DMM CASE STUDY

PRESENTED BYNAVEEN YADAVVINEET VERMA

SAIF KHAN

MOSAIC TILES

Case Situation

Mosaic tiles is a tile manufacturing company

Two sizes of tiles produced: Large and Small

The tiles are produced in batch sizes of 100

objective:

maximize the profit ie:Max Z = 190 x + 240 y

Variables: x = no. of batches of 100 large tiles produced y = no. of batches of 100 small tiles produced

Process Large tile ( x ) Small tile ( y ) Avilable hours

Molding 18 mins 15 mins 60 hrs / week

Baking .27 hrs .58 hrs 105 hrs / week

Glazing 0.16 hrs 0.20 hrs 40 hrs / week

Clay derivative 32.8 pounds 20 pounds 6000 pounds / week

Profit 190$ 240$

Constraints

18/60 x + 15/60 y ≤ 60 (molding)0.27x + 0.58y ≤ 105 (baking)0.16x + 0.2 y ≤ 40 (glazing)32.8x + 20y ≤ 6000 (clay derivative)x,y > 0 (non negative constraint)

Graphical solution

C A S E 1 ( X = 0 , Y = 0 )

Z = 0

C A S E 2 ( X = 0 , Y = 1 8 1 . 0 3 )

Z = 4 3 4 4 7 . 2

C A S E 3 ( X = 1 8 2 . 9 2 , Y = 0 )

Z = 3 4 7 5 4 . 8

C A S E 4 ( X = 1 3 6 . 3 6 , Y = 7 6 . 0 8 )

Z = 4 4 1 6 7 . 6

C A S E 5 ( X = 1 0 0 , Y = 1 2 0 )

Z = 4 7 8 0 0

C A S E 6 ( X = 5 6 . 7 5 , Y = 1 5 4 . 6 3 )

Z - = 4 7 8 9 3 . 7

Optimal solution for the given case

Thank you