The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 30x0.4y0.6 where P is the n...
The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 30x0.4y0.6 where P is the number of automobiles it produces per year, x is the number of employees, and y is the daily operating budget (in dollars). Assume that you maintain a constant work force of 130 workers and wish to increase production in order to meet a demand that is increasing by 80 automobiles per year. The current demand is 800 automobiles per year. How fast should your daily operating budget be increasing?
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The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 30x0.4y0.6 where P is the n...
The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 10x^0.5y^0.5...
The automobile assembly plant you manage has a Cobb-Douglas production function given by P = 10x^0.5y^0.5 where P is the number of automobiles it produces per year, x is the number of employees, and y is the daily operating budget (in dollars). Assume that you maintain a constant work force of 140 workers and wish to increase production in order to meet a demand that is increasing by 100 automobiles per year. The current demand is 800 automobiles per year....
The Cobb-Douglas model of production in an economy is P(L, K) = b["Kl-a where • Pis...
The Cobb-Douglas model of production in an economy is P(L, K) = b["Kl-a where • Pis the total production (the monetary value of all goods produced in a year) • L is the amount of labor (the total number of person-hours worked in a year) • K is the amount of capital invested (the monetary worth of all machinery, equipment, and buildings) • band a are constants which characterize the particular economy. Suppose that a manufacturer uses the Cobb-Douglas model...
An economy has a Cobb Douglas production function, given by: a, (1-a) (1) YAK L Where...
An economy has a Cobb Douglas production function, given by: a, (1-a) (1) YAK L Where Yis equal to total production, K is equal to the capital input of production and L is equal to the labour input of production. The constant, A, represents technology in the economy and a the elasticity of capital. function exhibits, decreasing, increasing or constant returns to scale. [ 10 Marks A2. Carefully derive the marginal product of labour and explain how this might be...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of workers and k is units of capital.mrtslk is k/l. the wage rate is $900 per week, and a unit of capital costs $400 per week. what is the least cost input combination for producing 675 units of output?
Suppose a Cobb-Douglas Production function is given by the following: where L is units of labor, ...
Suppose a Cobb-Douglas Production function is given by the following: where L is units of labor, K is units of capital, and P(L, K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $300 and each unit of capital costs $1,200. Further suppose a total of $120,000 is available to be invested in labor and capital (combined). A) How many units of labor and capital should be "purchased" to maximize production subject...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of...
suppose a firm has a cobb-douglas weekly production function q=f(l,k)=25l^.5k^.5, where l is the number of workers and k is units of capital.mrtslk is k/l. the wage rate is $900 per week, and a unit of capital costs $400 per week. assuming no fixed cost, what is the firm's total cost of production if it uses least-cost input combination to produce 675 units of output?
Gainesville airline's production function is given by a Cobb-Douglas form: Y = AL"K,a.B>0 where: Y =number...
Gainesville airline's production function is given by a Cobb-Douglas form: Y = AL"K,a.B>0 where: Y =number of passengers carried per year A coefficient L number of pilots (labor) K number of aircraft (capital) Suppose that the annual wage for each pilot is p, and the "price" of each aircraft (amortized annual cost) is p 1. Derive the output cost function for the Gainesville airline 2. Calculate the average and marginal cost functions, and discuss the condition when economies of scale...
The Cobb-Douglas production function is given as: Q = AK1-aLa Where 0<a<1, a = .8, K...
The Cobb-Douglas production function is given as: Q = AK1-aLa Where 0<a<1, a = .8, K =4 is the amount of capital, and L=16 is the number of unit of labor, and A = 12 is the measure of TECHNOLOGY INDEX a) Find the real wage of labor (marginal product of labor), W/P, (b) Find rate of return of capital (marginal product of capital), and (c) Discuss the insights of your findings. (d) Why is there not a large amount...
3. The White Noise Corporation has estimated the following Cobb-Douglas production function using monthly observations for...
3. The White Noise Corporation has estimated the following Cobb-Douglas production function using monthly observations for the past two years: ln Q = 1.386 + 0.20 ln K + 0.30 ln L + 0.25 ln N where Q is the number of units of output, K is the number of units of capital, L is the number of unit of labor, and N is the number of units of raw materials. With respect to the above results, answer the following...
You manage a plant that mass-produces engines by teams of workers using assembly machines. The technology...
You manage a plant that mass-produces engines by teams of workers using assembly machines. The technology is summarized by the production function q=20KL where is the number of engines per week, K is the number of assembly machines, and L is the number of labor teams. Each assembly machinerents for $30,000 per week, and each team costs w = $6,000 per week. Engine costs are given by the cost of labor teams and machines, plus $2,000 per engine for raw...
The Cobb-Douglas model of production in an economy is P(L, K) = b["Kl-a where • Pis the total production (the monetary value of all goods produced in a year) • L is the amount of labor (the total number of person-hours worked in a year) • K is the amount of capital invested (the monetary worth of all machinery, equipment, and buildings) • band a are constants which characterize the particular economy. Suppose that a manufacturer uses the Cobb-Douglas model...
An economy has a Cobb Douglas production function, given by: a, (1-a) (1) YAK L Where Yis equal to total production, K is equal to the capital input of production and L is equal to the labour input of production. The constant, A, represents technology in the economy and a the elasticity of capital. function exhibits, decreasing, increasing or constant returns to scale. [ 10 Marks A2. Carefully derive the marginal product of labour and explain how this might be...
Suppose a Cobb-Douglas Production function is given by the following: where L is units of labor, K is units of capital, and P(L, K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $300 and each unit of capital costs $1,200. Further suppose a total of $120,000 is available to be invested in labor and capital (combined). A) How many units of labor and capital should be "purchased" to maximize production subject...
Gainesville airline's production function is given by a Cobb-Douglas form: Y = AL"K,a.B>0 where: Y =number of passengers carried per year A coefficient L number of pilots (labor) K number of aircraft (capital) Suppose that the annual wage for each pilot is p, and the "price" of each aircraft (amortized annual cost) is p 1. Derive the output cost function for the Gainesville airline 2. Calculate the average and marginal cost functions, and discuss the condition when economies of scale...
You manage a plant that mass-produces engines by teams of workers using assembly machines. The technology is summarized by the production function q=20KL where is the number of engines per week, K is the number of assembly machines, and L is the number of labor teams. Each assembly machinerents for $30,000 per week, and each team costs w = $6,000 per week. Engine costs are given by the cost of labor teams and machines, plus $2,000 per engine for raw...
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