Instructions

T-Nation, a T-shirt manufacturing company has unleashed 5-5-5 strategy, five brands (Ultimate Supreme, Smash, Paramount, Astute), five sizes, (S, M, L, XL, XXL), and five Stores (S1, S2, S3, S4, S5) to capture New Delhi market. Number of T-Shirts in each of the store is given in the stacked bar chart below.


Note: Visibility of a brand in a store is given by number of T-Shirts of the brand in the store by total number of T-Shirts in the store. Visibility across the stores is measured by sum of the scores of visibility of a brand in a store.

Question 29

Which brand has lowest visibility score in any of the stores?

Solution

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Visibility of a brand in a store = Total number of T shirts of the brand/Total no of T shirts in the store

Visibility across the stores = Sum of the scores of visibility of a brand in a store

Total no of T shirts in store 1 = 111+69+85+128+57 = 450

Total no of T shirts in store 2 = 48+116+137+55+84 = 440

Total no of T shirts in store 3 =91+50+30+79+30 = 280

Total no of T shirts in store 4 = 30+101+60+111+48 = 350

Total no of T shirts in store 5 = 80+105+108+65+122 = 480

Visibility of Astute in 

store 1 = (111/450) ,     store 2 = (48/440) = 0.1091,    store 3 = (91/280),    store 4 = (30/350) = 0.0857,     store 5 =  (80/480)

 Visibility of Supreme in 

store 1 = (128/450),      store 2 = (55/440),   store 3 = (79/280),    store 4 = (111/350),    store 5 = (65/480) = 0.1354

Visibility of Paramount in 

store 1=(69/450),        store 2= (116/440),      store 3 = (50/280),   store 4 =(101/350),      store 5 = (105/480) 

Visibility of Smash in

Store 1 = (85/450)      store 2 =  (137/440),       store 3 = (30/280)0.1071 ,    store 4 = (60/350),       store 5 = (108/480)

Visibility of Ultimate in 

Store 1 = (57/450)=0.1267         store 2 = (84/440),      store 3 = (30/280),     store 4 =  (48/350),      store 5 =(122/480) 

In store 1,Ultimate has lowest visibility. 

In store 2, Astute has lowest visibility.

Comparing lowest visibility from each store, visibility of Astute in store 4 is the lowest.

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