Question: 3. A local developer is planning to build a subdivision consisting of double-storey semidetached houses, single-storey detached houses and double-storey detached houses. On one acre,

3. A local developer is planning to build a

3. A local developer is planning to build a subdivision consisting of double-storey semidetached houses, single-storey detached houses and double-storey detached houses. On one acre, the developer can build 6 double storey semi-detached houses or 4 single-storey detached house or 2 double-storey detached houses and the developer has 60 acres of land available. It costs BND40000 to build each semi-detached house, BND50,000 to build each single-storey detached house and BND60,000 to build each double-storey detached house. A profit of BND15,000, BND18,000 and BND 20,000 can be earned respectively from each semi-detached house, single-storey detached house and double-storey detached house. Double storey semi-detached houses require 2500 labour hours; single storey detached houses require 3000 labour hours; and double storey detached houses require 4000 labour hours. 240,000 labour hours are available and the developer has a capital of BND2,880,000 to invest. How many houses of each type should the developer construct in order to maximise his/her profit

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