Question

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 right MRTS = MP(Z1)/ MP(zz) A linear isoquant means MRTS is constant- a linear isoquant inputs are perfect substitutes. An L-shaped isoquant means MRTS cannot be defined at the kink -inputs are perfect compliments 3 types of returns to scale: increasing- on downward sloping portion of the LRAC constant on the flat portion of the LRAC and decreasing- on the upward sloping portion of the LRAC Conditional input demand functions: the demand for each input as a function of y, W1 and w2. There are no zs in these equations The slope of the isocost is w/W2 Two principles of cost minimization The cost minimizing input bundle is on the isoquant y F(z1 72). The MRTS is equal to w/w2 at the cost minimizing bundle slope of the isoquant slope of the isocost line MP(z1) / MP(Z2) - W,/W2 If the price of one input changes, the optimal combination of inputs will change. Total cost will change If goods are perfect substitutes, the optimal input mix will be a corner solution. When isoquants are convex, we get an interior solution

1 a) A fim has the production function y ZiZ and faces input prices w1 and w2 Derive the conditional input demand functions for both inputs. 1/2

b) If w, S5 and w2-$10, what is the minimum cost of producing 27 units of output?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
TUTORIAL2 Chapter 7 Part 1 Key Concepts and Equations: Production Isoquant: shows all combinations of input...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 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...

  • 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...

  • please show all work, thanks! Problems 1 a) A firm has the production function y =...

    please show all work, thanks! Problems 1 a) A firm has the production function y = 22212 and faces input prices W1 and w2. Derive the conditional input demand functions for both inputs. b) If W, = $5 and W2 = $10, what is the minimum cost of producing 27 units of output?

  • 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...

  • Problem 1: A firm has the following production function: min{x1, 2x2) f(x,x2)= A) Does this firm's technology exhibit c...

    Problem 1: A firm has the following production function: min{x1, 2x2) f(x,x2)= A) Does this firm's technology exhibit constant, increasing, or decreasing returns to scale? B) What is the optimality condition that determines the firm's optimal level of inputs? C) Suppose the firm wants to produce exactly y units and that input 1 costs $w per unit and input 2 costs $w2 per unit. What are the firm's conditional input demand functions? D) Using the information from part D), write...

  • Problem 1: Isoquant, Isocost Cost Minimizing Approach to Factor Selection: Suppose that as part of the...

    Problem 1: Isoquant, Isocost Cost Minimizing Approach to Factor Selection: Suppose that as part of the UNCCCC Paris Agreement Green New Deal Plan to rapidly reduce Greenhouse Gas Emissions (GHGs) and other local air pollutants, suppose the elected City Council of the City of K'jipuktuk (Halifax) puts into place a low GHG transport system. As part of the plan, K'jipuktuk Transit, has been electrifying and increasing the size of the city's Public Transit System. So, far to this end, suppose...

  • Kent sells lemonade in a competitive market on a busy street corner. His production function is...

    Kent sells lemonade in a competitive market on a busy street corner. His production function is F (L, K) = L(1/3)K(1/3) where output q is gallons of lemonade, K is the pounds of lemons he uses and L is the number of labour-hours spent squeezing them. The corresponding marginal products are MPL = 1L(−2/3)K(1/3)3 MPK = 1L(1/3)K(−2/3)3 Every pound of lemons cost r and the wage rate of lemon squeezers is w. (35 points) a. Prove that this production process...

  • 7. Assume that the long-run production function can be expressed as Q-SKL? Where Q is quantity...

    7. Assume that the long-run production function can be expressed as Q-SKL? Where Q is quantity of output, K is the quantity of capital and L is the quantity of labor. If capital is fixed at 10 units in the short run then the short-run production function is: Q=10KL b. Q=50KL? Q=10L? d. 0=50L Q=500KL 8. For a linear total cost function: a. MC will be downward sloping b. MC = AVC c. AVC is upward sloping and linear d....

  • Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function...

    Part 2: Short answer questions Question 1 (4 points): A sausage firm has a production function of the form: q = 5LK+K+L where q is units per day, L is units of labor input and K is units of capital output. The marginal product of the two inputs are: MPL = 5K+1, MPK = 5L +1. Price per unit of labor: w= $15, price per unit of capital: v= $15. Both labor and capital are variable. a. Write down the...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT