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 28

Which brand of T-Shirt has more visibility across 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 across stores = (111/450) + (48/440) + (91/280) + (30/350) + (80/480) = 0.933

Visibility of Supreme across stores = (128/450) + (55/440) + (79/280) + (111/350) + (65/480) = 1.144

Visibility of Paramount across stores = (69/450) + (116/440) + (50/280) + (101/350) + (105/480) = 1.1

Visibility of Smash across stores = (85/450) + (137/440) + (30/280) + (60/350) + (108/480) = 1.06

Supreme has highest visibility across stores.

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