Raul is trying to plan what to do on Saturday. He will do one leisure activity in the afternoon and one chore in the morning. His two leisure activity choices are a movie and hiking and his two chore choices are paying bills and mowing the law. He prefers hiking to going to the movies only if it's sunny. And prefers mowing the lawn over paying the bills only if it's sunny. However, what's most important to Raul is to not over-exert himself: mowing the lawn and hiking on the same day is too much activity for Raul.
a. Raul wakes up on Saturday and sees that it's sunny. If the decision for the Saturday's activities is taken simultaneously, how does Raul rank the activities: U(morning activity, afternoon activity)? (Hint: there may be more than one correct answer). $\max _{\text {morning activity } \in(\text { mow,bills })} U$ (morning activity). Choice of morning activity is to mow.
c. It is still sunny in the afternoon when Raul must decide which leisure activity to do. Write down Raul's decision problem in the afternoon and his choice.
$\max _{\text {afternoon activity } \in(\text { hike,movie })} U($ afternoon activity|morning activity). Choice of afternoon activity is to go to the movies.
d. Is Raul better off making decisions sequentially or simultaneously?
Simultaneously. If he had known that it would be sunny all day he would have preferred to do the bills in the morning and then go hiking in the afternoon.
However, he wasn't sure whether the sun would stay out and so he made his choice in the morning only based off his preference for mowing and paying the bills.

Question

Raul is trying to plan what to do on Saturday. He will do one leisure activity in the afternoon and one chore in the morning. His two leisure activity choices are a movie and hiking and his two chore choices are paying bills and mowing the law. He prefers hiking to going to the movies only if it's sunny. And prefers mowing the lawn over paying the bills only if it's sunny. However, what's most important to Raul is to not over-exert himself: mowing the lawn and hiking on the same day is too much activity for Raul.
a. Raul wakes up on Saturday and sees that it's sunny. If the decision for the Saturday's activities is taken simultaneously, how does Raul rank the activities: U(morning activity, afternoon activity)? (Hint: there may be more than one correct answer). $\max _{\text {morning activity } \in(\text { mow,bills })} U$ (morning activity). Choice of morning activity is to mow.
c. It is still sunny in the afternoon when Raul must decide which leisure activity to do. Write down Raul's decision problem in the afternoon and his choice.
$\max _{\text {afternoon activity } \in(\text { hike,movie })} U($ afternoon activity|morning activity). Choice of afternoon activity is to go to the movies.
d. Is Raul better off making decisions sequentially or simultaneously?
 Simultaneously. If he had known that it would be sunny all day he would have preferred to do the bills in the morning and then go hiking in the afternoon.
However, he wasn't sure whether the sun would stay out and so he made his choice in the morning only based off his preference for mowing and paying the bills.

Quizplus · Accepted Answer

The Answer of Raul is trying to plan what to do on Saturday. He will do one leisure activity in the afternoon and one chore in the morning. His two leisure activity choices are a movie and hiking and his two chore choices are paying bills and mowing the law. He prefers hiking to going to the movies only if it's sunny. And prefers mowing the lawn over paying the bills only if it's sunny. However, what's most important to Raul is to not over-exert himself: mowing the lawn and hiking on the same day is too much activity for Raul.
a. Raul wakes up on Saturday and sees that it's sunny. If the decision for the Saturday's activities is taken simultaneously, how does Raul rank the activities: U(morning activity, afternoon activity)? (Hint: there may be more than one correct answer). $\max _{\text {morning activity } \in(\text { mow,bills })} U$ (morning activity). Choice of morning activity is to mow.
c. It is still sunny in the afternoon when Raul must decide which leisure activity to do. Write down Raul's decision problem in the afternoon and his choice.
$\max _{\text {afternoon activity } \in(\text { hike,movie })} U($ afternoon activity|morning activity). Choice of afternoon activity is to go to the movies.
d. Is Raul better off making decisions sequentially or simultaneously?
 Simultaneously. If he had known that it would be sunny all day he would have preferred to do the bills in the morning and then go hiking in the afternoon.
However, he wasn't sure whether the sun would stay out and so he made his choice in the morning only based off his preference for mowing and paying the bills.

Raul Is Trying to Plan What to Do on Saturday max⁡morning activity ∈( mow,bills )U\max _{\text {morning activity } \in(\text { mow,bills })} Umaxmorning activity ∈( mow,bills )​U

Raul Is Trying to Plan What to Do on Saturday $\max _{\text {morning activity } \in(\text { mow,bills })} U$