Principles of Economics (12th Edition)
12th Edition
ISBN: 9780134078779
Author: Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher: PEARSON
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Chapter 7.A, Problem 3P
To determine
The total cost, units of labor, and capital demand.
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Chapter 7 Solutions
Principles of Economics (12th Edition)
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- Draw the isoquant map, be precise for at least one isoquant line, carefully determine the gaps between each level of output (i.e. show at least 3 gaps). You must show your work. f(K,L) = K2L2arrow_forward(1) q=35L + 40K (2) q=L.5K.5 a) For the production functions of (1) and (2) create the isoquants for q = 100, and for q = 144 with K on the vertical axis and L on the horizontal axis. (Use excel's scatter plot to draw these pictures. So, two pictures with two isoquants each.) b) Suppose that K is fixed at K = 9. Using excel draw the total product curves for equation (1). In a separate excel chart draw the marginal product and average product for K = 9 in equation (1). Give an explanation for the shapes of the total product, marginal product, and average product curve.arrow_forwardUsing the information from the isoquant/isocost diagram to the right and assuming that PL = P = $2, complete the table below. (Enter your responses as integers.) Output Units 100 200 300 Total Cost of Output $100 $ $300 Units of Labor Demanded 25 50 Units of Capital Demanded 4 50 75 Units of capital (K) 200 175- 150- 125- 8100- 75- 50- 25+ 0+ 0 25 50 9=100 9 200 100 125 150 q=300 75 Units of labor (L) 175 200 Q Qarrow_forward
- Comment briefly on the advantages and disadvantages of a “ratio scale”.Your answer should focus primarily on what you can learn from the two different versions of the chart.arrow_forwardIsoquant 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)arrow_forwardThe production function for hamburgers can be written as q = 0.1X + 0.1Y, where X is Canadian ground beef and Y is U.S. beef, both measured in pounds. Which graph in the figure best represents the isoquants for the hamburger production when U.S. ground beef is on the vertical axis and Canadian ground beef is on the horizontal axis?arrow_forward
- y= f(x1,x2)=x1ax2b Derive the equation for an isoquant curve. If a=b=0.5 , the price of factor 1 is 12, and the price of factor 2 is 3, find the cost minimizing input combinations and the total cost of producing 40 units of output.arrow_forwardusing an isoquant/isocost diagram explain the difference between diminishing returns to a variable factor and decreasing returns to a scalearrow_forwardMark launders his white clothes using the production function q=4B + G, where B is the number of cups of Clorox bleach and G is the number of cups of a generic bleach, where Clorox bleach is four times as potent. Use the line drawing tool to graph an isoquant for output of q = 20. Label this line 'isoquant'. Carefully follow the instructions above, and only draw the required object. What is the marginal product of B? The marginal product of B is (Enter a numeric response using an integer.) What is the marginal rate of technical substitution at each point on an isoquant? The marginal rate of technical substitution is along the isoquant. C G, Cups of generic bleach 22- 20- 18- 16- 14- 12- 10- 6- 4- 2- 0+ 0 2 4 B, Cups of Clorox bleach 6 LVarrow_forward
- Isoquant curves Gym requires exactly 3 bottles of water per athlete to maximise performance (athletes on horizontal) What is the shape is the isoquant curve? Find slope of cuve at: (20,15) (5,25) (5,15)arrow_forwardThe firm requires at least 2 units of good A or 4 units of good B in order to produce one unit of output Y. a) Describe this technology by mathematical function and draw the production function. b) Draw the isoquant that corresponds to 40 units of output Y.arrow_forwardYou have been hired by Kia as manager for its Pakistan operations. Assume following is the short-run production function at their assembly plant outside Karachi: Q = 10L^2 – 0.5L^3 where L is variable input labor, Q is output of Cars assembled a. Find the ranges of the three stages of production. b. Demonstrate the relationship between Total Production, Marginal Product and AverageProduct in a hypothetical graph and clearly label the three stages as per the values of Lyou observed in (a) above. c. At the end of the year it is expected that output will double with purchase ofnew equipment and machinery. The production function is estimated to be Q = 60L^.30K^.70 where L is labor and K is capital. Suppose initial L1 = 1 and K1 = 1. When inputs are in increased to L2 = 2 and K2 = 2, do you observe increasing, decreasing or constant returns to scale? d. Assume Kia Head Office is considering hiring more laborers either at their Gwadarplant or alternatively at the Karachi plant.…arrow_forward
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