Suppose labor (L) and capital (K) are perfect substitute inputs. Each additional hour of labor increases...
Suppose labor (L) and capital (K) are perfect substitute inputs. Each additional hour of labor increases output by one unit, and each additional hour of capital increases production by 2 units. Workers are paid a wage rate (w) of $20/hour, and capital costs a rate of $50/hour. In the short-run, capital is fixed at 2.
a. Mathematically derive and graphically depict Karen’s MPL and APL curves (on the same graph).
b. Mathematically derive and graphically depict Aisling’s TC and VC curves (on the same graph).
c. Mathematically derive and graphically depict Aisling’s MC, and AVC curves (on the same graph).
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Suppose labor (L) and capital (K) are perfect substitute inputs.
Each additional hour of labor increases...
Suppose labor (L) and capital (K) are fixed proportion inputs, and that each unit of output...
Suppose labor (L) and capital (K) are fixed proportion inputs, and that each unit of output must be produced with exactly 5 units of labor and 2 unit of capital. The price of a unit of labor is w, and the price of a unit of capital is r. a. Write down the production function. b. Derive the equation for the expansion path. c. Derive the equation for the long-run total cost function. d. Graphically depict the labor demand curve....
You are a producer of HW for ECON 301. You use labor time in hours (L)...
You are a producer of HW for ECON 301. You use labor time in hours (L) and capital (K) (such as a desk, calculator, or pencil) as inputs to produce HW using q = 2KZ2. Suppose K is fixed at 1 unit in the short-run. The opportunity cost of your time (w) is $8 per hour. The rental rate per unit of capital (() is $50. a) Derive the short-run cost function, i.e. TC as a function of q. b)...
Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two...
Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two inputs of production; each unit of labor is paid the market wage (w), and each unit of capital is rented at the rental price of capital (r). Output (Y) is therefore a function of labor and capital, or Y = f (K, L), and is sold at the market price (P). The goal of this firm is to maximize profit given the price of...
Labor and capital are used to produce an airline flight. The production function is given by f(L, k)minl,k). In words, it takes two workers (pilots) and one plane to produce a trip. Safety concerns r...
Labor and capital are used to produce an airline flight. The production function is given by f(L, k)minl,k). In words, it takes two workers (pilots) and one plane to produce a trip. Safety concerns require that every plane has two pilots (a) Describe the isoquant map for the production of air trips. (b) Explain why the cost per trip is 2w +r, where w is the wage and r is the price of capital. (c) Suppose that the company wants...
Problem #3: Long-Run Labor Demand and Factor Substitutability Suppose there are two inputs in the production...
Problem #3: Long-Run Labor Demand and Factor Substitutability Suppose there are two inputs in the production function, labor (L) and capital (K), which carn be combined to produce Y units of out put according to the following production function: Y-30K+10L The firm wants to produce 600 units of out put 1. Draw the isoquant that corresponds to that level of production (600 units) in a graph that has L on the horizontal axis and K on the vertical axis 2....
The production of Florida strawberries uses two inputs: labor (L) and capital (K). The following production...
The production of Florida strawberries uses two inputs: labor (L) and capital (K). The following production function describes how these inputs are combined to produce bushels of oranges. f(L,K) = 5(1/2 + 3K1/2 1) Determine what kind of returns to scale this production function exhibits (HINT: labor is the "x" variable - the one that goes on the horizontal axis). 2) What is the formula for that kind of returns to scale? (HINT: use f(L,K)) 3) What is the general...
A firm uses labor (L) and capital (K) as inputs, and has a short run cost function C=15+ 10q+ q2. Capital is fixed at K̅
A firm uses labor (L) and capital (K) as inputs, and has a short run cost function C=15+ 10q+ q2. Capital is fixed at K̅ a. Give the formula for the firm's marginal cost function. Any method of deriving the marginal cost function is acceptable. (Hint: When calculating MC, you can assume that increases by a very, very small amount, so that q2 = q1 + ε ≈ q and q1 + q2 ≈ 2q.) b. Give the formula for the firm's...
i need answer 1-3 answered please I need problems 1-4 solved please. You do not need...
i
need answer 1-3 answered please
I
need problems 1-4 solved please.
