GATE PI 2021 Paper 1 — page 14

Questions 40–42 of 65. Imported answers require review unless explicitly marked reviewed.

In the classical economic order quantity (EOQ) model, let

and

denote the optimal order quantity and the corresponding minimum total annual cost (the sum of the inventory holding and ordering costs). If the order quantity is estimated incorrectly as

, then the corresponding total annual cost

Your answerChoose one option.

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The eigenvalues of matrix

are 5 and 10. For matrix

, where

is a constant and

is a 2×2 identity matrix, its eigenvalues are

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5, 10

5 + α, 10 + α

5 - α, 10 - α

5α, 10α

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A company manufactures two products P and Q with unit profit of 4 and 5, respectively. The production requires manpower and two kinds of raw materials R1 and R2. The following table summarizes the requirement and availability of resources.

Resource	Resource usage per unit of production P	Q	Amount of resource available
manpower	1	1	10
R1	1	2	18
R2	2	1	18

The maximum profit the company can make is

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2021 · Paper 1

Question 30

Question 31

Question 32