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Formulate ernesto situation-linear programming problem

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Reference no: EM132691684

Ernesto is to plant a garden with two types of tree: palms and conifers

He is to plant at least 10, but not more than 80 palms.

He is to plant at least 5, but not more than 40 conifers.

He cannot plant more than 100 trees in total.

Each palm needs 20 litres of water each day and each conifers needs 60 litres of water each day. There are 3000 litres of water available each day. Ernesto makes a profit of $2 on each palm and $1 on each conifer that he plants and he wishes to maximise his profit.

Ernesto plants X palms and Y conifers.

a) Formulate Ernesto's situation as a linear programming problem.

b) Draw a suitable diagram to enable the problem to be solved graphically, indicating the feasible region and the direction of the object line.

c) Find the maximum profit for Ernesto.

Reference no: EM132691684

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