Solve the below problem:
Q: You have room for up to two fruit bearing trees in your garden. The fruit trees that can grow in your garden are either apple, orange or pear. The cost of maintenance is $100 for an apple tree, $70 for an orange tree and $120 for a pear tree. Your food bill will be reduced by $130 for each appletree you plant, by $145 for each pear tree you plant and by $90 for each orange tree you plant. You care only about your total expenditure in making any planting decisions.
(a) What is the set of possible actions and related outcomes?
(b) What is the payoff of each action/outcome?
(c) Which actions are dominated?
(d) Draw the associated decision tree. What will a rational player choose?