How to do question 6-11?

o 6. If those valuts of the constants were accurate, then when should the seller sell the basket- ball to maximize the amount in his retirement account when he turns 65? o 7. Plot the function M (t) for several different values of 9, while holding r constant. 1What does a larger value of 9 imply about the value of the basketball over time? (Refer back to question 3.) And now, what does a larger value of 3 imply about the best time to sell the basketball? Do these two facts seem consistent with one another? o 8. Plot the function M (t) for several different values of 1', while holding 0 constant. What does a larger value of 1" imply about the best time to sell the basketball? Is that consistent with the meaning of r? o 9. Let to be the optimal time to sell the basketball, i.e., the time that will maximize M (t). Try to nd to in the general model. Note that your solution should be a function of the constant variables A, I? and r. o 10. Plot M (t) against it for different combinations of A, 9 and r, and verify that your expres- sion for to dorm accurately predict when the best time will be to sell the basketball. I: 11. Are the properties of to as it relates to 9 and r consistent with what you found in step 7 and step 8