Help me answer the following questions correctly.,,,

I. A nn's production function is given by is q = KL 0.8K2 0.21.22 where q is the quantity of output produced, L is the amount of labor input used, and K is the amount of capital input used. Suppose the amount of capital is fixed at 10 units of capital in the short run. 1. Find this rm's short run (a) total product of labor function. (b) average product of labor function. and (c) marginal product of labor function. 2. At what level of labor input usage does the marginal productivity of labor reach a maximum? How much outth is produced at that point? Show and briey discuss how you arrived at your answer. 3. Is the marginal product of labor ever negative for this production function? If so, when. If not why not. Show how you arrived at your answer. 4. At what level of labor input usage does the average productivity of labor reach a maximum? How much output is produced at that point? Show and briey discuss how you arrived at your answer. 5. At what level of labor input usage does the total productivity of labor reach a maximum? How much output is produced at that point? Show and briey discuss how you arrived at your answer. 6. What is the economic region of the short tun production function you found in part I? Show and briey explain how you arrived at your answer. 7. Calculate the output elasticity of labor when this rm uses the amount of labor at which its average product of labor is maximum. 8. In a carefully labeled diagram, graphically illustrate this rm's total product of labor in the upper panel and the marginal product of labor and average product of labor in the lower panel using your results in parts 1 to 4. The following statistics have been provided in relation to a particular country and one of its regions: Region A Country Age Population Number Population Number band exposed of Deathy exposed of Deaths 18-35 25.000 25 500.000 1,000 36-50 50.000 80 125,000 375 $1-70 70,000 170 110,000 500 (i) Calculate: (a) the mortality rates for each age band both for Region A and Country (b) the crude mortality rate for cach of Region A and Country the directly standardised mortality rate for Region A by reference to the Country (d) the standardised mortality ratio for Region A by reference to the Country [5] (ii) Comment on the results. (2] [Total 7] The following is an extract of a decrement table assumed for a funeral plan, showing deaths (d) and withdrawals (w): Age x (allx (adf (ad)y 85 10,000 1,400 2,300 86 6.300 1,000 1,100 87 4,200 It has been established that the independent rates of decrement of withdrawal are now only 50% of those assumed in the table above for the ages of 85 and 86. The underlying independent mortality rates are unchanged. Construct a revised decrement table to reflect this change. [7]9. Suppose that in Milwaukee, the cost of operating a fishing boat is $4,000 per month. Suppose that if x fish boats operate in the bay, the total monthly revenue from fishing boats is 1, 000(12x - x2). If there are no restrictions on entry and new boats come into the lake until there is no profit to be made by a new entrant, then the number of boats who enter will be X1. If the number of boats that operate in the lake is regulated to maximize total profits, the number of boats in the lake will be X2. 09(a) X1 = 8 and X2 = 8. (b) X1 = 4 and X? = 0. (c) X1 = 8 and X2 = 5. (d) X1 = 4 and X2 = 4. (e) None of the above. 10. Suppose that in Milwaukee, the cost of operating a fishing boat is $4,000 per month. Suppose that if a fish boats operate in the bay, the total monthly revenue from fishing boats is 1, 000(28x - r?). If there are no restrictions on entry and new boats come into the lake until there is no profit to be made by a new entrant, then the number of boats who enter will be X1. If the number of boats that operate in the lake is regulated to maximize total profits, the number of boats in the lake will be X2. (a) X1 = 24 and X2 = 24. (b) X1 = 28 and X2 = 16. (c) X1 = 24 and X2 = 12. (d) X1 = 12 and X2 = 10. (e) None of the above.SECTION B [Total Marks 45 ] Answer any THREE Questions (Each question carries FIFTEEN marks). Question 2: a Explain Porter's Five Forces Model and the role it plays in decision making. [5 Marks] b. Explain the difference between customer-facing processes and business-facing processes. Which one is the more important to an organization? [5Marks] C. What is the relationship between critical success factors and key performance indicators? How can a manager use them to understand business operations [5 Marks] Question 3: a, Explain ethics and why are they important to a company? [5 Marks] b. Discuss why are e-policies important to a company? [5 Marks] C. List and describe the technologies can a company use to safeguard its information? [5 Marks] Question 4: a Compare disruptive and sustaining technologies, and explain how the Internet and WWW caused business disruption. [6 Marks] b. Identify the four (4) challenges associated with e-business. [4 Marks] C. Describe Web 3.0 and the next generation of online business. [5 Marks]