a
To plot:
Graphical representation of isoquant and quantity of K and L.
a
Explanation of Solution
Since q = 40,000 has been produced with
In the above diagram, x-axis measures labor while y-axis measures capital, q represents isoquant of Large Mowers as depicted above.
Introduction:
Isoquant curve is a graphical representation showing the same level of output production with different combinations of inputs.
b)
To plot:
Graphical function of isoquant for small mower.
b)
Explanation of Solution
This diagram shows the plotting of q = 40,000, K = 8 and L = 8
In the above diagram, x-axis measures labor while the y-axis measures capital. Q represents isoquant of Small Mowers as depicted above.
Introduction:
Expansion path is a combination of optimal output when input changes due to prices.
c)
To know:
Quantities of K and L for different lawn divisions.
c)
Explanation of Solution
Production functions are given below:
When lawn is cut by 1st method:
When lawn is cut by 2nd method:
Total capital requirement = 9
Total labor requirement = 6.5
Production functions are given below:
When lawn is cut by 1st method:
When lawn is cut by 2nd method:
Total capital requirement = 9.5
Total labor requirement = 5.75
The fraction of K and L means the amount of capital input used per unit of labor.
This table shows the resources uses in the Large Mowers and Small Mowers.
40,000 sq.ft. | LM | SM | ||
LM/SM mix | L | K | L | K |
0/100$% | 0 | 0 | 8 | 8 |
25%/75% | 1.25 | 2.5 | 6 | 6 |
50%/50% | 2.5 | 5 | 4 | 4 |
75%/25% | 3.75 | 7.5 | 2 | 2 |
100%/0% | 5 | 10 | 0 | 0 |
Introduction:
Isoquant curve is a graphical representation showing the same level of output production with different combinations of inputs.
d)
To plot:
Graphical representation of isoquant.
d)
Explanation of Solution
Calculation of labor and capital when 40000 square foot of lawn is cut by 1st method with p fraction.
Calculation of labor and capital when (1-p) fraction of 40,000 square foot lawn is cut by 2nd method.
Calculation of labor requirement:
Calculation of total capital requirement:
Two equations are given as follows:
Solving first equation for p and putting the value of p in second as shown below:
The Table shows the different calculations of Labor (L) and capital (K) in Small Mowers as shown below:
40,000 sq.ft. | LM | |
LM/SM mix | L | K |
0/100$% | 8 | 8 |
25%/75% | 7.25 | 8.5 |
50%/50% | 6.5 | 9 |
75%/25% | 5.75 | 9.5 |
100%/0% | 5 | 10 |
Following graph is plotted from the given table shows the isoquant for the combined production function as shown below:
In the above diagram, x-axis measures labor while y-axis measures capital, q represents isoquant for the combined production function as depicted above.
Introduction:
Expansion path is a combination of optimal output when input changes due to prices.
Want to see more full solutions like this?
Chapter 9 Solutions
Bundle: Microeconomic Theory: Basic Principles and Extensions, 12th + MindTap Economics, 1 term (6 months) Printed Access Card
- answerarrow_forwardDiscuss the preferred deterrent method employed by the Zambian government to combat tax evasion, monetary fines. As noted in the reading the potential penalty for corporate tax evasion is a fine of 52.5% of the amount evaded plus interest assessed at 5% annually along with a possibility of jail time. In general, monetary fines as a deterrent are preferred to blacklisting of company directors, revoking business operation licenses, or calling for prison sentences. Do you agree with this preference? Should companies that are guilty of tax evasion face something more severe than a monetary fine? Something less severe? Should the fine and interest amount be set at a different rate? If so at why? Provide support and rationale for your responses.arrow_forwardNot use ai pleasearrow_forward
- For the statement below, argue in position for both in favor or opposed to the statement. Incompetent leaders can't be ethical leaders. Traditional leadership theories and moral standards are not adequate to help employees solve complex organizational issues.arrow_forwardpresentation on "Dandelion Insomnia." Poemarrow_forwardDon't used Ai solutionarrow_forward
- "Whether the regulator sells or gives away tradeable emission permits free of charge, the quantities of emissions produced by firms are the same." Assume that there are n identical profit-maximising firms where profit for each firm is given by π(e) with л'(e) > 0; π"(e) < 0 and e denotes emissions. Individual emissions summed over all firms gives E which generates environmental damages D(E). Show that the regulator achieves the optimal level of total pollution through a tradeable emission permit scheme, where the permits are distributed according to the following cases: Case (i) the firm purchases all permits; Case (ii) the firm receives all permits free; and Page 3 of 5 ES30031 Case (iii) the firm purchases a portion of its permits and receives the remainder free of charge.arrow_forwardcompare and/or contrast the two plays we've been reading, Antigone and A Doll's House.arrow_forwardPlease answer step by steparrow_forward
- Suppose there are two firms 1 and 2, whose abatement costs are given by c₁ (e₁) and C2 (е2), where e denotes emissions and subscripts denote the firm. We assume that c{(e) 0 for i = 1,2 and for any level of emission e we have c₁'(e) # c₂' (e). Furthermore, assume the two firms make different contributions towards pollution concentration in a nearby river captured by the transfer coefficients ε₁ and 2 such that for any level of emission e we have C₂'(e) # The regulator does not know the resulting C₁'(e) Τι environmental damages. Using an analytical approach explain carefully how the regulator may limit the concentration of pollution using (i) a Pigouvian tax scheme and (ii) uniform emissions standards. Discuss the cost-effectiveness of both approaches to control pollution.arrow_forwardBill’s father read that each year a car’s value declines by 10%. He also read that a new car’s value declines by 12% as it is driven off the dealer’s lot. Maintenance costs and the costs of “car problems” are only $200 per year during the 2-year warranty period. Then they jump to $750 per year, with an annual increase of $500 per year.Bill’s dad wants to keep his annual cost of car ownership low. The car he prefers cost $30,000 new, and he uses an interest rate of 8%. For this car, the new vehicle warranty is transferrable.(a) If he buys the car new, what is the minimum cost life? What is the minimum EUAC?(b) If he buys the car after it is 2 years old, what is the minimum cost life? What is the minimum EUAC?(c) If he buys the car after it is 4 years old, what is the minimum cost life? What is the minimum EUAC?(d) If he buys the car after it is 6 years old, what is the minimum cost life? What is the minimum EUAC?(e) What strategy do you recommend? Why? Please show each step and formula,…arrow_forwardO’Leary Engineering Corp. has been depreciating a $50,000 machine for the last 3 years. The asset was just sold for 60% of its first cost. What is the size of the recaptured depreciation or loss at disposal using the following depreciation methods?(a) Straight-line with N = 8 and S = 2000(b) Double declining balance with N = 8(c) 40% bonus depreciation with the balance using 7-year MACRS Please show every step and formula, don't use excel. The answer should be (a) $2000 loss, (b) $8000 deo recap, (c) $14257 dep recap, thank you.arrow_forward
- Principles of Economics 2eEconomicsISBN:9781947172364Author:Steven A. Greenlaw; David ShapiroPublisher:OpenStaxMicroeconomics: Principles & PolicyEconomicsISBN:9781337794992Author:William J. Baumol, Alan S. Blinder, John L. SolowPublisher:Cengage Learning
- Exploring EconomicsEconomicsISBN:9781544336329Author:Robert L. SextonPublisher:SAGE Publications, Inc