A shop has 4 workers and 4 works to be performed The estimate of time...
70.2K
Verified Solution
Link Copied!
Question
Algebra
A shop has 4 workers and 4 works to be performed The estimate of time man hours each man will take to perform each project is given in the following table How should the works to be allotted so as to optimise the total work 1 2 3 4 1 2 3 1 4 19 2 3 4 Solution Step 1 Given matrix is 1 1 8 2 13 3 4 38 19 8 13 38 19 26 0 9 23 28 4 26 9 26 24 10 Step 2 Here the given matrix is a square matrix Hence the assignment problem is a balanced problem Subtracting minimum cost of each row of the cost matrix we obtain the following matrix 17 2 3 4 11 26 17 11 18 15 28 4 26 1 2 3 4 19 18 15 26 24 10 18 24 4 16 9 3 0 22 3 0 28 14 0 Step 3 Subtracting minimum cost of each column of the modified cost matrix we obtain the following matrix 12 3 4
Answer & Explanation
Solved by verified expert
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
