Mechanical Engineering
2021 · Paper 2
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2021 Paper 2 overview, original pages and practice · Timed previous-paper practice
Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.
Question 27
Open questionMEMCQ2 marksNeeds review
Let the superscript
represent the transpose operation. Consider the function
, where
and
are
vectors and
is a symmetric
matrix. The stationary point of
isYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
Consider the following differential equation
The solution of the equation that satisfies the condition
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 29
Open questionMEMCQ2 marksNeeds review
A factory produces
(
) products, each of which requires processing on
(
) workstations. Let
be the amount of processing time that one unit of the
product requires on the
workstation. Let the revenue from selling one unit of the
product be
and
be the holding cost per unit per time period for the
product. The planning horizon consists of
(
) time periods. The minimum demand that must be satisfied in time period
is
and the capacity of the
workstation in time period
is
. Consider the aggregate planning formulation below, with decision variables
(amount of product
sold in time period
),
(amount of product
manufactured in time period
) and
(amount of product
held in inventory at the end of time period
).
The capacity constraints and inventory balance constraints for this formulation areYour answerChoose one option.
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