Develop a simple application $of$ two$-$variable linear programming problem $to$ find $an$ optimal

product mix $in$ a 'realistic' context. Specify the resources $tobe$ considered and the resource

requirements, market demand considerations, technical considerations, managerial policies,

and any other relevant factors, and formulate the linear programming problem using realistic

assumptions $or$ estimates $of$ the same. Find the optimal solution $of$ your linear programming

problem and discuss its $sensitivity$ analysis and managerial implications.

$[05$ marks$]$

Develop applications $of$ linear programming problem $in$ any two areas $of$ management $(i.e.$ two

out $of$ Marketing, Finance, $HR,an\frac{d}{o}r$ Operations$).$ Specify the relevant factors $tobe$

considered, and formulate the linear programming problem using realistic assumptions $or$

estimates $of$ the same. Find the optimal solutions $of$ your linear programming problems and

discuss their $sensitivity$ analysis and managerial implications.

$[10$ marks$]$

Develop $an$ application $of$ trans$-$shipment problem $in$ a 'realistic' context. Your application

should include $at$ least two origins $(e.g.$ two manufacturing plants$),at$ least three intermediary

points $(e.g.$ warehouses$),$ and $at$ least five destinations $(e.g.$ retail outlets$).$ Use geographical

locations for each $of$ the nodes $(origins,$ intermediary points, and destinations$),$ for example

within a state $or$ a district, and formulate the problem using realistic assumptions $or$ estimates

for production and transportation capacities and costs, market demand and prices, and any other

relevant factors. Find the optimal solution $of$ your linear programming problem and discuss its

$sensitivity$ analysis and managerial implications.

$[05$ marks$]$