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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.
Suppose, size M constitutes 22% of all the T-Shirts owned by T-nation. It is also given that ‘size M T-shirt’ in stores 1, 2 and 5 are 10% of the total T-shirts in these stores. Then, the total number of T-Shirts of size M in store 4 cannot be less than
Total number of T shirts in all stores = 450+480+440+280+350 = 2000
Number of T shirts of size M = 2000*22/100 = 440
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 5 = 80+105+108+65+122 = 480
Number of T shirts of size M in store 1,2 and 5 = (450+440+480)*10/100 = 137
T shirts of size M in store 3 and 4 = 440 -137 = 303
The number of T shirts of size M will be minimum in store 4 if the number of T shirts of size M will be maximum in store 3.
The number of T shirts of size M in store 3 = 280 (if all T shirts in store 3 are size M)
The number of T shirts of size M in store 4 = 303-280 = 23
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