In the Reddy Mikks model suppose that a third type of paint

In the Reddy Mikks model, suppose that a third type of paint, named \"marine,\" is produced. The requirements per ton of raw materials M1 and M2 are .5 and.75 ton, respectively. The daily demand for the new paint lies between .5 ton and 1.5 tons and the profit per ton is $3.5 (thousand). Modify the Excel Solver model solverRM2.xls and the AMPL model amplRM2.txt to account for the new situation and determine the optimum solution. Compare the additional effort associated with each modification.

Solution

Solution:

Conditions for Reddy Mikks model are:

Max Z = 5x1 + 5x2

6x1 + 4x2 < 24

x1 + 2x2 <6

x1 , x2 >=0

x 1 is raw material for interior paint & x2 raw material for exterior paint

With addition of third paint \" marine\" one more variable x3 get added

Max Z = 5x1 + 5x2 + 3.5x3 (profit given as 3.5)

6x1 + 4x2 + .5x3 < 24

x1 + 2x2 + .75x3 <6

x3>0.5

x3<1.5

x1 , x2, >=0

Rest steps will be same to solve linear equations (simplex method)

Optimum solution will be 21.