Homework Answers
8. Here MRTS is the ratio between change in capital to change in labour. Between points A and B, the change in capital is -20( 80-100) and change in labour is 10 (60-50). Therefore MRTS = -20/10= 2.
9. Between points B and C the change in capital is -10(70-80) and change in labour is 40(100-60). Therefore the MRTS= -10/40=0.25.
10. Slope of isocost curve is the ratio of price of labour to price of capital i.e ratio of wages to rental price of capital. Here the slope of isocost curve is 300/300=1.
11. Higher isoquants represents higher output. Hence the isoquant 2 represents higher output.
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Use the graph: Capital Isoquant 2 Isoquant 1 Isocost Labor 50 60 100 8. What is the MRTS between points A and B? 9....
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...
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...
The following graph illustrates various cost lines (aka isocost lines), where units of labor are measured...
The following graph illustrates various cost lines (aka isocost lines), where units of labor are measured along the horizontal axis, units of capital are measured along the vertical axis. Assume the wage rate is $20 per unit of labor and the rental rate is $100 per unit of capital. - Isocost Lines (ICL) Units of Capital ICL3 ICL ICL 500 1 000 1 500 Units of Labor 2 000 2 500 3 000 Figure Description: Units of labor are measured...
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...
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...
The following graph shows the isoquant representing the combinations of capital and labor needed to produce...
The following graph shows the isoquant representing the combinations of capital and labor needed to produce 10 left-handed can openers. Assume that diminishing marginal returns characterize the production function. (Hint: click a point on the graph to see its coordinates.) 500 450 400 360 300 LABOR (Workers) 260 + 200 160 + * 100 50 o 12 3 18 15 o 21 Using the information provided on the graph, complete the following table with the changes in capital and labor...
#3 3. The isoquant map for a firm that produces output with labor and capital is shown on the next page. The price...
#3
3. The isoquant map for a firm that produces output with labor and capital is shown on the next page. The price of labor is $20 per unit and the price of capital is $60 per unit. a) Draw the isocost lines for expenditures of TC =$300 and TC -$360. b) How many units of labor and how many units of capital should the firm hire to minimize the cost of producing Q. units of output? EXPLAIN. c) What...
1. Sketch the production isoquant for a production function that takes two inputs (e.g. y = f[l,k]). Show the cost minim...
1. Sketch the production isoquant for a production function that takes two inputs (e.g. y = f[l,k]). Show the cost minimizing combination of inputs by adding an isocost line to your sketch. (a) What is the relationship between the trs and the relative price of one input compared to the other at the cost minimizing combination of inputs? (b) What does the assumption of a diminishing technical rate of substitution (trs) mean? (What does a diminishing trs mean imply for...
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...
1. Suppose the production of digital cameras is characterized by the production function q F(K, L)- KL (MPL = K, MPK = L), where q represents the number of digital cameras produced. Suppose that...
1. Suppose the production of digital cameras is characterized by the production function q F(K, L)- KL (MPL = K, MPK = L), where q represents the number of digital cameras produced. Suppose that the price of labor is $10 per unit and the price of capital is S1 per unit. (a) Graph the isoquant for q-121 000. (b) On the graph you drew for part a), draw several isocost lines including one that is tangent to the isoquant you...
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...
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...
The following graph illustrates various cost lines (aka isocost lines), where units of labor are measured along the horizontal axis, units of capital are measured along the vertical axis. Assume the wage rate is $20 per unit of labor and the rental rate is $100 per unit of capital. - Isocost Lines (ICL) Units of Capital ICL3 ICL ICL 500 1 000 1 500 Units of Labor 2 000 2 500 3 000 Figure Description: Units of labor are measured...
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...
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...
The following graph shows the isoquant representing the combinations of capital and labor needed to produce 10 left-handed can openers. Assume that diminishing marginal returns characterize the production function. (Hint: click a point on the graph to see its coordinates.) 500 450 400 360 300 LABOR (Workers) 260 + 200 160 + * 100 50 o 12 3 18 15 o 21 Using the information provided on the graph, complete the following table with the changes in capital and labor...
#3
3. The isoquant map for a firm that produces output with labor and capital is shown on the next page. The price of labor is $20 per unit and the price of capital is $60 per unit. a) Draw the isocost lines for expenditures of TC =$300 and TC -$360. b) How many units of labor and how many units of capital should the firm hire to minimize the cost of producing Q. units of output? EXPLAIN. c) What...
1. Suppose the production of digital cameras is characterized by the production function q F(K, L)- KL (MPL = K, MPK = L), where q represents the number of digital cameras produced. Suppose that the price of labor is $10 per unit and the price of capital is S1 per unit. (a) Graph the isoquant for q-121 000. (b) On the graph you drew for part a), draw several isocost lines including one that is tangent to the isoquant you...
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