# Manufacturing and Industrial Engineering [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 100 - 101 of 115

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## Question 100

Appeared in Year: *2021*

### Question

MCQ▾A factory produces m products, each of which requires processing on n workstations. Let be the amount of processing time that one unit of the i^{th} product requires on the j^{th} workstation. Let the revenue from selling one unit of the i^{th} product be and be the holding cost per unit per time period for the i^{th} product. The planning horizon consists of T time periods. The minimum demand that must be satisfied in time period t is . and the capacity of the j^{th} workstation in time period t is . Consider the aggregate planning formulation below, with decision variables (amount of product i sold in time period t) . (Amount of product i manufactured in time period t) and (amount of product i held in inventory at the end of time period t) .

subject to

< capacity constraint >

< inventory balance constraint >

The capacity constraints and inventory balance constraints for this formulation respectively are

(February Shift 2)

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 101

Appeared in Year: *2021*

### Question

MCQ▾Value of using Simpson՚s one third rule with interval size 0.3 is ________. (February Shift 2)

### Choices

Choice (4) | Response | |
---|---|---|

a. | 1.06 | |

b. | 1.51 | |

c. | 1.83 | |

d. | 1.60 |