GATE PI year:2022 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

A machine component is to be processed at 5 workstations sequentially. The table provides the cycle time (in second) of each workstation. In mass production, the number of components produced per hour (in steady state) is____________. [in integer]

Workstation | Cycle time of each workstation (second) WS-1 | 85 WS-2 | 55 WS-3 | 90 WS-4 | 65 WS-5 | 70

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A vaccine has to be distributed from two warehouses to three hospitals. The supplies at warehouses W₁ and W₂ are 200 and 150, respectively. The demands at hospitals H₁, H₂, and H₃ are 100, 150 and 125, respectively. The transportation cost (in ₹) per vaccine is as follows:

| | H₁ | H₂ | H₃ | | W₁ | 5 | 7 | 3 | | W₂ | 4 | 6 | 7 |

The initial basic feasible solution using the Northwest-corner method provides the total transportation cost (in ₹) as____________. [round off to nearest integer]

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Consider the linear programming problem:

Maximize

subject to

(C₁)

(C₂)

(C₃)

The optimal solution is given as

and

. The dual variables of constraints C₁, C₂ and C₃ are

and

, respectively. The optimal values of dual variables are

and

. The value of parameter P in the objective function is____________. [round off to one decimal place]

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A company is planning to produce 24 electric cars per day. The setup cost of the plant is estimated as ₹ 1476 million and the variable cost is ₹ 0.6 million per car. The car will be sold at a price of ₹ 1.5 million. The number of days required for achieving the breakeven is____________. [round off to nearest integer]

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A company forecasts the weekly demand of oxygen cylinders using exponential smoothing method with smoothing constant

. The actual demands in Week 1, Week 2, Week 3 and Week 4 were 375, 412, 592 and 439 units, respectively. The forecasted demand for Week 3 was 500 units. The forecast (in unit) for the Week 5 is____________. [in integer]

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GATE PI year:2022 PYQs

Question 61

Question 62

Question 63

Question 64

Question 65