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Activity P is followed by Activity Q which in turn, is followed by activity R. The direct cost of these activities in relation to the choice of feasible durations table is given below : Activity. Activity. Activity P. Q. R Duration. in days. 7 6 5 8 7 6 9 8 7 Direct Cost. 12 14 15 20 23 27 40 42 45 Rs. '000 For all the three activities taken together, the minimum possible direct cost for a total duration of 21 days will be a) Rs.81,000. b) Rs. 79,000 c) Rs. 78,000. d) Rs. 77,000?
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Activity P is followed by Activity Q which in turn, is followed by act...
Solution:

To find the minimum possible direct cost for a total duration of 21 days, we need to use the feasible durations table and check all the possible combinations of the three activities.

We can use the following steps to find the minimum cost:

Step 1: Find the feasible durations for each activity.

Activity P: 7, 8

Activity Q: 6, 7

Activity R: 8, 9

Step 2: Calculate the direct cost for all the feasible durations of the activities.

Activity P:

For duration 7 days, direct cost = Rs. 12,000

For duration 8 days, direct cost = Rs. 14,000

Activity Q:

For duration 6 days, direct cost = Rs. 20,000

For duration 7 days, direct cost = Rs. 23,000

Activity R:

For duration 8 days, direct cost = Rs. 40,000

For duration 9 days, direct cost = Rs. 42,000

Step 3: Find all the possible combinations of feasible durations for the three activities that add up to 21 days.

7-7-7

7-6-8

8-6-7

8-7-6

Step 4: Calculate the total direct cost for each combination and choose the minimum cost.

For combination 7-7-7, total direct cost = Rs. (12,000+23,000+40,000) = Rs. 75,000

For combination 7-6-8, total direct cost = Rs. (12,000+20,000+42,000) = Rs. 74,000

For combination 8-6-7, total direct cost = Rs. (14,000+20,000+40,000) = Rs. 74,000

For combination 8-7-6, total direct cost = Rs. (14,000+23,000+27,000) = Rs. 64,000

Therefore, the minimum possible direct cost for a total duration of 21 days is Rs. 74,000.

Answer: b) Rs. 79,000
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Activity P is followed by Activity Q which in turn, is followed by activity R. The direct cost of these activities in relation to the choice of feasible durations table is given below : Activity. Activity. Activity P. Q. R Duration. in days. 7 6 5 8 7 6 9 8 7 Direct Cost. 12 14 15 20 23 27 40 42 45 Rs. '000 For all the three activities taken together, the minimum possible direct cost for a total duration of 21 days will be a) Rs.81,000. b) Rs. 79,000 c) Rs. 78,000. d) Rs. 77,000?
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Activity P is followed by Activity Q which in turn, is followed by activity R. The direct cost of these activities in relation to the choice of feasible durations table is given below : Activity. Activity. Activity P. Q. R Duration. in days. 7 6 5 8 7 6 9 8 7 Direct Cost. 12 14 15 20 23 27 40 42 45 Rs. '000 For all the three activities taken together, the minimum possible direct cost for a total duration of 21 days will be a) Rs.81,000. b) Rs. 79,000 c) Rs. 78,000. d) Rs. 77,000? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Activity P is followed by Activity Q which in turn, is followed by activity R. The direct cost of these activities in relation to the choice of feasible durations table is given below : Activity. Activity. Activity P. Q. R Duration. in days. 7 6 5 8 7 6 9 8 7 Direct Cost. 12 14 15 20 23 27 40 42 45 Rs. '000 For all the three activities taken together, the minimum possible direct cost for a total duration of 21 days will be a) Rs.81,000. b) Rs. 79,000 c) Rs. 78,000. d) Rs. 77,000? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Activity P is followed by Activity Q which in turn, is followed by activity R. The direct cost of these activities in relation to the choice of feasible durations table is given below : Activity. Activity. Activity P. Q. R Duration. in days. 7 6 5 8 7 6 9 8 7 Direct Cost. 12 14 15 20 23 27 40 42 45 Rs. '000 For all the three activities taken together, the minimum possible direct cost for a total duration of 21 days will be a) Rs.81,000. b) Rs. 79,000 c) Rs. 78,000. d) Rs. 77,000?.
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