Question

A small project consists of 3 activates P, Q and R to be executed in that sequence. The relationship between Time Duration (in ‘Units’ of time – T) and corresponding total direct cost (C units) for each of the activities, for alternate mutually exclusive possible durations for each activity, are tabulated herewith:

P		Q		R
T	C	T	C	T	C
8	250	6	340	8	400
9	235	7	320	10	375
10	225	8	295	12	350
11	215	9	275

 

For a total duration of 25 units of time, the least total direct cost for the complete project will be 
1. 965 units 
2. 950 units 
3. 940 units 
4. 925 units

Answer 1

Correct Answer - Option 4 : 925 units

Explanation:

The above problem is aptitude-based.To solve this, first we need to find out the various combinations of durations of P, Q, and R so that their sum becomes 25.

Case 1: If P = 8, then Q = 7 and R = 10 ⇒ their sum = 25 units of time

Total cost = 250 + 320 + 375 = 945 units

Case 2: If P = 9, then Q = 6 and R = 10 ⇒ their sum = 25 units of time

Total cost = 235 + 340 + 375 = 950 units

Case 3: If P = 9, then Q = 8 and R = 8 ⇒ their sum = 25 units of time

Total cost = 235 + 295 + 400 = 930 units

Case 4: If P = 10, then Q = 7 and R = 8 ⇒ their sum = 25 units of time

Total cost = 225 + 320 + 400 = 945 units

Case 5: If P = 11, then Q = 6 and R = 8 ⇒ their sum = 25 units of time

Total cost = 215 + 340 + 400 = 955 units

∴ Minimum Direct cost of the project is 930 units (Case 3) which is closer to option ‘4’.