Define constraints in linear programming problems.

Define optimal solution in linear programming problem.

Define optimal solution in linear programming problem .

Define optimal solution in linear programming problem.

Define feasible region in a linear programming Problem.

Define optimal solution in Linear Programming problem.

Defione objective function in Linear Programming Problem.

A diet is to contain atleast 80 units of vitamin A and 100 units of minerals . Two foods F_(1)" and " F_(2) are available . Food F_(1) costs Rs 4 per unit and food F_(2) costs Rs 6 per unit . One units of food F_(1) contains at 3 units of vitamin A and 4 units of minerals . One unit of food F_(2) contains 6 units of vitamin A and 3 units of minerals . Formulate this as a linear programming problem . find the minimum cost for diet that consists of mixture of these two foods and also meets the minimal nutritional requirements .

Solve the following linear programming problem graphically: Maximise Z=4x+y subject to the constraints: x+yle50 3x+yle90 xge0, yge0