Joe's Grease truck is allowed to operate in three locations (which we will just call 1,...

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Joe's Grease truck is allowed to operate in three locations (which we will just call "1", "2", and "3"). Joe parks the truck and sells food in a single location for a day and then has the option to move to another location overnight. His moving costs between locations are Location 1 2 3 Location 1 2 3 Joe estimates his profit from selling food in each location on each day as follows: Day 1 2 3 S -$50 $ 100 $ 50S $75 $100 $75 $ - 1 $ 180 $ 170 $ 260 . 2 $ 210 $ 205 $ 220 3 $ 200 $ 230 $ 190 4 $ 250 $ 240 $ 255 For example, if operates in location 2 on day 3, he expects to make a $230 profit selling food. Joe has already committed to spend day 1 in location 3, and he must be in location 1 after day 4 (either by already being there on day 4, or moving there overnight after day 4). Within these constraints, how can Joe maximize his overall profits (total profit from selling food, minus total moving costs) for days 1 through 4? Joe's Grease truck is allowed to operate in three locations (which we will just call "1", "2", and "3"). Joe parks the truck and sells food in a single location for a day and then has the option to move to another location overnight. His moving costs between locations are Location 1 2 3 Location 1 2 3 Joe estimates his profit from selling food in each location on each day as follows: Day 1 2 3 S -$50 $ 100 $ 50S $75 $100 $75 $ - 1 $ 180 $ 170 $ 260 . 2 $ 210 $ 205 $ 220 3 $ 200 $ 230 $ 190 4 $ 250 $ 240 $ 255 For example, if operates in location 2 on day 3, he expects to make a $230 profit selling food. Joe has already committed to spend day 1 in location 3, and he must be in location 1 after day 4 (either by already being there on day 4, or moving there overnight after day 4). Within these constraints, how can Joe maximize his overall profits (total profit from selling food, minus total moving costs) for days 1 through 4?

Answer rating: 100% (QA)

Solution Joe starts in location 3 on day 1 so his profit is 170 On day 2 he c... View the full answer