Question

In: Economics

If you have two inputs, labor and capital and you are using them at the least...

If you have two inputs, labor and capital and you are using them at the least cost combination point.  Describe what happens to the isocost line and the equilibrium least cost point when the cost of labor decreases.

Solutions

Expert Solution

Solution:

The slope of isocost line = price of labor/price of capital (price of labor is simply wage, the cost of labor)

When the cost of labor decreases, the slope of isocost line decreases, making the isocost line flatter. As the least cost combination occurs where isocost line is tangent to isoquant, which is the curve for production function, now with a flatter isocost line, new tangency would occur at a higher quantity of labor and lower quantity of capital.

New equilibrium least cost point, thus, would have a lower quantity of capital employed and a higher quantity of labor employed as the input mix.


Related Solutions

If you have two inputs, labor and capital and you are using them at the least...
If you have two inputs, labor and capital and you are using them at the least cost combination point. Describe what happens to the isocost line and the equilibrium least cost point when the cost of labor decreases.
Suppose there are two inputs in the production function, labor and capital, and these two inputs...
Suppose there are two inputs in the production function, labor and capital, and these two inputs are perfect substitutes. The existing technology permits 5 machines to do the work of 2 workers. So the production function is f(E, K) = 2K + 5E. The firm wants to produce q units of output, where q > 0 is some number. Suppose the price of capital is $10 per machine per hour. What combination of inputs will the firm use if the...
Consider a firm producing one output using two inputs, capital and labor. If the weak axiom...
Consider a firm producing one output using two inputs, capital and labor. If the weak axiom of revealed profit maximization holds, which of the conditions below describes the constraint implied by profit maximizing behavior across any two periods? 1. delta(p)delta(q) >= delta(w)delta(L) - delta(r)delta(K) 2. delta(p)delta(q) <= delta(w)delta(L) + delta(r)delta(K) 3. delta(p)delta(q) >= delta(w)delta(L) + delta(r)delta(K) 4. delta(p)delta(q) <= - delta(w)delta(L) + delta(r)delta(K)
Capital and labor are the only two inputs for the following production process. Capital is fixed...
Capital and labor are the only two inputs for the following production process. Capital is fixed at 4 units, which costs 50 dollars each unit per day. Workers can be hired for 100 each per day. Complete the following table and plot the marginal cost (MC), average total cost (ATC), average variable cost (AVC), average fixed cost (AFC) on the same graph. The quantity of labor input Total output per day AFC AVC ATC MC    0 0 1 100...
Suppose there are two inputs in the production function, labor and capital, which are substitutes. The...
Suppose there are two inputs in the production function, labor and capital, which are substitutes. The current wage is $10 per hour and the current price of capital is $25 per hour. Given the following information on the marginal product of labor and the marginal product of capital, find the firm’s profit-maximizing input mix (i.e. number of workers and units of capital) in the long-run. Show your work and explain. L MPL K MPK 1 125 1 130 2 100...
A firm uses two inputs, labor and capital, to produce a good. To keep up with...
A firm uses two inputs, labor and capital, to produce a good. To keep up with the story, let zℓ ≥ 0 denote the units of labor and zk ≥ 0 the units of capital. The firm’s technology is expressed as a production function f(zℓ, zk) = 20 z1/5 ℓ z3/5 k . Let w > 0 and r > 0 be the cost of hiring a unit of labor and a unit of capital, respectively. (a) Find the technical...
Consider a production function of two inputs, labor and capital, given by Q = (√L +...
Consider a production function of two inputs, labor and capital, given by Q = (√L + √K)2. Let w = 2 and r = 1. The marginal products associated with this production function are as follows:MPL=(√L + √K)L-1/2MPK=(√L + √K)K-1/2 a) Suppose the firm is required to produce Q units of output. Show how the cost-minimizing quantity of labor depends on the quantity Q. Show how the cost-minimizing quantity of capital depends on the quantity Q. b) Find the equation...
A firm uses two inputs in production: capital and labor. In the short run, the firm...
A firm uses two inputs in production: capital and labor. In the short run, the firm cannot adjust the amount of capital it is using, but it can adjust the size of its workforce. -- If the cost of renting capital increases, which of the following curves will be affected? (Check all answers that apply). -- Average variable cost Marginal cost Average fixed cost Average total cost 2 points    QUESTION 2 If the cost of hiring workers increases, which...
Consider the following production function using capital (K) and labor (L) as inputs. Y = 10.K0.5L0.5....
Consider the following production function using capital (K) and labor (L) as inputs. Y = 10.K0.5L0.5. The marginal product of labor is (MPL=) 5.K0.5/L0.5, and marginal product of capital (MPK) = 5.L0.5/K0.5.a. If K = 100 and L=100 what is the level of output Y?b. If labor increases to 110 while K=100, what is the level of output?c. If labor increases to 110 while K=100, what is the marginal product of labor?d. If labor increases to 120 while K=100, what...
Suppose two countries have labor inputs as represented in the table below. Based on the information...
Suppose two countries have labor inputs as represented in the table below. Based on the information in this table, country B has Country A B S 9 4 T 12 3 a.    absolute advantage in the production of both goods. b.    comparative advantage in the production of both goods. c.    absolute disadvantage in the production of S. d.    comparative advantage in the production of S. 4. According to the table, country A has comparative advantage in the production of a.   ...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT