Cost per unit لایا I ن Output per period Refer to Exhibit 7.4, which shows short-run average cost curves. For output more than qb, when is average cost the lowest?
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- Use the information in the graph to the right to find the values for the following at an output level of 35. 100 The marginal cost is S (Enter a numenc response using an integer.) MC ATC AVC 54 38 -- 17 35 PostEmco Company has an assembly line of fixed size A. Total output is a function of the number of workers (crew size) as shown in the following schedule: Crew Size Total Output No. of Workers) (No. of Units) 1 10 2 35 3 50 4 56 5 59 6. 60 7 60 8 58 Determine the following schedules: |(a) Marginal productivity of labor (b)Average productivity of labor (c) Elasticity of production with respect to labor (d) Draw and Show relationship MP, & APEmco Company has an assembly line of fixed size A. Total output is a function of the number of workers (crew size) as shown in the following schedule: Crew Size Total Output (No. of Workers) (No. of Units) 0 0 1 10 2 35 3 50 4 56 5 59 6 60 7 60 8 58 Determine the following schedules: (a) Marginal productivity of labor (b) Average productivity of labor (c) (d) Elasticity of production with respect to labor Draw and Show relationship MPL & APL
- A firm uses a single input to produce a commodity according to itsshort-run production function f(x) = 4√x, where x is the number of units ofinput. The commodity sells for $100 per unit. The input cost $50 per unit.(a) Write down a function that states the firm’s profit as a function ofthe amount of input.(b) What is the profit maximizing amount of input and output?(c) Suppose the firm is taxed $20 per unit of its output and the priceof its input is subsidized by $10, explain in detail how this will affect the newinput and output levels?0.8₁ A firm's production function is given by Q = 40K0.8L0.2 Each unit of capital costs $40 and each unit of labour costs $80. (a) Find the maximum level of output if the total input costs are $400,000. (b) Estimate the increase in production if an addtional $5,000 is made available. (c) Show that the ratio of marginal product to price is the same for both inputs. (a) Maximum output Q = (Round to the nearest integer as needed.)swered Costs per Unit (dollars) 1000 900 800 700 600 500 400 300 200 100 0 4 Average total cost B Marginal cost Output (units per day) Average variable cost Average fixed cost 22 24 How many units of output should be produced per day if the price of the product is $600/unit? (provide an approximate answer in whole numbers)
- Assume that it costs a company approximately C(x) = 400,000 + 160x + 0.002x2 dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) = C(10,000) = $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. The marginal cost from (a) is --Select--- v than the average cost from (b). This means that the average cost is ---Select--- v at a production level of 10,000 smartphones. Need Help? Watch Itshow calculations A wheat seed dealer has a cost function: C = 100 + 20Q +Q2. Inverse demand is: P = 620 -2Q. Maximum profit is: A. 38,400 B. 36,200 C. 39,200 D. 29,900 Handwritten solution not required correct answer will get instant upvote.The difference between ATC and AVC decreases with decrease in level of output.
- Assume that it costs a company approximately C(x) = 400,000 + 180x + 0.001x² dollars to manufacture x smartphones in an hour. (a) Find the marginal cost function. Use it to estimate how fast the cost is increasing when x = 10,000. $ per smartphone Compare this with the exact cost of producing the 10,001st smartphone. The cost is increasing at a rate of $ per smartphone. The exact cost of producing the 10,001st smartphone is $ Thus, there is a difference of $ (b) Find the average cost function C and the average cost to produce the first 10,000 smartphones. C(x) C(10,000) $ (c) Using your answers to parts (a) and (b), determine whether the average cost is rising or falling at a production level of 10,000 smartphones. The marginal cost from (a) is ---Select--- O than the average cost from (b). This means that the average cost is ---Select--- O at a production level of 10,000 smartphones.In the long run, the firm should use plant size "C" forEliza works in a diner and creates luscious pies. She has the following average total cost schedule (see the picture below): H Quantity of Pies Produced 600 601 Average Total Cost in HongKong Dollars 300 301 The current level of production of Eliza is 600 (six-hundred) pies, which all have been sold. A customer desperately texted you that they wanted to buy one of her pies. They offer 550 HK$. Should Eliza accept the offer? If not, why?
