Below is the question related to Statistic and Optimization subject from Chapter Linear and Dynamic Programming.

Question: You are asked for an advice on how to best utilize a large urban area in an expanding town.A mixed project of housing, retail, office and hotel areas is envisaged.The rental income is a function of the floor areas allocated to each activity. The total floor area is limited to 6 units.The goal is to find the mix of development which will maximize the profit.The expected annual profit for areas of 0-6 units allocated to each development type is summarized below.

Area Housing Retail Office Hotel

0 0 0 0 0

1 2000 6000 1000 8000

2 4000 9000 1000 12000

3 7000 10000 3000 22000

4 8000 12000 2000 18000

5 11000 13000 17000 14000

6 14000 14000 14000 12000

Problem #6 You are asked for an advice on how to best utilize a large urban area in an expanding town. A mixed project of housing, retail, office and hotel areas is envisaged. The rental income is a function of the floor areas allocated to each activity. The total floor area is limited to 6 units. The goal is to find the mix of development which will maximize the profit. The expected annual profit for areas of 0-6 units allocated to each development type is summarized below. Area Housing Retail Office Hotel 0 0 0 0 0 1 2000 6000 1000 8000 2 4000 9000 1000 12000 3 7000 10000 3000 22000 4 8000 12000 2000 18000 5 1 1000 13000 17000 14000 6 14000 14000 14000 12000