Homework Answers
A firm’s profit is maximum when it produces maximum possible output from a given minimum possible cost. The Isocost line shows the input combination and the isoquant line shows the possible output combinations. A higher isocost line shows higher cost to the firm and a lower one shows lower cost to produce a given output. The firm can minimize its cost when it chooses to produce at a point where its isoquant touches the lowest isocost line.
b. on the isoquant that is on the lower isocost line that touches the isoquant.
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a firm can minimize cost by using the combination of
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A firm can minimize cost...
QUESTION 4 The slope of an isocost line shows: the ratio of the marginal revenue product...
QUESTION 4 The slope of an isocost line shows: the ratio of the marginal revenue product of the inputs. O the ratio of marginal product of the inputs. the marginal rate of technical substitution. the ratio of the input prices. the output elasticity of production. QUESTION 5 If the marginal product per dollar spent on capital is less than the marginal product per dollar spent on labor, then in order to minimize costs the firm should use less capital and...
1. Suppose a firm wants to minimize the costs associated with producing according to function: q...
1. Suppose a firm wants to minimize the costs associated with producing according to function: q = f(L,K) = [1/3,2/3, where w, the cost of labor, is 8 and r, the cost of capital, is 2. w a. Find the cost minimizing combination of labor and capital for producing 8 goods. How much will they cost to make? b. Illustrate your answer to part a with an isoquant/isocost drawing. c. Find the cost function C(8,2,q) (Note: go through the same...
2. Assume that a firm needs to produce 500 units of output and it has ability...
2. Assume that a firm needs to produce 500 units of output and it has ability to choose how much capital and labor to use as inputs. Firm's production function and marginal products of factors are 2VL, and MPK 100L ых 100K . Use this information to answer the following questions. In your computations keep at least three decimal places. (a) If initial wage w is $12.50 and rental rate of capital, r, is $17.50, find the cost-minimizing labor- capital...
Use the graph: Capital Isoquant 2 Isoquant 1 Isocost Labor 50 60 100 8. What is the MRTS between points A and B? 9....
Use the graph: Capital Isoquant 2 Isoquant 1 Isocost Labor 50 60 100 8. What is the MRTS between points A and B? 9. What is the MRTS between points B and C? 10. What is the slope of the isocost curve if wages=$300 a week and the rental price of capital is $300 per week? 11. Which isoquant curve represents higher output? 12. If Isoquant 1 represents output of 3000, what is the cost minimizing combination of inputs to...
2. Assume a firm can produce according to the production function: ? = ?(?, ?) =...
2. Assume a firm can produce according to the production function: ? = ?(?, ?) = ? + 3? Assume the wage, the cost of labor, is 6, and rent the cost of capital, is 12. What is the best combination of labor and capital to produce 12 units with? Illustrate your answer to part a with an isoquant/isocost drawing. If the wage decreased to $2, would this change how the firm will produce? If so, how? 3. Assume a...
Suppose a firm produces an output level according to the simple production function: Q = 5...
Suppose a firm produces an output level according to the simple production function: Q = 5 L K, which implies M P L = 5 K and M P K = 5 L. Further suppose a firm must pay labor (L) a wage rate (w) of $5 per unit, and the rental rate (r) on capital (K) is $25 per unit. A. Find the marginal rate of technical substitution. B. Write the equation for the isocost line. What is the...
Suppose a firm can use either Capital (K) or Labor (L) in a production process. The...
Suppose a firm can use either Capital (K) or Labor (L) in a production process. The firms Production function is given by Q = 5L + 15K. The price of Capital is $20 per unit and the price of Labor is $8 per unit. a) (4 points) What is the firm’s Total Cost function? TC(Q) = ____________________________ b) (8 points) Suppose the firm is producing 30 units of output (Q = 30). Using a graph, draw the firm’s isoquant for...
9. A firm uses capital and labor to produce a single output good. The production function...
9. A firm uses capital and labor to produce a single output good. The production function is given by F(K,L)=K^0.5L, where K is the amount of capital and L is the amount of labor employed by the firm. The unit prices of capital and labor are given by, respectively r=$5 and w=$6. Based on this information, characterize the optimal (output maximizing) allocation of inputs given that the firm decided to limit its total cost to $12,000. Illustrate your solution graphically:...
2. (12 total points) Suppose a firm can use either Capital (K) or Labor (L) in...
2. (12 total points) Suppose a firm can use either Capital (K) or Labor (L) in a production process. The firm's production function is given by Q = 5L + 15K. The price of Capital is $20 per unit and the price of Labor is $8 per unit. a) (4 points) What is the firm's Total Cost function? TC(Q)= b) (8 points) Suppose the firm is producing 30 units of output (Q = 30). Using a graph, draw the firm's...
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input...
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input quantities that yield the same level of output. Higher isoquant: higher level of output Marginal Rate of Technical Substitution: MRTS is the slope of the isoquant at any input combination. It tells us the rate at which we must increase the qty of input 2 per unit decrease in qty of input 1. MRTS diminishes as we move down the isoquant from left to...
QUESTION 4 The slope of an isocost line shows: the ratio of the marginal revenue product of the inputs. O the ratio of marginal product of the inputs. the marginal rate of technical substitution. the ratio of the input prices. the output elasticity of production. QUESTION 5 If the marginal product per dollar spent on capital is less than the marginal product per dollar spent on labor, then in order to minimize costs the firm should use less capital and...
1. Suppose a firm wants to minimize the costs associated with producing according to function: q = f(L,K) = [1/3,2/3, where w, the cost of labor, is 8 and r, the cost of capital, is 2. w a. Find the cost minimizing combination of labor and capital for producing 8 goods. How much will they cost to make? b. Illustrate your answer to part a with an isoquant/isocost drawing. c. Find the cost function C(8,2,q) (Note: go through the same...
2. Assume that a firm needs to produce 500 units of output and it has ability to choose how much capital and labor to use as inputs. Firm's production function and marginal products of factors are 2VL, and MPK 100L ых 100K . Use this information to answer the following questions. In your computations keep at least three decimal places. (a) If initial wage w is $12.50 and rental rate of capital, r, is $17.50, find the cost-minimizing labor- capital...
Use the graph: Capital Isoquant 2 Isoquant 1 Isocost Labor 50 60 100 8. What is the MRTS between points A and B? 9. What is the MRTS between points B and C? 10. What is the slope of the isocost curve if wages=$300 a week and the rental price of capital is $300 per week? 11. Which isoquant curve represents higher output? 12. If Isoquant 1 represents output of 3000, what is the cost minimizing combination of inputs to...
2. (12 total points) Suppose a firm can use either Capital (K) or Labor (L) in a production process. The firm's production function is given by Q = 5L + 15K. The price of Capital is $20 per unit and the price of Labor is $8 per unit. a) (4 points) What is the firm's Total Cost function? TC(Q)= b) (8 points) Suppose the firm is producing 30 units of output (Q = 30). Using a graph, draw the firm's...
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input quantities that yield the same level of output. Higher isoquant: higher level of output Marginal Rate of Technical Substitution: MRTS is the slope of the isoquant at any input combination. It tells us the rate at which we must increase the qty of input 2 per unit decrease in qty of input 1. MRTS diminishes as we move down the isoquant from left to...
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