Dynamics Allocation of resources:

please answer all the part

i need answers for the part 3 with all the queations and part 4 for all the queations thank you.

Part 3. Show how this allocation would be different if the goal is to maximize social welfare over the two periods. Q47. What is the equation for marginal net benefit for period 1? Show your work Q#8. What is the equation for marginal net benefit for period 2?Show your work Q89. Graph the marginal net benefit curves for period 1 and period 2. 40 40 35 35 30 30 25 25 20 20 15 15 10 10 5 s O 0 30 10 20 40 50 60 70 80 90 100 Q#10. How many units would be used in period 1? Q#11. What is the value of welfare for period 1? Q#12. How many units would be used in period 2? 0813. What is the value of welfare for period 2? Q614. What is the value of social welfare in this two perod model? QUIS. Verify your results for questions 10 and 12 algebraically Part 4. Discounting. Q$16. What happens to the allocation between the two periods when the discount rate is equal to zero (r = 0). Q#17. What happens to the allocation between the two periods when the discount rate increases (r> 0). Q#18. Show on the graph below how a discount rate of 50 percent (r = 5) will change the allocation between the two periods. Start by graphing the marginal net benefit curves for period 1 and period 2 without discounting. 40 40 35 35 30 30 25 25 20 20 15 15 10 10 5 5 10 20 30 40 50 60 70 80 90 100 QH19. How many units would be used in period 1? Qu20. How many units would be used in period 2? Qu21. Solve this two period model algebraically to verify how many units will be consumed in period 1 and period 2. Remember this two period model includes discounting. Dynamic Allocation of Resources (Show all your work) Course: Name (Print): Part 1. MB = 40-491 Q#1. Use the following equations to graph the MB and MC curves. MC = 10 40 35 30 25 20 15 10 5 0 20 30 10 40 50 60 70 80 90 100 QH2. Suppose there is a finite amount of this resource available, Q = 100. How many units of this resource will be used/consumed in period 1? Q#3. Estimate the value of welfare for period 17 show you work. Solve algebraically for how many units will be consumed in period 1. Part 2. Q#4. Suppose period 2 is just like period 1. Use the following equations to graph the MB and MC curves. MB = 40-492 MC=10 40 35 30 25 20 15 10 5 0 10 20 30 40 50 60 70 80 90 100 Q#5. How many units will be used in period 2? (Remember that any units used in period 1 cannot be used in period 2). Q#6. Estimate the value of welfare for period 2? Show your work. Part 3. Show how this allocation would be different if the goal is to maximize social welfare over the two periods. Q#7. What is the equation for marginal net benefit for period 17 Show your work Qu8. What is the equation for marginal net benefit for period 2?Show your work. Q#9. Graph the marginal net benefit curves for period 1 and period 2. 40 40 35 35 30 30 25 25 20 20 15 15 10 10 S 5 O 10 20 30 40 SO 60 70 80 90 100 Q#10. How many units would be used in period 1? Q#11. What is the value of welfare for period 1? QH12. How many units would be used in period 2? Q113. What is the value of welfare for period 2? Q#14. What is the value of social welfare in this two period model? Q#15. Verify your results for questions 10 and 12 algebraically. Part 4. Discounting. QH16. What happens to the allocation between the two periods when the discount rate is equal to zero (r = 0). Qu17. What happens to the allocation between the two periods when the discount rate increases (r > 0). Q#18. Show on the graph below how a discount rate of 50 percent (r = 5) will change the allocation between the two periods. Start by graphing the marginal net benefit curves for period 1 and period 2 without discounting. 40 40 35 35 30 30 25 25 20 20 15 15 10 10 5 5 o 10 20 40 30 50 60 70 90 100 80 Q#19. How many units would be used in period 1? Q#20. How many units would be used in period 2? QU21. Solve this two period model algebraically to verify how many units will be consumed in period 1 and period 2. Remember this two period model includes discounting. Part 3. Show how this allocation would be different if the goal is to maximize social welfare over the two periods. Q47. What is the equation for marginal net benefit for period 1? Show your work Q#8. What is the equation for marginal net benefit for period 2?Show your work Q89. Graph the marginal net benefit curves for period 1 and period 2. 40 40 35 35 30 30 25 25 20 20 15 15 10 10 5 s O 0 30 10 20 40 50 60 70 80 90 100 Q#10. How many units would be used in period 1? Q#11. What is the value of welfare for period 1? Q#12. How many units would be used in period 2? 0813. What is the value of welfare for period 2? Q614. What is the value of social welfare in this two perod model? QUIS. Verify your results for questions 10 and 12 algebraically Part 4. Discounting. Q$16. What happens to the allocation between the two periods when the discount rate is equal to zero (r = 0). Q#17. What happens to the allocation between the two periods when the discount rate increases (r> 0). Q#18. Show on the graph below how a discount rate of 50 percent (r = 5) will change the allocation between the two periods. Start by graphing the marginal net benefit curves for period 1 and period 2 without discounting. 40 40 35 35 30 30 25 25 20 20 15 15 10 10 5 5 10 20 30 40 50 60 70 80 90 100 QH19. How many units would be used in period 1? Qu20. How many units would be used in period 2? Qu21. Solve this two period model algebraically to verify how many units will be consumed in period 1 and period 2. Remember this two period model includes discounting. Dynamic Allocation of Resources (Show all your work) Course: Name (Print): Part 1. MB = 40-491 Q#1. Use the following equations to graph the MB and MC curves. MC = 10 40 35 30 25 20 15 10 5 0 20 30 10 40 50 60 70 80 90 100 QH2. Suppose there is a finite amount of this resource available, Q = 100. How many units of this resource will be used/consumed in period 1? Q#3. Estimate the value of welfare for period 17 show you work. Solve algebraically for how many units will be consumed in period 1. Part 2. Q#4. Suppose period 2 is just like period 1. Use the following equations to graph the MB and MC curves. MB = 40-492 MC=10 40 35 30 25 20 15 10 5 0 10 20 30 40 50 60 70 80 90 100 Q#5. How many units will be used in period 2? (Remember that any units used in period 1 cannot be used in period 2). Q#6. Estimate the value of welfare for period 2? Show your work. Part 3. Show how this allocation would be different if the goal is to maximize social welfare over the two periods. Q#7. What is the equation for marginal net benefit for period 17 Show your work Qu8. What is the equation for marginal net benefit for period 2?Show your work. Q#9. Graph the marginal net benefit curves for period 1 and period 2. 40 40 35 35 30 30 25 25 20 20 15 15 10 10 S 5 O 10 20 30 40 SO 60 70 80 90 100 Q#10. How many units would be used in period 1? Q#11. What is the value of welfare for period 1? QH12. How many units would be used in period 2? Q113. What is the value of welfare for period 2? Q#14. What is the value of social welfare in this two period model? Q#15. Verify your results for questions 10 and 12 algebraically. Part 4. Discounting. QH16. What happens to the allocation between the two periods when the discount rate is equal to zero (r = 0). Qu17. What happens to the allocation between the two periods when the discount rate increases (r > 0). Q#18. Show on the graph below how a discount rate of 50 percent (r = 5) will change the allocation between the two periods. Start by graphing the marginal net benefit curves for period 1 and period 2 without discounting. 40 40 35 35 30 30 25 25 20 20 15 15 10 10 5 5 o 10 20 40 30 50 60 70 90 100 80 Q#19. How many units would be used in period 1? Q#20. How many units would be used in period 2? QU21. Solve this two period model algebraically to verify how many units will be consumed in period 1 and period 2. Remember this two period model includes discounting