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different resources (per pound) as shown in table. Type Basic seeds provides a profit of $3 and

Type Super provides a profit of $4.5 per pound.

Type Basic

Area in square feet

1

Pesticides

2

Harvesting &Packaging hours 2

Let X = the pounds of Type Basic seed

Let Y= the pounds of Type Super seed

The Linear Program has been provided as follows:

Max

s.t.

3X + 4.5Y

1A + 1B ≤300 ------1

2A + 1B ≤400 -------2

2A + 5B

≤ 750

A, B

≥0

Type Super

1

1

5/nUSE GRAPHICAL SOLUTION PROCEDURE TO SOLVE THE LINEAR PROGRAM AND PERFORM

THE FOLLOWING STEPS.

• Draw the constraints

• Shade the feasible region

Corners should be clear and make an arrow to define the feasible region.

.Point out the optimal corner on the graph (the optimal solution). Upload your graph.

Then calculate the following and type the answers

• The Optimal Production quantities of grass type Basic and grass type Super.

How much profit can be made from the optimal values of X and Y

Is there any slack? How much? Where?

Fig: 1

Fig: 2