A firm has the production function f(x, y) - 20x3/5 2/5. The slope of the firm's isoquant at the point (x, y) - (50, 70) is (pick the closest one) a.-1.50. O b.-2.10. O c.-0.71. O d.-0.36. O e.-0.67.
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- Cost curves Egidio Binaccio designed an ancestry app that allows people to connect with long lost Italian relatives. Egidio notices the following relationship between the number of hours he schedules and the number of downloads (sales) he gets. Below is a production function, for Egidios current company set up. NUMBER of LABOUR DOWNLOADS HOURS B) 10 C) 20 30 40 50 60 70 80 90 100 110 120 130 140 6.50 11.00 14.50 17.50 20.50 23.75 27.50 32.00 37.50 44.50 53.50 65.00 79.50 97.50 TVC TC MC AVC Suppose the firm can hire all the labour it would ever want at the going wage of $8 per labour-hour. The firm's total fixed costs are $64 per day. A) ATC Fill in the table showing total variable cost (TVC), total cost (TC), average variable cost (AVC), average total cost (ATC), and marginal cost (MC). [Remember: Marginal cost should be entered midway between rows of output.] On a graph with DOWNLOADS (per day) on the horizontal axis, draw the three "per-unit" cost curves, AVC, ATC, and MC. [Note…A firm has the production function f(x, y) = 20x1/5 y4/5. The slope of the firm's isoquant at the point (x, y) = (20, 40) is (pick the closest one) Select one: а. -3. b. -0.50. О с. -1.50. O d. -0.6. e. -0.25.A firm has the production function f(x,y) = 3x+2y. The slope of the firm's isoquant at the point (x, y) = (10,20) is A. -0.67 B. -2 C. -0.5 D. -1.5 E. -0.25
- Isoquant curves The Firm can trade two doctors for five gardeners and output remains constant What is the shape is the isoquant curve for the firm? (doctors on x axis) Find slope of curve at: (20,15) (5,25) (5,15)1. Suppose a chair manufacturer is producing in the short run (with its existing plant and equipment). The manufacturer has observed the following levels of production corresponding to different numbers of workers: NUMBER OF WORKERS NUMBER OF CHAIRS 10 2 18 3. 24 4 28 5. 30 28 6. 7 25 a. Calculate the marginal and average product of labor for this production function. b. Does this production function exhibit diminishing returns to labor? c. Explain intuitively what might cause the marginal product of labor to become negative.Suppose a chair manufacturer maintains the existing plant and equipment. The manufacturer has observed the following levels of production corresponding to different numbers of workers: Number of Workers Number of Chairs 1 10 2 18 3 24 4 28 5 30 28 7 25 a. Calculate the average and marginal product of labor for this production function. APL MPL - 1. 10 2 18 3 24 4 28 5 30 6 28 7 25 b. Does this production function exhibit diminishing returns to labor? Explain. c. Explain intuitively what might cause the marginal product of labor to become negative.
- Q1 It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake is sold for $4.90 each. (1) Make a table showing the cost of producing 20,40,60,80 and 100 cupcakes. (ii) Make a table showing the revenue from selling 20,40,60,80 and 100 cupcakes. (iii) Write an algebraic expression representing the cost C as a function of the number of cupcakes x that are produced. (iv) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold. (v) Graph both functions on the same coordinate axes. (vi) From your graph find coordinatae at which cost equals revenue. (vii) Using your graph, determine how many cupcakes need to be made to produce revenue of at least $1,029. How much profit is made for this number of cupcakes?Microeconomics - Production FunctionA firm produces shoes using labor (L) and machinery (K) as factors of production. Its production function is Q = K1/3 * L2/3. Answer:(a) is the marginal product of labor (MPL) decreasing?b) is the average product of labor (APL) decreasing?c) what is the relationship between the average product (AP) and marginal product (MP) curves?d) what type of returns to scale does Q exhibit?10. A firm has the production function f(x, y) = 60x45 yl/5. The slope of the firm's isoquant at the point (x, y) = (40, 80) is (pick the closest one) А. -0.50. В. -4. С. -0.25. D. -8. Е. -0.25.
- Paper:Mate: gorlain 15. A company is planning to manufacture mountain bikes. The fixed monthly cost will be $100,000 and it will cost $100 to produce each bicycle. Write the cost function, C, of producing x mountain bikes. а. b. Write the average cost function, C, of producing x mountain bikes. Find C(500), Č(4000). c. d. What is the horizontal asymptote for the graph of the average cost function, C? Describe what this means in practical terms. МАТ 171 Section 2.6 Lab Page 2 of 4The figure to the right illustrates the long-run average cost curve for a company that makes motors. Suppose the company produces & thousand moters per month. Is it experiencing economies of scale, diseconomies of scale, or constant returns to scale? If the company produces 4 theusand motors, then it experiences Average total cont 45.00 44.00 40 00 36.00 32.00 28.00 24.00 20.00 16.00 12:00 5.00 4.00 0.00 Long-nun average cost 4610 12 14 16 18 20 Quantity (motors per month in 1,000)Figure 2 shown below depicts a production function for a firm that produces cookies. As the number of workers increases, Output Labor Input (hours) 0 10 20 30 40 the marginal product increases but at a decreasing rate. marginal product increases. O total output increases, but at a decreasing rate O total output decreases