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

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

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