Question

1. Suppose a short-run production function is described as Q = 2L – (1/800)L2 where L...

1. Suppose a short-run production function is described as Q = 2L – (1/800)L2 where L is the number of labors used each hour. The firm’s cost of hiring (additional) labor is $20 per hour, which includes all labor costs. The finished product is sold at a constant price of $40 per unit of Q.

a. How many labor units (L) should the firm employ per hour:

b. Given your answer in a, what is the output (Q) per hour:

c. Given your answer in b, what is the resulting profit per hour assuming only labor costs?

d. Suppose that labor costs remain unchanged but that the price received per unit of output increases to $50. How many labor units (L) will the firm now employ?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Suppose a short-run production function is described as Q = 2L – (1/800)L^2 where L...
1. Suppose a short-run production function is described as Q = 2L – (1/800)L^2 where L is the number of labors used each hour. The firm’s cost of hiring (additional) labor is $20 per hour, which includes all labor costs. The finished product is sold at a constant price of $40 per unit of Q. a. How many labor units (L) should the firm employ per hour b. Given your answer in a, what is the output (Q) per hour...
Suppose a short-run production function is described as Q = L – (1/400)L2where L is the...
Suppose a short-run production function is described as Q = L – (1/400)L2where L is the number of labors used each hour. The firm’s cost of hiring (additional) labor is $16 per hour, which includes all labor costs. The finished product is sold for $40 per unit of Q. c. How many labor units(L) should the firm employ per hour if they want to maximize profit?    L = 120 f. Suppose that the price of the product is unchanged...
1. Suppose a short-run production function is described as Q = 30L - 0.05L^2 where L...
1. Suppose a short-run production function is described as Q = 30L - 0.05L^2 where L is the number of labors used each hour. a. Derive the equation for Marginal Product of Labor b. Determine how much output will the 200th worker contribute: c. Determine the amount of labor (L) where output (Q) is maximized (known as Lmax): d. If each unit of output (Q) has a marginal revenue (price) of $5 and the marginal cost of labor is $40...
A firm’s production function is: Q = 6K1/3 L2/3. Suppose that capital is fixed at 125...
A firm’s production function is: Q = 6K1/3 L2/3. Suppose that capital is fixed at 125 units. If the firm can sell its output at a price of $200 per unit, hire labor at $20 a unit, and rent capital at $40 a unit, how many units of labor should the firm hire to maximize profits?Given your answer, what is the level of output that maximizes profits? Lastly, calculate the level of profits at the profit-maximizing level of labor and...
A firm produces an output with the production function Q=K*L2, where Q is the number of...
A firm produces an output with the production function Q=K*L2, where Q is the number of units of output per hour when the firm uses K machines and hires L workers each hour. The marginal product for this production function are MPk =L2 and MPl = 2KL. The factor price of K is $1 and the factor price of L is $2 per hour. a. Draw an isoquant curve for Q= 64, identify at least three points on this curve....
Suppose a firm’s long-run production function is given by Q=K^0.25 L^0.25 ,where K is measured in...
Suppose a firm’s long-run production function is given by Q=K^0.25 L^0.25 ,where K is measured in machine-hours per year and L is measured in hours of labor per year. The cost of capital (rental rate denoted by r) is $1200 per machine-hour and the cost of labor (wage rate denoted by w) is $12 per hour. Hint: if you don’t calculate the exponential terms (or keep all the decimals when you do), you will end up with nice numbers on...
Consider a firm with the production function f(K,L)=(K1/4)(L2/4). In the short run, the firm has rented...
Consider a firm with the production function f(K,L)=(K1/4)(L2/4). In the short run, the firm has rented 25 units of capital. The firm is a price taker in both the output market and labor market, facing an output price of 11 and a market wage of 5 per hour. Rounded to the nearest tenth, how many hours of labor will the firm hire? (Make sure your answer only has 1 decimal before submitting!)
A firm’s production function is Q = min(K , 2L), where Q is the number of...
A firm’s production function is Q = min(K , 2L), where Q is the number of units of output produced using K units of capital and L units of labor. The factor prices are w = 4 (for labor) and r = 1 (for capital). On an optimal choice diagram with L on the horizontal axis and K on the vertical axis, draw the isoquant for Q = 12, indicate the optimal choices of K and L on that isoquant,...
A firm produces good X and has a production function X = 2L^0.25K^0.25, where L and...
A firm produces good X and has a production function X = 2L^0.25K^0.25, where L and K are the inputs. Assume that the price of L is $6 and the price of capital is $12. Let the firm have a target output of X1 units. a. Find the firm’s conditional demand for labor and capital. b. Find the firm’s total cost function. c. What is the firm’s marginal cost?
Suppose a firm’s production function is given by Q = L 1/2 , K 1/2. a)...
Suppose a firm’s production function is given by Q = L 1/2 , K 1/2. a)   Suppose the firm has a fixed cost FC=6, the price of labor is w = 64 and the price of capital is r = 4. Derive the firm’s total cost function, TC(Q). b)   What is the firm’s marginal cost? c)   Graph the firm’s isoquant for Q = 20 units of output. On the same graph, sketch the firm’s isocost line associated with the total...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT