A county is planning to develop 750 acres of available land in an environment-friendly way. Available land use types include parks, farmland, wildlife reserves, residential areas, and forests. The county expects to develop at least 90 acres of parks and 110 acres of wildlife reserve areas. The county wants to ensure a diversity of land uses so it would like to restrict wildlife reserve areas to a maximum of 350 areas. Additionally, the county wants to make sure that at least 50 acres of land is allocated each to farm- land and forest, and 70 acres of land is allocated to residential areas. Formulate and solve this exercise to maximize the environmental benefit for the county. The yearly environment benefits for each type of land use per acre are scored as follows:
|
Types
|
Environment Benefit
|
|
Park
|
108
|
|
Farmland
|
75
|
|
Wildlife Reserve
|
150
|
|
Residential Area
|
53
|
|
Forest
|
116
|