GATE MN 2019 Paper 1 — page 16

Questions 46–48 of 65. Imported answers require review unless explicitly marked reviewed.

A double ended ranging drum shearer operates in a longwall retreating panel. The following data are provided:

Face length: 200 m Web depth: 0.6 m Cutting height: 2.5 m Density of coal: 1.4 tonne/m

Average cutting speed: 1.5 m/min Average flitting speed: 4.0 m/min Number of shifts/day: 3

Method of cutting is unidirectional and each shift requires a non-operational time of 2.0 hours. The production per day in tonne (rounded off to one decimal place) is

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In the linear programming problem,

Maximize

Subject to:

, and

The value of Z is

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A shovel operates 300 days in a year, 2 shifts in a day, and 4 hours in a shift to achieve the target production of 30 Million tonne per annum. The following parameters relate to the loading operation:

Bucket capacity of shovel: 15 m

Shovel cycle time: 44 s Bucket fill factor: 0.85 Bulk density of the muck: 3.00 tonne/m

The minimum number of shovels required to achieve the production is

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2019 · Paper 1

Question 36

Question 37

Question 38