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NehaNimbekar,[object Object],R750209011,[object Object],MBA(ISM),[object Object],Linear  Programming,[object Object]
Kingfisher Airlines,[object Object],Earlier Kingfisher Airlines was a small company that uses small planes for short flights.,[object Object],The company was considering to expand its operations.,[object Object],Kingfisher has two choices:,[object Object],Buy more small planes (SP) and continue with short flights,[object Object],Buy only large planes (LP) and only expand into larger markets with longer flights,[object Object],Expand by purchasing some small and some large planes,[object Object]
Kingfisher Airlines Cont.,[object Object],Question: How many large and small planes should be purchased to maximize total net annual profit?,[object Object]
Kingfisher Airlines,[object Object]
Mathematical Model for Kingfisher,[object Object]
Graphical Method for Linear Programming,[object Object]
Divisibility Assumption of LP,[object Object],This assumption says that the decision variables in a LP model are allowed to have any values that satisfy the functional and non-negativity constraints. ,[object Object],This implies that the decision variables are not restricted to integer values. ,[object Object],Note: Implicitly in Kingfisher’s problem, it cannot purchase a fraction of a plane which implies this assumption is not met.,[object Object]
New Mathematical Model for Kingfisher,[object Object]
The Graphical Solution Method For Integer Programming,[object Object],Step 1: Graph the feasible region,[object Object],Step 2: Determine the slope of the objective function line,[object Object],Step 3: Moving the objective function line through this feasible region in the direction of improving values of the objective function.,[object Object],Step 4: Stop at the last instant the the objective function line passes through an integer point that lies within this feasible region.,[object Object],This integer point is the optimal solution.,[object Object]
Graphical Method for Integer Programming,[object Object]
Thank You,[object Object]

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