm faces market prices of w = 6 and r = 4. These prices then shift to w = 4 and r = 2.a. In which direction will the substitution effect change the firm’s employment and capital s tock?b. In which direction will the scale effect change the firm’s employment and capital stock?c. Can we say conclusively whether the firm will use more or less labor? More or less c apital?
- Explain how the wage can adjust to balance thesupply and demand for labor while simultaneouslyequaling the value of the marginal product oflabor.Will decrea n he fong run, assume a firm uses both labor and capital to produce 25 units of output. The marginal product of the last unit of labor being employed is 100; the marginal product of the last unit of capital being employed is 500. The wage rate of labor is $10. If the firm is minimizing the cost of producing 25 units of output, what must be the unit price of capital?If the price of capital decreases and the demand for labour increases then Select one: O A. the scale effect is less than the substitution effect. О в. capital and labour are gross substitutes. the scale effect and substitution effect offset each other, OD. the scale effect is greater than the substitution effect.
- The lines on the graph are budget constraints, showing the tradeoff between labor and leisure. Suppose that when the wage changes, an individual chooses to move from point A to another point on the graph. For each of the other points, where would it belong on the backward bending labor supply curve? Backward‑bendingportionVerticalportionUpward‑slopingportion Answer Bank B D F C EDefine marginal product of labor and value of the marginal product oflabor. • Describe how a competitive, profit-maximizing firm decides how many workersto hire.Imagine a firm that employs two types of workers – some with computer skills and others withno technology related skills. (i) Explain how a firm’s production function is related to its marginal product of labour, howa firm’s marginal product of labour is related to the value of its marginal product and how afirm’s value of marginal product is related to its demand for labour. (ii) Explain how the wage can adjust to balance the supply and demand for labour whilesimultaneously equalling the value of the marginal product of labour.
- 69. If the price of labor falls relative to the price of capital, and as a result the quantity of capital employed decreases, it can be concluded that: A. The substitution effect is greater than the output effectB. The output effect is greater than the substitution effectC. The income effect is greater than the output effectD. Labor cannot be easily substituted for capitalSuppose we have a produ ction function for wheat Q = KL - 0.8K2 - 0.212 A. Given K = 10 Units, calculate the level of labourth at the AP reaches max andh ow Much wheatis produced at that point B. Given K = 10 at what level of labour outputreaches maximum C. How mu ch Ilevel of labor should the company hire in order to be efficient |Explain the rule that proft-maximizing frms follow when they decide howmuch capital and labor to hire.
