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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 |
Concept: undefined >> undefined
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.
Concept: undefined >> undefined
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In sequencing, an optimal path is one that minimizes _______.
Concept: undefined >> undefined
If jobs A to D have processing times as 5, 6, 8, 4 on first machine and 4, 7, 9, 10 on second machine then the optimal sequence is ______.
Concept: undefined >> undefined
Solve the following problem :
Consider the problem of assigning five operators to five machines. The assignment costs are given in following table.
| Operator | Machine | ||||
| 1 | 2 | 3 | 4 | 5 | |
| A | 6 | 6 | – | 3 | 7 |
| B | 8 | 5 | 3 | 4 | 5 |
| C | 10 | 4 | 6 | – | 4 |
| D | 8 | 3 | 7 | 8 | 3 |
| E | 7 | 6 | 8 | 10 | 2 |
Operator A cannot be assigned to machine 3 and operator C cannot be assigned to machine 4. Find the optimal assignment schedule.
Concept: undefined >> undefined
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 | – |
Concept: undefined >> undefined
Choose the correct alternative:
If for a bivariate data, bYX = – 1.2 and bXY = – 0.3, then r = ______
Concept: undefined >> undefined
Choose the correct alternative:
If the regression equation X on Y is 3x + 2y = 26, then bxy equal to
Concept: undefined >> undefined
Choose the correct alternative:
If byx < 0 and bxy < 0, then r is ______
Concept: undefined >> undefined
Choose the correct alternative:
|byx + bxy| ≥ ______
Concept: undefined >> undefined
Choose the correct alternative:
Find the value of the covariance between X and Y, if the regression coefficient of Y on X is 3.75 and σx = 2, σy = 8
Concept: undefined >> undefined
Choose the correct alternative:
bxy and byx are ______
Concept: undefined >> undefined
Choose the correct alternative:
If r = 0.5, σx = 3, `σ_"y"^2` = 16, then byx = ______
Concept: undefined >> undefined
Choose the correct alternative:
If r = 0.5, σx = 3, σy2 = 16, then bxy = ______
Concept: undefined >> undefined
Choose the correct alternative:
Both the regression coefficients cannot exceed 1
Concept: undefined >> undefined
State whether the following statement is True or False:
If byx = 1.5 and bxy = `1/3` then r = `1/2`, the given data is consistent
Concept: undefined >> undefined
State whether the following statement is True or False:
If bxy < 0 and byx < 0 then ‘r’ is > 0
Concept: undefined >> undefined
The following data is not consistent: byx + bxy =1.3 and r = 0.75
Concept: undefined >> undefined
State whether the following statement is True or False:
If u = x – a and v = y – b then bxy = buv
Concept: undefined >> undefined
State whether the following statement is True or False:
Corr(x, x) = 0
Concept: undefined >> undefined
