2. Draw a simple isoquant/isocost diagram depicting a firm's optimal choice of labor and capital. Then, on the same diagram, show how a firm adjusts to an increase in the wage paid to labor (holding the rate paid to capital constant).

The firms's optimal choice of labor and capital occurs at the point where the slope of the iso cost line is equal to the slope of iso quant line. In the diagram above, AB represents the iso cost line of the producer and Q1 is the quantity of output produced. The optimum amount of labor and capital employed to produce Q1 units of output is equal to L* and K* because at the optimum point E1, the slope of iso cost line AB is equal to the slope of isoquant Q1.
With the increase in the price of labor, the iso cost line will pivot inwards to AB' and the new optimum occurs at point E2 where the amount of labor employed has decreased to L1* and the amount of capital employed has increased. Thus, increase in the wage rate has led to decline in the level of labor employed.
2. Draw a simple isoquant/isocost diagram depicting a firm's optimal choice of labor and capital. Then,...
15 09. 00 points) Suppose that a firm's cost per unit of labor (w) is $30 per day and its cost per a. Draw the isocost line for a total cost per day of s15,000. (Base case) and Draw the What are the maximum amount of K and L possibly used to produce 100 units? unit of capital (r) is $50 per day isoquant curve when this firm is producing efficiently, assuming output is 100 units b. If the price...
1. Consider the figure below illustrating an isoquant and isocost line for the ABC Fruit Company's production of guavas: x 6 a. [2 pts] Given the isocost line shown above, if the wage rate (w) is 2 and total cost is 12, what is the price of capital, r? b. [5 pts) Suppose that the marginal product of labor (MPL) = 6 and the marginal product of capital (MPK) = 3 at point A in the figure. At point B,...
a. In the graph, draw an isoquant for a production process in which Land K are perfect one- for-one substitutes. b. Assume the wage rate is greater than the rental rate for capital. In the graph, draw the firm's cost minimizing isocost line as a dashed line. c. Clearly indicate what the cost minimizing amount of labor L* and capital K* would be. Capital (K) Labor (L)
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...
1a.) The firm’s managers decide to use 5 workers and 2 pieces of capital to produce the optimal level of output for the firm. Suppose that optimal level of output is 100 units and that the rental cost of capital is $250 and the wage is $100. Show the corresponding isocost and isoquant, assuming that the isoquant is convex to the origin. b.) Now suppose that the wage of workers doubles. Show what would happen to the isocost line and...
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...
Suppose that in the isoquant-isocost diagram, with given relative factor prices, an ut combination of 10 units of capital and 30 units of labor yields an output 2 of 18 m of 120 units. Suppose that, for this firm, at the same relative factor a larger budget, an equilibrium input combination of 15 units of capital and 45 units of labor yields an output level of 160 units. Viewing these input-output relationships, an economist would say that, in its production...
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...
4. Consider a firm that uses both labor and capital in production. The price of capital is $20 per unit and the wage rate is $10 per hour Draw the firm's isocost line assuming a total production cost of $100. How steep is this line (that is, what is its slope)? Be sure to clearly label the axes. (3 points) Suppose the wage drops to $5 per unit. In which direction does the substitution effect change the firm's demand for...
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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...