Answer: (a) $197,500
(b) $ 189,500
Explanation:
Given : The marginal cost function : 
To find the cost function, we need to integrate the above function with respect to x.
Now, the additional cost incurred in dollars when production is increased from 100 units to 150 units will be:-
![\int^{150}_{100}\ C'(x)\ dx\\\\=\int^{150}_{100} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{150}_{100}\\\\=[4000(150)-\dfrac{0.4(150)^2}{2}-4000(100)+\dfrac{0.4(100)^2}{2}]\\\\=[600000-4500-400000+2000]\\\\=197500](https://tex.z-dn.net/?f=%5Cint%5E%7B150%7D_%7B100%7D%5C%20C%27%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B150%7D_%7B100%7D%20%284000-0.4x%29%5C%20dx%5C%5C%5C%5C%3D%5B4000x-%5Cdfrac%7B0.4x%5E2%7D%7B2%7D%5D%5E%7B150%7D_%7B100%7D%5C%5C%5C%5C%3D%5B4000%28150%29-%5Cdfrac%7B0.4%28150%29%5E2%7D%7B2%7D-4000%28100%29%2B%5Cdfrac%7B0.4%28100%29%5E2%7D%7B2%7D%5D%5C%5C%5C%5C%3D%5B600000-4500-400000%2B2000%5D%5C%5C%5C%5C%3D197500)
Hence, the additional cost incurred in dollars when production is increased from 100 units to 150 units= $197,500
Similarly, the additional cost incurred in dollars when production is increased from 500 units to 550 units :-
![\int^{550}_{500}\ C'(x)\ dx\\\\=\int^{550}_{500} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{550}_{500}\\\\=[4000(550)-\dfrac{0.4(550)^2}{2}-4000(500)+\dfrac{0.4(500)^2}{2}]\\\\=[2200000-60500-2000000+50000]\\\\=189,500](https://tex.z-dn.net/?f=%5Cint%5E%7B550%7D_%7B500%7D%5C%20C%27%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B550%7D_%7B500%7D%20%284000-0.4x%29%5C%20dx%5C%5C%5C%5C%3D%5B4000x-%5Cdfrac%7B0.4x%5E2%7D%7B2%7D%5D%5E%7B550%7D_%7B500%7D%5C%5C%5C%5C%3D%5B4000%28550%29-%5Cdfrac%7B0.4%28550%29%5E2%7D%7B2%7D-4000%28500%29%2B%5Cdfrac%7B0.4%28500%29%5E2%7D%7B2%7D%5D%5C%5C%5C%5C%3D%5B2200000-60500-2000000%2B50000%5D%5C%5C%5C%5C%3D189%2C500)
Hence, the additional cost incurred in dollars when production is increased from 500 units to 550 units = $ 189,500
Answer:
Y=38.8
Y will increase by 38.8
Y=246+38.8
Y=284.8
Explanation:
Y=A. F(K, L)
Y=A. K^0.3, L^0.7
Then
Y=246
A=1
K=2000
N or L=100
Solutions
200=1(2000^0.3, 100^0.7)
Now the question says both k & N are increased by 0.20
Therefore
Y=1(2400^0.3, 120^0.7)
Y=1(10.3 + 28.5)
Y=38.8
Answer:
8%
Explanation:
Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested
IRR can be calculated with a financial calculator
Cash flow in year 0 = $-300
Cash flow each year from year 1 to 4 =
× $300 = $24
Cash flow in year 5 = $300 + 24 = $324
IRR = 8%
To find the IRR using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. After inputting all the cash flows, press the IRR button and then press the compute button.
Answer:
b. A truck held for resale by an automobile dealership
Explanation:
Property plant and equipment are physical or tangible assets used by an organization in the ordinary course of business. They include Land and building used in ordinary business operations, plant and machinery used in production, Land improvements, such as parking lots and fences etc. Such assets are usually depreciated as they are used and in accordance with the organization's policy. However, assets held for sale are not used by the organization in the ordinary course of business rather, the company holds them till such assets are sold. No depreciation is computed on the assets held for sale. Hence, from the options given, a truck held for resale by an automobile dealership is the only item held for sale and does not qualify for recognition as property plant and equipment. The right answer is b.
Answer:
The correct answer is letter "C": the equilibrium level of employment reached after all wages and prices have fully adjusted.
Explanation:
Full Employment is a situation in which all available human resources are utilized at their highest degree. Each worker is in a job where that worker has his or her more productive use and benefit to the aggregate economy. Full employment is usually achieved in a robust economy when employment reaches its equilibrium point after wages and price adjustments, but can potentially be achieved in any economy.