### Question 13 (5 pts)For the production function $ y = 4x_1 + 3x_2 $, which of the two inputs is more productive when $ x_1 $ is 10 and $ x_2 $ is 10?- $ x_1 $- $ x_2 $- neither; for this situation, they have equal marginal products- cannot tell from the above information### Question 14 (5 pts)Given the production function $ y = x_1^{1/3} x_2^{1/3} $, what is the marginal physical product of $ x_2 $ when $ x_1 $ is 5 and $ x_2 $ is 5?- 0.75- 37- 0.19- 1.11

y = 4x1 + 3x2 Differentiate y w.r.t x1 to get the marginal product of x1 =>MP1 = dy / dx1 =>…

Answered: For the production function y = 4x1+…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Q2
Which of the following production functions exhibits increasing returns to scale? OA. AY=k1/2 1/2 O B. Y=K°L1-a O.Y=k1/3L 2/3 O D. Y=K1/2L 3/4 O E. Y=K1/3L 1/3
69 O Completed 17 out of 20 Question 7 of 20 Because P> MR, which equation applies to the value of a firm's marginal product? O VMPL = MRPL O VMPL > MRPL O MRPL = VMPL O VMPL < MRPL LAPTOP LOGIN acer r USERNAME: student PASSWORD: Broward1 TravelMate B F8 F10 F11 95
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A firm's production function takes the form: Q(L, K) = min{2L, 3K}, where Q represents output and L and K represent labour and capital, respectively and where w and r give the prices of labour and capital. Assuming no other costs, what would be the marginal cost if the firm increased output by 1 unit? O O MC = Q [ 12/2₁ = Q ( + 1/2 + 1/2 ) MC = W 3r 3w+2r 3w+2r + O MC=3w+2r O W r = 21/1/2+1/1/3/2 O MC =2w+3r MC=1/2
Consider the production function from earlier: Quantity of Haircuts 20 15 10 0+0 0 N 2 8 14 O Increasing marginal productivity O Constant marginal productivity O Decreasing marginal productivity 3 19 23 Labor (hours) 27 26 Total Product Curve From 1 labor hour up to 7 labor hours, what sort of marginal productivity does this production function have?
QUESTION 39 The folllowing table shows data for a simple production function. Capital (K). Labor (L) 10 0 10 1 10 2 3 4 5 6 10 10 10 10 TP or Q AP MP 6 14 20 14 8 Assume that the cost of capital, PK, is $50 per unit, and the cost of labor, PL, is $100 per unit. Marginal cost, MC, is at minimum when labor, L, is equal to O2 units. O4 units. O 3 units. 5 units.
Let's assume that a firm produces 60 products. Its total weekly cost (TC) at this output is $2,100. This includes TVC and TFC. We also know that the firm employs 3 part- time workers at a wage cost of $600 per worker per week. This is the firm's only variable cost (TVC). What is the firm's average fixed cost (AFC) at this output? O $2.50. O $2. O $5. O $100. O $10. Let's assume that a firm's total weekly costs are as follows: 1. Salaries of hired workers $5,000. 2. Supplies = $1,000. 3. Rent = $600, 4. The owners have invested a certain amount of their own money into the business. This could have earned them interest of $200 per week if they had chosen to put it into a bank instead of investing it into their business. 5. The value of the owner's time is estimated to be $800 per week. What are the firm's total economic costs? O $6.000 O $7.600. O $900. $7.500. O $6.700.
1. Assume a daily production function for a firm is Q= min(3L, 4K) a, If L = 100 and K = 100 what quantity is produced? Explain why. b. What would be the cost-minimizing labor and capital combination for this firm to produce Q = 1200? (show your work) Labor = Capital = At this level of production from part b (Q-1200), if the wage rate is: w- $30 and the rental rate of capital is: r= $100, what is the total cost of production? (show your calculations) C.
Bozo is a clown. He wants to start a clowning business where he sends other clowns out to birthday parties. Use the graph to Birthday parties answer the questions. 20 19 18 17 16 15 14 13 12 What is the marginal product of the third worker? O 2 11 10 6. 8. 7. 3.0 9. 3. 2. I 2 3 9 10 4 56 8. This production function demonstrates Workers diminishing marginal costs. a negative marginal product of labor. diminishing marginal returns to labor. diminishing output.
13. Suppose you have a production technology given by f(x1, x2) = min{2x₁, x2} and you are producing at the point where x₁ = 10 and x₂ = 20. (a) Explain in words what we mean (generally) by the ‘marginal product' of an input in production. (b) For the production technology in this question and the initial point x₁ = 10 and x2 = 20, what is the marginal product of a small increase in input 1? (c) Suppose input 2 increases and you are now at the initial point x₁ = 10 and x2 = 30. Relative to your answer in part (b), does the marginal product of input 1 decrease, increase, or stay constant? Explain briefly.

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