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In a network, a project activity has normal cost and normal duration of Rs. 400 and 8 days respectively. The same activity has crash cost and crash duration of Rs. 800 and 6 days. The crash cost slope of activity is;
- a)50
- b)100
- c)150
- d)200
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a network, a project activity has normal cost and normal duration ...
Cost Slope: In actual practice, we assume the time-cost curve to be linear between crash point A and Normal point B. The curve(shown below) shows that there is a change in cost for change in time. The term ‘cost-slope’ is defined as the “increase in the cost of the activity per unit decrease in the time”.
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Mathematically, we can say,
Cost slope = [Crash cost – Normal cost]/[Normal time – Crash time]
In simple words, we can say that the cost slope of an activity is the increase in cost of an activity by reducing the duration by one unit.
So, Cost Slope = (Crash Cost-Normal Cost)/(Normal time - Crash time) = 800-400/8-6 = 200.
Most Upvoted Answer
In a network, a project activity has normal cost and normal duration ...
To determine the crash cost slope of an activity, we need to calculate the cost increase per unit of time reduction.
Given data:
Normal cost (Cn) = Rs. 400
Normal duration (Dn) = 8 days
Crash cost (Cc) = Rs. 800
Crash duration (Dc) = 6 days
First, we calculate the cost slope (CS) using the formula:
CS = (Cc - Cn) / (Dn - Dc)
Step 1: Calculate the difference in cost and duration
ΔC = Cc - Cn = 800 - 400 = Rs. 400
ΔD = Dn - Dc = 8 - 6 = 2 days
Step 2: Calculate the cost slope
CS = ΔC / ΔD = 400 / 2 = Rs. 200 per day
Therefore, the crash cost slope of the activity is Rs. 200.
Explanation:
- The cost slope represents the increase in cost per unit of time reduction.
- In this case, to reduce the duration of the activity by 2 days, the cost increases by Rs. 400.
- Thus, the cost increases by Rs. 200 per day of reduction in the duration of the activity.
- This indicates that for every day the activity is crashed, an additional cost of Rs. 200 is incurred.
Hence, the correct answer is option 'D' (200).
Given data:
Normal cost (Cn) = Rs. 400
Normal duration (Dn) = 8 days
Crash cost (Cc) = Rs. 800
Crash duration (Dc) = 6 days
First, we calculate the cost slope (CS) using the formula:
CS = (Cc - Cn) / (Dn - Dc)
Step 1: Calculate the difference in cost and duration
ΔC = Cc - Cn = 800 - 400 = Rs. 400
ΔD = Dn - Dc = 8 - 6 = 2 days
Step 2: Calculate the cost slope
CS = ΔC / ΔD = 400 / 2 = Rs. 200 per day
Therefore, the crash cost slope of the activity is Rs. 200.
Explanation:
- The cost slope represents the increase in cost per unit of time reduction.
- In this case, to reduce the duration of the activity by 2 days, the cost increases by Rs. 400.
- Thus, the cost increases by Rs. 200 per day of reduction in the duration of the activity.
- This indicates that for every day the activity is crashed, an additional cost of Rs. 200 is incurred.
Hence, the correct answer is option 'D' (200).
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In a network, a project activity has normal cost and normal duration of Rs. 400 and 8 days respectively. The same activity has crash cost and crash duration of Rs. 800 and 6 days. The crash cost slope of activity is;a)50b)100c)150d)200Correct answer is option 'D'. Can you explain this answer?
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In a network, a project activity has normal cost and normal duration of Rs. 400 and 8 days respectively. The same activity has crash cost and crash duration of Rs. 800 and 6 days. The crash cost slope of activity is;a)50b)100c)150d)200Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a network, a project activity has normal cost and normal duration of Rs. 400 and 8 days respectively. The same activity has crash cost and crash duration of Rs. 800 and 6 days. The crash cost slope of activity is;a)50b)100c)150d)200Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a network, a project activity has normal cost and normal duration of Rs. 400 and 8 days respectively. The same activity has crash cost and crash duration of Rs. 800 and 6 days. The crash cost slope of activity is;a)50b)100c)150d)200Correct answer is option 'D'. Can you explain this answer?.
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