You do not need to print this out; it is fine to use your own paper (& ruler). JE07: Given this production function (below), work through the steps to get to "cost curves. This involves DOING production and cost-not just recognizing or guessing/phishing. (Yes, it can be a chore. Spreadsheets can help-but the person using the spreadsheet has to know what they're doing and what kind of results...
4. A company produces economic analysis reports using hours of labor (L) and computers (K). The...
4. A company produces economic analysis reports using hours of labor (L) and computers (K). The production function is ? = 2?√? Initially, in the short run, they have just 1 computer (K = 1). The wage is $20 per hour, and the cost of capital is $10. a. Derive short run total cost and short run average costs curves, with costs as a function of q. Do these costs curves exhibit economies or diseconomies of scale? Explain. (5) b....
1. There is a furniture manufacturer using labor (L) and capital (K) to produce tables. Its production function is given by q= 10L^.75 K^.40. It pays a wage of $5 per hour and rents capital at a rate...
1. There is a furniture manufacturer using labor (L) and capital
(K) to produce tables. Its production function is given by q=
10L^.75 K^.40. It pays a
wage of $5 per hour and rents capital at a rate of $15. The firm
wants to find the cost-minimizing bundle of inputs to produce
10,000 tables. Assume K is on the y-axis in what
follows.
Write out the firm’s cost function.
Calculate the firm’s isocost equation.
What is the slope of the...
You are a producer of HW for ECON 301. You use labor time in hours (L) and capital (K) (such as a desk, calculator, or pencil) as inputs to produce HW using q = 2KZ2. Suppose K is fixed at 1 unit in the short-run. The opportunity cost of your time (w) is $8 per hour. The rental rate per unit of capital (() is $50. a) Derive the short-run cost function, i.e. TC as a function of q. b)...
Consider a competitive firm that produces bots. Labor (L) and capital (K) are the only two inputs of production; each unit of labor is paid the market wage (w), and each unit of capital is rented at the rental price of capital (r). Output (Y) is therefore a function of labor and capital, or Y = f (K, L), and is sold at the market price (P). The goal of this firm is to maximize profit given the price of...
Labor and capital are used to produce an airline flight. The production function is given by f(L, k)minl,k). In words, it takes two workers (pilots) and one plane to produce a trip. Safety concerns require that every plane has two pilots (a) Describe the isoquant map for the production of air trips. (b) Explain why the cost per trip is 2w +r, where w is the wage and r is the price of capital. (c) Suppose that the company wants...
Problem #3: Long-Run Labor Demand and Factor Substitutability Suppose there are two inputs in the production function, labor (L) and capital (K), which carn be combined to produce Y units of out put according to the following production function: Y-30K+10L The firm wants to produce 600 units of out put 1. Draw the isoquant that corresponds to that level of production (600 units) in a graph that has L on the horizontal axis and K on the vertical axis 2....
The production of Florida strawberries uses two inputs: labor (L) and capital (K). The following production function describes how these inputs are combined to produce bushels of oranges. f(L,K) = 5(1/2 + 3K1/2 1) Determine what kind of returns to scale this production function exhibits (HINT: labor is the "x" variable - the one that goes on the horizontal axis). 2) What is the formula for that kind of returns to scale? (HINT: use f(L,K)) 3) What is the general...
i
need answer 1-3 answered please
I
need problems 1-4 solved please.
You do not need to print this out; it is fine to use your own paper (& ruler). JE07: Given this production function (below), work through the steps to get to "cost curves. This involves DOING production and cost-not just recognizing or guessing/phishing. (Yes, it can be a chore. Spreadsheets can help-but the person using the spreadsheet has to know what they're doing and what kind of results...
1. There is a furniture manufacturer using labor (L) and capital
(K) to produce tables. Its production function is given by q=
10L^.75 K^.40. It pays a
wage of $5 per hour and rents capital at a rate of $15. The firm
wants to find the cost-minimizing bundle of inputs to produce
10,000 tables. Assume K is on the y-axis in what
follows.
Write out the firm’s cost function.
Calculate the firm’s isocost equation.
What is the slope of the...
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