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B777 300 150<br />
A321 200 100<br />
It has planned to buy three B777s and five A321s for every B747.<br />
Q.1 How many of each aircraft should the company purchase?<br />
(A) B747 = 2; B777 = 6; A321 =10 (B) B747 = 4; B777 = 6; A321 = 6<br />
(C) B747 = 3; B777 = 8; A321 = 5 (D) B747 = 1; B777 = 6; A321 = 12<br />
Solution 1. It is given that, for every B747 there will be 3-B7777 and 5-A321<br />
Only answer option (A) satisfies this condition. Hence, the correct option is (A).<br />
Q.2 However, INDIAN's budget is limited to $2000 million for this purchase. Given this<br />
constraint, it is willing to be flexible on the proportion of aircraft types to be purchased.<br />
How many aircraft should it purchase such that both budget utilization and meeting the estimated<br />
seat demand are simultaneously maximized?<br />
(A) B747 = 2; B777 = 4; A321 = 9 (B) B747 = 2; B777 = 6; A321 = 6<br />
(C) B747 = 2; B777 = 5; A321 = 7 (D) B747 = I; B777 = 5; A321 = I<br />
Solution 2. For options A, C and D the price of aircrafts is $ 2000 million. As price per seat for<br />
B747 is higher than A321 and B 777. Therefore we try to minimize the number of B747<br />
aircrafts. So option (D) gives maximum number of seats. Hence, the correct option is (D).<br />
Q.3 How many different alternatives for aircraft purchase are possible for full use of the budget?<br />
(A) 5 (B) 6 (C) 3 (D) 4<br />
solution 3. Here full use of the budget means both budget utilization and meeting the estimated<br />
seat demand are simultaneously maximized. To maximize it, we should purchase minimum<br />
number of B747 aircrafts various combinations can be calculated by equation.<br />
250C + 150B + 100A = 2000<br />
Þ 5C + 3B + 2A = 40<br />
Hence, the correct option is (B).<br />
B777 A721 B747<br />
1 16 1<br />
3 13 1<br />
5 10 1<br />
7 7 1<br />
9 4 1<br />
11 1 1
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