2-If you have the following production function Q=f( L,K), answer the following : 1. is this function iong or short run? 2. Draw TP! , MPL, APL. 3. Show the stages of the production. 4. Expiain the reiationship between ivMPL & APL. 5. When MPL=0, what does that mean ?
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- Ike's Bikes is a major manufacturer of bicycles. Currently, the company produces bikes using only one factory. However, it is considering expanding production to two or even three factories. The following table shows the company's short-run average total cost each month for various levels of production if it uses one, two, or three factories. (Note: Q equals the total quantity of bikes produced by all factories.) Number of Factories Q = 100 Q = 200 520 400 660 480 800 560 1 2 3 Average Total Cost (Dollars per bike) Q = 300 Q = 400 320 400 320 320 400 320 Q = 500 560 480 400 Q = 600 800 660 520 Suppose Ike's Bikes is currently producing 100 bikes per month in its only factory. Its short-run average total cost is $ per bike. Suppose Ike's Bikes is expecting to produce 100 bikes per month for several years. In this case, in the long run, it would choose to produce bikes using On the following graph, plot the three short-run average total cost curves (SRATC) for Ike's Bikes from the…ictions: (1) Use the tools provided 'AP' and 'MP' to draw the average product (AP) and marginal product (MP) curves. (2) To earn edit for this graph, you must plot all required points (L = 1, 2, 3, 4, 5, 6, 7, and 8) for each curve. Total Product Average and Marginal Product 20 Tools TP 15 AP MP 10 -5 1 2. 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 Labor input Labor input 8%%5品万刀的88899 Marginal and average productSuppose you have a linear optimization model where you are trying to decide which products to produceto maximize profit. Answer the following questions and be as specific as possible.(a) What does the additive assumption imply about the profit objective? (b) What does the proportionality assumption imply about the profit objective? (c) Can you think of any reasonable profit functions that would not be linear in the amounts of theproducts produced?
- 22.5 Recall that Touchie McFeelie's production function for comic books is .1J1/213/4. Suppose that Touchie can vary both jokes and cartoonists' labor. If old jokes cost $2 each and cartoonists' labor costs $18 per hour, then the cheapest way to produce comics books requires using jokes and labor in the ratio J/L= (a) 9. (b) 12. (c) 3. (d) 2/3. (e) X+ PC X4.0 Show Transcribed Text 000 please explain this question and the correct answer is 6. Thanks.matics for Business and Econ ourse Matheriatics for Businesss and Ecoromics(1) Given demandtincbion P-90.30) OFnd P. at OPlease don't copy ans Economics You are the owner of a motorbike company that currently has two different factories, an old one and a new one. The old factory uses an old technology that requires large amounts of labor to produce motorbikes. The production technology for the old firm is given by Fo(L) = m*L^1/2 . The new factory uses a much more modern production technology given by Fn(L) = n*L^1/2 . a. What are costs as a function of output for each individual factory? b. Suppose that you want to produce 1000 motorbikes. How many motorbikes will you produce at the old factory and how many will you produce at the new factory? c. Derive an expression for the total cost of producing y motorbikes (assuming that you always divide production between the factories in the optimal way). How does this cost function compare to the individual factory cost functions? d. It turns out that you can upgrade your old factory to make it just as efficient as the new factory. To pay…
- Write out an example Cobb-Douglas production function. Derive the signsfor the relationship between labor and output and for marginal product oflabor and labor, holding other inputs fixed. Explain with economic intuition.Which of tholowing statements is true? O An explicit cost is more important, dolar for dollar, than an implicit cost. An explicit cost is an actual cost an implicit cost is a theoretical cost. Economic costs include both explicit costs and implicit costs O Explicit costs are accounting costs, not economic costs, implicit costs are economic costs, not accounting cosAttempts: Average: /5 2. Inputs and outputs Frances's Performance Pizza is a small restaurant in Detroit that sells gluten-free pizzas. Frances's very tiny kitchen has barely enough room for the four ovens in which her workers bake the pizzas. Frances signed a lease obligating her to pay the rent for the four ovens for the next year. Because of this, and because Frances's kitchen cannot fit more than four ovens, Frances cannot change the number of ovens she usess in her production of pizzas in the short run. However, Frances's decision regarding how many workers to use can vary from week to week because her workers tend to be students. Each Monday, Frances lets them know how many workers she needs for each day of the week. In the short run, these workers are ▼ inputs, and the ovens are v inputs. Frances's daily production schedule is presented in the following table. Fill in the blanks to complete the Marginal Product of Labor column for each worker. Labor Output Marginal Product of…
- estions tu1et10r.07.099 O O Question 18 of 20 Which of the following statements is true? a. When marginal cost is below average cost, average cost rises; when marginal cost is above average cost, average cost falls. b. The marginal product is the output per unit of a variable input. c. When marginal productivity of a variable input is falling then marginal costs of production must be rising. d. Average variable cost and average fixed cost are U-shaped curves.Which of the following statements are TRUE? (a) (b) Capital (K) 20 16- 12 8- 4 T T 4 8 10 12 16 20 24 28 I and III I and IV 9 = 20 III and IV 9 = 50 O II and III Labor (L) Capital (K) 20 16- 12 8 6 4 9 = 35 I. Panel (a) illustrates constant returns to scale II. Panel (b) illustrates decreasing returns to scale III. Panel (a) illustrates increasing returns to scale IV. Panel (b) illustrates constant returns to scale 9 = 70 T T T T 4 8 10 12 16 20 24 28 Labor (L)Recall the production modelMax 10x s.t 5x < 40 x > 0 Suppose the firm in this example considers a second product that has a unit profit of $5 andrequires 2 hours of production time for each unit produced. Use y as the number of units ofproduct 2 produced.1. Show the mathematical model when both products are considered simultaneously.2. Identify the controllable and uncontrollable inputs for this model.3. Draw the flowchart of the input–output process for this model 4. What are the optimal solution values of x and y?5. Is the model developed in part (a) a deterministic or a stochastic model? Explain