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.
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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