Solve all of the following questions please? : Perpetual plastic plant makers cost $200 each. The number of plants that your firm expects to produce each year for each level of capital stock is as follows:

Machines: 0 1 2 3 4 5

Plant Production: 0 250 400 500 565 600

The plants sell for $1 each and your firm faces no other costs. The real interest rate is 10% and the depreciation rate of capital is 15%. There is a 20% tax on your firm's revenues from selling these plants. Use these numbers to answer the following 4 questions: 1. What is the firm's tax-adjusted user cost of capital? 2. What is the marginal product of capital for the fourth machine? 3. How many machines should the firm buy? 4. What is the profit after deducting taxes, interest, and depreciation?

In a small open economy

Sd = $20 billion + ($100 billion)?r

Id = $30 billion - ($100 billion)?r

Y = $70 billion

G = $20 billion

r w = 0.04

5. Calculate the current account balance.

6. Calculate net exports.

7. Calculate desired consumption.

8. Calculate absorption.

A country has the per-worker production function yt = 5kt 0.5, where yt is output per worker and kt is the capital-labour ratio. The depreciation rate is 0.2 and the population growth rate is 0.05. The saving function is St = 0.2yt, where St is total national saving and Yt is total output.

9. What is the steady-state value of the capital-labour ratio?

10. What is the steady-state value of output per worker?

11. What is the steady-state value of consumption per worker?

[4/7, 08:49] Kiprutoh: (Cauchy dissemination.) An arbitrary variable X with thickness ? co 0

1 a f(x) = 1r a2 ?/7)2

is said to have a Cauchy dissemination with boundaries an and b. This dispersion is fascinating in that it gives an illustration of a constant irregular variable whose mean doesn't exist. Let a = 1 and b = 0 to acquire an exceptional instance of the Cauchy conveyance with thickness 1 f(x) = 1 + x= - co

Question 10

Let Xdenote the measure of time in hours that a battery on a sunlight based adding machine will work enough between openings to light adequate to re-energize the battery. Accept that the thickness for X is given by .f(x) = (5016)x-3 2

(b) Discover the articulation for the aggregate circulation work for X, and use it to discover the likelihood that an arbitrarily chosen sunlight based battery will last all things considered 4 hours prior to waiting be re-energized.

(c) Figure out the normal time that a battery will last prior to waiting be re-energized.

(d) Discover E[X2], and utilize this to discover the fluctuation of X.

Question 11

Accept that the increment sought after for electric force in great many kilowatt hours throughout the following 2 years in a specific zone is an irregular variable whose thickness is given by KO= (1/64),0 0

(b) Discover the articulation for the total dispersion for X, and use it to discover the likelihood that the interest will be all things considered 2 million kilowatt hours.

(c) If the territory just has the ability to create extra 3 million kilowatt hours, what is the likelihood that request will surpass supply?

(d) Track down the normal expansion sought after.

Question 12

The mass thickness of soil is characterized as the mass of dry solids per unit mass volume. A high mass thickness suggests a minimized soil with not many pores. Mass thickness is a significant factor in affecting root advancement, seedling development, and air circulation. Allow X to mean the mass thickness of Pima earth soil. Studies show that X is typically dispersed with p = 1.5 and a = .2 g/cm3. (a) What is the thickness for X? Sketch a chart of the thickness work. Show on this chart the likelihood that X lies somewhere in the range of 1.1 and 1.9. Discover this likelihood.

(b) Discover the likelihood that a haphazardly chosen test of Pima earth soil will have mass thickness under .9 g/cm3.

(c) Would you be shocked if an arbitrarily chosen test of this sort of soil has a mass thickness in overabundance of 2.0 g/cm3? Clarify, in view of the likelihood of this happening.

(d) What point has the property that lone 10% of the dirt examples have mass thickness this high or higher?

(e) What is the second creating capacity for .X?

Q: Which of the following Is a primary activity In a firm value chain? Ans: Marketing & Sales 1. Marketing & sales Reason: Marketing & sales is the primary activity of the value chain for the firm because it helps to influence the customer and generate business for the organizations directly. 2. Finance Reason: Finance isn't a primary activity for the value chain because it provides support to the primary activities like operations, logistics, and marketing of the product. 3. Accounting Reason: Accounting isn't a primary activity for the value chain because it provides support to the primary activities like information about the cost of the product, profit, and sales records, etc. 4. Human Resource Reason: Human Resource isn't a primary activity for the Value chain because it provides support to the primary activities like providing employees for each department for achieving business objectives. All the very best, take care