this is my second time that I post it on chegg please solve it step by step

2) A governor asked for some advice how to best utilize a large urban area in an expanding town. Project of housing, retail, office and hotel areas are considering the expanding town plan. The profit of each alternative is a function of the floor areas allocated to each activity. The total floor area is limited to 7 units. The goal is to find the mix of development which will maximize the profit. Area 0 1 2 3 4 5 6 7 housing 0 2 4 6 8 og 10 12 14 retail 0 6 9 9 10 11 BBQ 12 13 office 0 1 1 2 1 15 12 20 hotel 0 8 12 20 16 12 10 4 a. Define your stage(s) (5 points) b. Define your states(s) (5 points) c. Define recursive relation formula (10 points) d. Show your iterations clearly (30 points) 2) A governor asked for some advice how to best utilize a large urban area in an expanding town. Project of housing, retail, office and hotel areas are considering the expanding town plan. The profit of each alternative is a function of the floor areas allocated to each activity. The total floor area is limited to 7 units. The goal is to find the mix of development which will maximize the profit. Area 0 1 2 3 4 5 6 7 housing 0 2 4 6 8 og 10 12 14 retail 0 6 9 9 10 11 BBQ 12 13 office 0 1 1 2 1 15 12 20 hotel 0 8 12 20 16 12 10 4 a. Define your stage(s) (5 points) b. Define your states(s) (5 points) c. Define recursive relation formula (10 points) d. Show your iterations clearly (30 points)