9. [3/9 Points] DETAILS PREVIOUS ANSWERS WANEFM7 5.2.048. MY NOTES ASK YOUR TEACHER The Grand Vizier of the Kingdom of Um is being blackmailed by nine individuals and is having a very difficult time keeping them from going public. He has been keeping them at bay with two kinds of payoff: gold from the Royal Treasury and political favors. Through long experience, he has learned that each gold payoff gives him peace for an average of about 1 month and has an exposure risk index of -5, while each political favor earns him about a month and a half of reprieve but has an exposure risk index of +1. To maintain his flawless reputation in the Court, he feels that he cannot afford any revelations about his tainted past to come to light within the next year. So it is imperative that he make at least nine payoffs this year, that his blackmailers be kept at bay for 12 months, and that he maintain a total exposure risk index of no more than 3. Furthermore, he would like to keep the number of gold payoffs at no more than 60% of the combined number of payoffs because the outward flow of gold bars might arouse suspicion on the part of the Royal Treasurer. The gold payoffs and political favors tend to affect his travel budget (he frequently travels to the Himalayas for vizier-related reasons). He would like to maintain his flawless reputation in the Court in such a way that the net loss to his travel budget is a minimum. What is he to do, and what is the effect on his travel budget if the following were to happen? HINT [See Example 4.] (a) Each gold bar removed from the treasury depletes his travel budget by 2 Orbs, and, as a result of administrative costs, each political favor depletes his travel budget by 7 Orbs. (If an answer does not exist, enter DNE.) number of gold payoffs number of political favors decrease in travel budget Orbs (b) Each gold bar removed from the treasury somehow adds 2 Orbs to his travel budget, but each political favor depletes it by 1 Orb. (If an answer does not exist, enter DNE.) number of gold payoffs dne number of political favors dne decrease in travel budget dne Orbs (c) Each gold bar removed from the treasury depletes his travel budget by 8 Orbs, but, for reasons too complicated to explain, each political favor adds an Orb to the budget. (If an answer does not exist, enter DNE.) number of gold payoffs Enter a number. number of political favors increase in travel budget Orbs Submit Answer 9. [3/9 Points] DETAILS PREVIOUS ANSWERS WANEFM7 5.2.048. MY NOTES ASK YOUR TEACHER The Grand Vizier of the Kingdom of Um is being blackmailed by nine individuals and is having a very difficult time keeping them from going public. He has been keeping them at bay with two kinds of payoff: gold from the Royal Treasury and political favors. Through long experience, he has learned that each gold payoff gives him peace for an average of about 1 month and has an exposure risk index of -5, while each political favor earns him about a month and a half of reprieve but has an exposure risk index of +1. To maintain his flawless reputation in the Court, he feels that he cannot afford any revelations about his tainted past to come to light within the next year. So it is imperative that he make at least nine payoffs this year, that his blackmailers be kept at bay for 12 months, and that he maintain a total exposure risk index of no more than 3. Furthermore, he would like to keep the number of gold payoffs at no more than 60% of the combined number of payoffs because the outward flow of gold bars might arouse suspicion on the part of the Royal Treasurer. The gold payoffs and political favors tend to affect his travel budget (he frequently travels to the Himalayas for vizier-related reasons). He would like to maintain his flawless reputation in the Court in such a way that the net loss to his travel budget is a minimum. What is he to do, and what is the effect on his travel budget if the following were to happen? HINT [See Example 4.] (a) Each gold bar removed from the treasury depletes his travel budget by 2 Orbs, and, as a result of administrative costs, each political favor depletes his travel budget by 7 Orbs. (If an answer does not exist, enter DNE.) number of gold payoffs number of political favors decrease in travel budget Orbs (b) Each gold bar removed from the treasury somehow adds 2 Orbs to his travel budget, but each political favor depletes it by 1 Orb. (If an answer does not exist, enter DNE.) number of gold payoffs dne number of political favors dne decrease in travel budget dne Orbs (c) Each gold bar removed from the treasury depletes his travel budget by 8 Orbs, but, for reasons too complicated to explain, each political favor adds an Orb to the budget. (If an answer does not exist, enter DNE.) number of gold payoffs Enter a number. number of political favors increase in travel budget Orbs Submit