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PROBLEM 1.b (5 points): A small bus company has a cost function ofC 5 +7q, where...
5, (20 points) Consider the following cost function: c(q:F)-F +109 + 뚤, where F > 0...
5, (20 points) Consider the following cost function: c(q:F)-F +109 + 뚤, where F > 0 represents the fixed cost F = c(QF). (a) (5 points) Compute the marginal cost function, MC(q) (q; F) b) (5 points) Show that the marginal cost function MC() is increasing. (c) (10 points) Recall the average cost function, AC(q; F) - Find (F the value of q (given F) at which AC(q; F) MC(4)
Consider the two-bus lossless system shown in Figure Q6. The cost functions of the generators con...
Consider the two-bus lossless system shown in Figure Q6. The cost functions of the generators connected at buses A and B are, respectively, gB a) What is the Incremental (Marginal) Cost of production of each generator? 5% b) Assuming that the load is constant and inelastic, and that all energy is sold at its marginal cost of production, calculate the price of electricity at each bus, the production and the revenue of each generator, as well as payments of each...
Question 01. Consider the cost function C = 5,000 + 50. Q, where C denotes the total cost, and Q denotes the quanti...
Question 01. Consider the cost function C = 5,000 + 50. Q, where C denotes the total cost, and Q denotes the quantity produced. A. Complete the following table: (Hint: MC = AC/AQ) Quantity | Cost Fixed Cost Total Cost Average | Marginal Total Cost Cost 10 20 50 100 1000 B. Using the above table, plot average total cost and marginal cost. Cost Quantity C. Explain how you know that this firm has increasing returns to scale.
Consider a firm that has the following CES production function: Q = f(L,K) = [aL^ρ + bK^ρ]^1/ρ where ρ ≤ 1. Please...
Consider a firm that has the following CES production function: Q = f(L,K) = [aL^ρ + bK^ρ]^1/ρ where ρ ≤ 1. Please clearly show each STEP and make sure your handwriting is LEGABLE. Thank you Derive the MRTS for this production function. Does this production function exhibit a diminishing MRTS? Justify using derivatives and in words. What does this imply about the shape of the corresponding isoquants? (10 points) What are the returns to scale for this production function? Show...
1 Economies of Scale Consider the total cost function (TC): TC(q) = 100+ 40 + 492...
1 Economies of Scale Consider the total cost function (TC): TC(q) = 100+ 40 + 492 where q is output. 1.1 (10 points) Obtain the index of the extent of scale economies S = MCQ, where AC is average cost and MC is marginal cost. What is the value of this index when q = 2? Provide an intuitive interpretation for this number. 1.2 (10 points) Is there any range of production characterized by scale economies? At what production level...
1. Consider a firm that has the following CES production function: Q = f(L,K) = [aLP...
1. Consider a firm that has the following CES production function: Q = f(L,K) = [aLP + bK°]!/p where p a. Derive the MRTS for this production function. Does this production function exhibit a diminishing MRTS? Justify using derivatives and in words. What does this imply about the shape of the corresponding isoquants? (10 points) b. What are the returns to scale for this production function? Show and explain. Explain what will happen to cost if the firm doubles its...
Problem 1: Isoquant, Isocost Cost Minimizing Approach to Factor Selection: Suppose that as part of the...
Problem 1: Isoquant, Isocost Cost Minimizing Approach to Factor Selection: Suppose that as part of the UNCCCC Paris Agreement Green New Deal Plan to rapidly reduce Greenhouse Gas Emissions (GHGs) and other local air pollutants, suppose the elected City Council of the City of K'jipuktuk (Halifax) puts into place a low GHG transport system. As part of the plan, K'jipuktuk Transit, has been electrifying and increasing the size of the city's Public Transit System. So, far to this end, suppose...
**Only [Harder] Question** Problem 2. Consider a firm that has a cost function of c(y) =...
**Only [Harder] Question** Problem 2. Consider a firm that has a cost function of c(y) = 5y 2 + 50, 000. In other words, this is a firm with a fixed cost of $50,000 (which might be something like the cost of rent on the firm’s building, which they have to pay whether they produce any output or not) and a variable cost of $5Y 2 , (which we’ll think of as the cost of the labor and machinery necessary...
