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Mathematical Logic
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Index Numbers
- Index Numbers
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- Simple Aggregate Method
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- Method of Constructing Cost of Living Index Numbers - Family Budget Method
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Linear Programming
Assignment Problem and Sequencing
Probability Distributions
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- Binomial Distribution
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Continuity
Differentiation
Applications of Derivative
Indefinite Integration
Definite Integrals
Ratio, Proportion and Partnership
Commission, Brokerage and Discount
Insurance and Annuity
Demography
Bivariate Data and Correlation
Regression Analysis Introduction
Random Variable and Probability Distribution
Management Mathematics
Related QuestionsVIEW ALL [9]
Find the optimal sequence that minimizes total time required to complete the following jobs in the order ABC. The processing times are given in hrs.
Job | 1 | 2 | 3 | 4 | 5 |
Machine A | 5 | 7 | 6 | 9 | 5 |
Machine B | 2 | 1 | 4 | 5 | 3 |
Machine C | 3 | 7 | 5 | 6 | 7 |
A publisher produces 5 books on Mathematics. The books have to go through composing, printing and binding done by 3 machines P, Q, R. The time schedule for the entire task in proper unit is as follows.
Book | A | B | C | D | E |
Machine P | 4 | 9 | 8 | 6 | 5 |
Machine Q | 5 | 6 | 2 | 3 | 4 |
Machine R | 8 | 10 | 6 | 7 | 11 |
Determine the optimum time required to finish the entire task.
Solve the following problem :
A chartered accountant’s firm has accepted five new cases. The estimated number of days required by each of their five employees for each case are given below, where - means that the particular employee cannot be assigned the particular case. Determine the optimal assignment of cases of the employees so that the total number of days required to complete these five cases will be minimum. Also find the minimum number of days.
Employee | Cases | ||||
I | II | III | IV | V | |
E1 | 6 | 4 | 5 | 7 | 8 |
E2 | 7 | – | 8 | 6 | 9 |
E3 | 8 | 6 | 7 | 9 | 10 |
E4 | 5 | 7 | – | 4 | 6 |
E5 | 9 | 5 | 3 | 10 | – |
Find the optimal sequence that minimizes total time required to complete the following jobs in the order ABC. The processing times are given in hours.
Jobs | I | II | III | IV | V | VI | VII |
Machine A | 6 | 7 | 5 | 11 | 6 | 7 | 12 |
Machine B | 4 | 3 | 2 | 5 | 1 | 5 | 3 |
Machine C | 3 | 8 | 7 | 4 | 9 | 8 | 7 |