Suppose a company plans on spending $1000 on its daily production. Find three different combinations of labor and capital that will satisfy this budget if Labor costs $10 per hour and Capital costs $10 per hour. Illustrate your answer to (a) on a graph
Suppose a company plans on spending $1000 on its daily production. Find three different combinations of...
4. Davy Metal Company produces brass fitings. Davy's engineers estimate the production function represented below as relevant for their long-run capital-labor decisions. 500L0.6K0.8, where Q- annual output measured in pounds, L - labor measured in person hours, K -capital measured in machine hours. The marginal products of labor and capital are therefore MPL-300L-0.4K0.8 MPK-400L0.6K-0.2 Davy's employees are relatively highly skilled, so labour costs 15 per hour. The firm estimates a rental charge of є50 per hour on capital. Davy forecasts...
3. Y16 pts) A cell phone company offers three different "pay as you go" daily cell phone plans. . Plan A charges $0.26 per minute. • Plan B charges $1 per day plus $0.10 per minute. • Plan C charges a fixed rate of $2.50 per day. Let YA, Yo, and Yc represent the daily charges using plans A, B, C, respectively. Let I be the number of minutes per day spent on the phone. (a) (3 pts) Find a...
3. (5 points) Consider a manufacturing company whose daily production output (number of daily produced goods) is described by the Cobb-Douglas production function 20x1/2,1/2, where x is the number of units of labour (number of working hours) and y is the number of units expended on capital (number of machine hours). A unit of labour costs $10 (hourly wage is $10) and a unit of capital costs $40 (cost per machine hour is $40). (a) (2 points Assume that the...
1. Consider a steel firm that faces a convex isoquant production function where the inputs are labor and capital. The production function yields constant returns to scale. The firm is currently at a cost-minimizing combination of labor and capital for the desired level of output. Suppose the capital used in the production process emits low amounts of polluted wastewater into a nearby river. In order to promote the use of the environmentally friendly capital the government provides a unit subsidy...
9) A company that manufactures computers have determined that its production function is given by Pr,y) 500x +800y +3x2ywhere x is the size of the labor force (measured in work-hours per week) and y is the amount of capital (measured in units of $1000) invested. a) Find and interpret P(50, 20) b) Find the Marginal Productivity of Labor when x-40 and y-10 and interpret the results
9) A company that manufactures computers have determined that its production function is given...
Preble Company manufactures one product. Its variable manufacturing overhead is applied to production based on direct labor-hours and its standard cost card per unit is as follows: Direct material: 5 pounds at 58.00 per pound $40.00 Direct labor: 2 hours at $14 per hour 28.00 Variable overhead: 2 hours at 5 per hour 10.00 Total standard variable cost per unit $78.00 The company also established the following cost formulas for its selling expenses: Advertising Sales salaries and commissions Shipping expenses...
2. A company is producing toasters. Its production function is given by qf(L, K) KL2. The company wants to produce 1,000 toasters per hour and the price of capital is $10 per hour. dq 2KL and MP a) The company is considering building a factory in Country A where the price of labor is $5 per hour. What combination of labor and capital minimizes the company's cost in Country A? b) The company is also considering building a factory in...
Preble Company manufactures one product. Its variable manufacturing overhead is applied to production based on direct labor-hours and its standard cost card per unit is as follows: Direct materials: 5 pounds at $10 per pound $ 50 Direct labor: 3 hours at $17 per hour 51 Variable overhead: 3 hours at $7 per hour 21 Total standard cost per unit $ 122 The planning budget for March was based on producing and selling 24,000 units. However, during March the company...
Question 1 Sachith CADs production function for a given level of technology is given by q 0.25K0.25L0.75. Where q is the amount of prints per hour. Suppose the rental rate per printing machine is $52 per hour, and labor can be hired at $12 per worker hour. The company has allocated $150,000 for the initial run of prints. a. Calculate marginal products of labor and capital. b. Determine the firm's optimal capital-labor ratio (labor on the x axis) c. Construct...
Question 7 rding to the production function: uses labor and machines to produce output according to the where Lis ALK) = 41/212, ere is the number of units of labor used and K is the amount of capita or is $40 per unit and the cost of employing capital is $10 per unit. mount of capital employed. The cost (0): On the graph below, draw an isocost line for this firm that includes combin capital and labor that cost $400...