Refer to this product tree:
If 17 Ps are needed, and on-hand inventory consists of 10 As, 15 Bs, 20 Cs, 12 Ms, and 5 Ns, how many Cs are needed?
A) 48
B) 144
C) 192
D) 212
E) 272

Question

Refer to this product tree: 
If 17 Ps are needed, and on-hand inventory consists of 10 As, 15 Bs, 20 Cs, 12 Ms, and 5 Ns, how many Cs are needed?
A) 48 
B) 144 
C) 192 
D) 212 
E) 272

Quizplus · Accepted Answer

From the product tree given, we know that 1 C produces 8 Ps. 
Therefore, 17 Ps will require (17/8) = 2.125 Cs. 
Since we cannot have a fractional quantity of Cs, we need to round up to the nearest whole number, which gives us a total of 3 Cs needed. 
Given that we already have 20 Cs on-hand, we subtract that from the total needed which gives us 3-20=-17. 
Since we have a shortage of 17 Cs, we need to order that many more. Therefore, the number of Cs needed is 17, which is closest to 192 (Choice C).

Refer to This Product Tree