Bus Econ 13.5.69 Question Help A company manufactures mountain bikes. The research department produced the marginal cost function C(x)-500-งิ 0sxs900 where C(x) is in dollars and x is the number of b...
Bus Econ 13.5.69 Question Help A company manufactures mountain bikes. The research department produced the marginal cost function C(x)-500-งิ 0sxs900 where C(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 600 bikes per month to 900 bikes per month. Set up a definite integral and evaluate it. The increase in cost is s Bus Econ 13.5.81 := Question Help Given the supply function p=S(x)...
Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function...
Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function of the form: q = 5LK+K+L where q is units per day, L is units of labor input and K is units of capital output. The marginal product of the two inputs are: MPL = 5K+1, MPK = 5L +1. Price per unit of labor: w= $15, price per unit of capital: v= $15. Both labor and capital are variable. a. Write down the...
5, (20 points) Consider the following cost function: c(q:F)-F +109 + 뚤, where F > 0 represents the fixed cost F = c(QF). (a) (5 points) Compute the marginal cost function, MC(q) (q; F) b) (5 points) Show that the marginal cost function MC() is increasing. (c) (10 points) Recall the average cost function, AC(q; F) - Find (F the value of q (given F) at which AC(q; F) MC(4)
Consider the two-bus lossless system shown in Figure Q6. The cost functions of the generators connected at buses A and B are, respectively, gB a) What is the Incremental (Marginal) Cost of production of each generator? 5% b) Assuming that the load is constant and inelastic, and that all energy is sold at its marginal cost of production, calculate the price of electricity at each bus, the production and the revenue of each generator, as well as payments of each...
Question 01. Consider the cost function C = 5,000 + 50. Q, where C denotes the total cost, and Q denotes the quantity produced. A. Complete the following table: (Hint: MC = AC/AQ) Quantity | Cost Fixed Cost Total Cost Average | Marginal Total Cost Cost 10 20 50 100 1000 B. Using the above table, plot average total cost and marginal cost. Cost Quantity C. Explain how you know that this firm has increasing returns to scale.
1 Economies of Scale Consider the total cost function (TC): TC(q) = 100+ 40 + 492 where q is output. 1.1 (10 points) Obtain the index of the extent of scale economies S = MCQ, where AC is average cost and MC is marginal cost. What is the value of this index when q = 2? Provide an intuitive interpretation for this number. 1.2 (10 points) Is there any range of production characterized by scale economies? At what production level...
1. Consider a firm that has the following CES production function: Q = f(L,K) = [aLP + bK°]!/p where p a. Derive the MRTS for this production function. Does this production function exhibit a diminishing MRTS? Justify using derivatives and in words. What does this imply about the shape of the corresponding isoquants? (10 points) b. What are the returns to scale for this production function? Show and explain. Explain what will happen to cost if the firm doubles its...
Problem 1: Isoquant, Isocost Cost Minimizing Approach to Factor Selection: Suppose that as part of the UNCCCC Paris Agreement Green New Deal Plan to rapidly reduce Greenhouse Gas Emissions (GHGs) and other local air pollutants, suppose the elected City Council of the City of K'jipuktuk (Halifax) puts into place a low GHG transport system. As part of the plan, K'jipuktuk Transit, has been electrifying and increasing the size of the city's Public Transit System. So, far to this end, suppose...
Bus Econ 13.5.69 Question Help A company manufactures mountain bikes. The research department produced the marginal cost function C(x)-500-งิ 0sxs900 where C(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 600 bikes per month to 900 bikes per month. Set up a definite integral and evaluate it. The increase in cost is s Bus Econ 13.5.81 := Question Help Given the supply function p=S(x)...
Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function of the form: q = 5LK+K+L where q is units per day, L is units of labor input and K is units of capital output. The marginal product of the two inputs are: MPL = 5K+1, MPK = 5L +1. Price per unit of labor: w= $15, price per unit of capital: v= $15. Both labor and capital are variable. a. Write down the...
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