Assume that Alex uses capital and labour to produce a good. The unit price of capital is $2 and the unit price of labour is $4. The initial stock of capital is 40 units and the initial quantity of labour is 20. If the stock of capital decreases to 20 units, what should be the additional quantity of labour if Alex wants to incur the same cost?
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- If two painters can paint 200 square feet of wall in an hour, and three painters can paint 275 square feet, what is the marginal product of the third painter?Assume that the inputs are the perfect complement, if the price of one input (i.e wage rate) has increased, could we minimise cost by using less labour and more capital?Explain how a firm’s production function is related toits marginal product of labor, how a firm’s marginalproduct of labor is related to the value of its marginalproduct, and how a firm’s value of marginal productis related to its demand for labor
- A firm is currently employing a cost-minimizing combination of labor and capital for a given level of output. The firm is employing 20 workers, and the marginal product of the last worker is 40 units of output. The firm is employing 100 units of capital, and the marginal product of the last unit of capital is 10 units of output. If the wage rate is $20 per hour, what is the price of capital? (A) $2.5 per hour (B) $5 per hour (C) $10 per hour (D) $100 per hour (E) $200 per hourWhat is meant by an inferior factor of production? How would the firm’s demand for labour be altered if labour were an inferior factor of production?Use your knowledge of household production theory to indicate the following: a) The expected effect of a wage increase on women’s labour supply. b) The expected effect of an increase in the wage of a women on the demand for children. c) Why the substitution effect for labour supply may be larger for women than men. d) The effect of a spouse’s disability on the other person’s labour supply, where the spouse requires home (not institutional) care. e) The effect on the same spouse’s labour supply, as in (d), if the government (or private insurance) provided financial compensation to the family.
- Jolene has a production function 4?1 + ?2. If the factor prices are £12 for factor 1 and £2 for factor 2, how much will it cost her to produce 30 units of output? Use lagrange to solve thisBrian uses wool (K) and labour (L) to produce t-shirts (q). The production function is: q = min{1/3L, 2K}.If he uses 0.5 kg of wool and 3 hours of labour, he can produce 1 t-shirt. 1. The pice of wage per hour is given by w=$10 and the price of each kg of wool is given by r=$4. What is the L(q) and K(q)?If Al-quds firm has $ 1000 to be spent on two factors of production, the price of labour PL = $ 100 , and the price of machine Pm = $ 20. 1. Derive and draw the Iso-cost line ? 2. Derive the Iso-cost line formula ? 3. If the producer equilibrium occurs when the number of labor is 8 workers, and the output is 500 units. Calculate and draw the quantity of machines that achieves the equilibrium ?
- The marginal product of labor is the increase in total product from a Select one: a. one dollar increase in the wage rate, while holding the price of capital constant. b. one unit increase in the quantity of labor, while holding the quantity of capital constant. c. one unit increase in the quantity of labor, while also increasing the quantity of capital by one unit. d. one percent increase in the wage rate, while also increasing the price of capital by one percent.Labor and capital are substitutes in production.If labor becomes more educated, then, ceteris paribus, a ) capital is substituted for labor. b ) labor is substituted for capital. c ) output decreases as does the rental rate. d ) output increases as does the price of the output.Assume that you are studying an economy which produces two goods, x and y, using two factors of production, capital K and labour L. The economy’s overall quantities of the two factors are given, and the capital intensity (the capital-to-labour ratio) in the production of y is always higher than the capital intensity in the production of x. At present there is an excess supply of y. Explain and illustrate graphically what will happen in the long run to:1) Prices of goods and production.2) factor prices and factor use intensities in each sector.