Question

Two tailors, A and B,earn Rs 300 and Rs 400 per day respectively.A can stitch 6 shirts and 4 pairs of trousers while B can stitch 10 shirts and 4 pairs if trousers per day.To find how many days should each of them work and if it is desired to produce at least 60 shirts and 32 pairs of trousers at a minimum labour cost,formulate this as an LLP.

Answer 1

Let the number of days for which the tailors A and B work be x and y respectively.

To minimize: Z= Rs(300x+400y)

Subject to constriants:$6x+10y\ge 60,4x+4y\ge 32;x,y\ge 0or,3x+5y\ge 30,x+y\ge 8;x,y\ge 0.$