. 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 apple tree 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 decisions. (a) List the set of possible actions, related outcomes, and the payoff of each action/outcome. What is your optimal action

you should have 2 apple trees

Explanation:

you can have                           savings            costs            net payoff

no tree at all                                0                      0                     0

1 apple tree                               $130                $100                $30

1 orange tree                            $90                  $70                 $20

1 pear tree                                $145                 $120                $25

2 apple trees                           $260               $200                $60

2 orange trees                         $180                $140                 $40

2 pear trees                             $290               $240                $50

1 apple + 1 pear tree                $275               $220                $55

1 apple + 1 orange tree            $220               $170                 $50

1 orange + 1 pear tree              $235               $190                 $45

among other factors, composers started writing dynamic markings in their scores because "new instruments allowed for more dynamic ranges and contrast."

dynamics allude to the loudness or softness of music. dynamics offer an approach to demonstrate articulation in sheet music. they to drive the enthusiastic substance of music through volume and force. maybe you could alter both the volume and the shading profundity on your screen at the same time. we can likewise think about the force side of elements as the quality of a note. a few notes are intended to be played delicately and gently, while others are intended to be played all the more firmly.  

some dynamics markings have a letter 'm,' which remains for mezzo, signifying 'medium.' so a mezzo piano unique stamping resembles this (mp) and intends to play medium calm, while a mezzo specialty dynamic resembles this (mf) and intends to play medium loud.