Mosaic Tiles

MOSAIC TILES

DMM CASE STUDY 

PRESENTED BY  N A V EE E E N Y A D AV AV   V I N EE E E T V E RM RM A   SAIF KHA N

Case Situation y

Mosaic tiles is a tile manufacturing company 

y

Two sizes of tiles produced: Large and Small

y

The tiles are produced in batch sizes of 100

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$

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

Constraints y

y

y

y

y

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

Optimal solution for the given case CASE 1 (X = 0 , Y = 0 ) Z = 0 CASE 2 ( X = 0 , Y = 181.03) Z = 43447.2 CASE 3 ( X =182.92 , Y =0 Z = 34754.8

)

CASE 4 ( X = 1 36.36 , Y = 76.08 ) Z = 44167.6 CASE 5 (X= 100, Y=120) Z= 47800 CASE 6 ( X=56.75 , Y=154.63) Z-=47893.7

y

Thank you