Taurus Ltd$.$ produces three products $$ A$,$ B and C from the same manufacturing facilities. The cost and other details of the three products are as follows. The processing hours cannot be increased beyond $200$ hours per month. Fixed expenses per month $($Rs$\mathrm{.}276000).$ Formulate Linear Programming problem to maximise its profit and profitable product mix. A B C

Selling price per unit $($Rs$.)200160100$

Variable cost price per unit $($Rs$.)12012040$

Maximum production per month $($units$)500080006000$

Maximum demand per month $($units$)200040002400$