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A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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
Subject to
<Capacity constraint>
<Inventory balance constraint>
The capacity constraints and inventory balance constraints for this formulation respectively are
- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A factory produces m(i = 1, 2, ......, m) products, each of which requ...
Product (m) → i ... m
Workstation (n) → j ... n
aij = time, ri = selling price, hi = holding cost
T → t = 1, 2, ... T
dit = demand of the product in time t, cjt = capacity of workstation in time t, Sit = Number of products sold in time t,
xit = Number of product produced in time t,
Iit = Number of product i hold in inventory at end of period t
Capacity constraint
aijxit ≤ cjt
Inventory constraint
Iit = Ii, t - 1 + xit - Sit
Workstation (n) → j ... n
aij = time, ri = selling price, hi = holding cost
T → t = 1, 2, ... T
dit = demand of the product in time t, cjt = capacity of workstation in time t, Sit = Number of products sold in time t,
xit = Number of product produced in time t,
Iit = Number of product i hold in inventory at end of period t
Capacity constraint
aijxit ≤ cjt
Inventory constraint
Iit = Ii, t - 1 + xit - Sit
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A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer?
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A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer?.
Solutions for A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A factory produces m(i = 1, 2, ......, m) products, each of which requires processing on n ( j = 1, 2, ...., n) workstations. Let aij be the amount of processing time that one unit of the ith product requires on the jth workstation. Let the revenue from selling one unit of the ith product be ri and hi be the holding cost per unit per time period for the ith product. The planning horizon consists of T (t = 1, 2, .....,T ) time periods. The minimum demand that must be satisfied in time period t is dit and the capacity of the jth workstation in time period t is cjt . Consider the aggregate planning formulation below, with decision variables Sit (amount of product i sold in time period t ), Xit (amount of product i manufactured in time period t ) and Iit (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 a)b)c)d)Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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