Exam 14: Optimization Models

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In transportation problems,the three sets of input numbers that are required are capacities,demands,and flows.

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Which of the following is not a required input for a typical transportation problem?

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In nonlinear models,which of the following statements are correct?

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If If   refers to the number of hours that employee   works in week   ,then to indicate that the number of working hours of four employees in week 3 should not exceed 160 hours,we must have a constraint of the form refers to the number of hours that employee If   refers to the number of hours that employee   works in week   ,then to indicate that the number of working hours of four employees in week 3 should not exceed 160 hours,we must have a constraint of the form works in week If   refers to the number of hours that employee   works in week   ,then to indicate that the number of working hours of four employees in week 3 should not exceed 160 hours,we must have a constraint of the form ,then to indicate that the number of working hours of four employees in week 3 should not exceed 160 hours,we must have a constraint of the form

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A company manufactures two products.If it charges price A company manufactures two products.If it charges price   for product I,it can sell   units of product I,where   and   .It costs $25 to produce a unit of product 1 and $72 to produce a unit of product 2.How many units of each product should the company produce,and what prices should it charge,to maximize its profit? for product I,it can sell A company manufactures two products.If it charges price   for product I,it can sell   units of product I,where   and   .It costs $25 to produce a unit of product 1 and $72 to produce a unit of product 2.How many units of each product should the company produce,and what prices should it charge,to maximize its profit? units of product I,where A company manufactures two products.If it charges price   for product I,it can sell   units of product I,where   and   .It costs $25 to produce a unit of product 1 and $72 to produce a unit of product 2.How many units of each product should the company produce,and what prices should it charge,to maximize its profit? and A company manufactures two products.If it charges price   for product I,it can sell   units of product I,where   and   .It costs $25 to produce a unit of product 1 and $72 to produce a unit of product 2.How many units of each product should the company produce,and what prices should it charge,to maximize its profit? .It costs $25 to produce a unit of product 1 and $72 to produce a unit of product 2.How many units of each product should the company produce,and what prices should it charge,to maximize its profit?

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Aggregate planning models are usually implemented through a rolling planning horizon.

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Transportation and transshipment problems are both considered special cases of a class of linear programming problems called _____ problems.

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Laila,an Egyptian broker,is currently trying to maximize her profit in the bond market.Four bonds are available for purchase and sale at the bid and ask prices shown in the table below: Laila,an Egyptian broker,is currently trying to maximize her profit in the bond market.Four bonds are available for purchase and sale at the bid and ask prices shown in the table below:   Laila can buy up to 1000 units of each bond at the ask price or sell up to 1000 units of each bond at the bid price.During each of the next 3 years,the person who sells a bond will pay the owner of the bond the cash payments shown in the table below:   Laila's goal is to maximize her revenue from selling bonds less her payment for buying bonds,subject to the constraint that after each year's payments are received,her current cash position (due only to cash payments from bonds and not purchases or sales of bonds)is nonnegative.Note that her current cash position can depend on past coupons and that cash accumulated at the end of each year earns 13% annual interest.Determine how to maximize net profit from buying and selling bonds,subject to the constraints previously described.Why do you think we limit the number of units of each bond that can be bought or sold? Laila can buy up to 1000 units of each bond at the ask price or sell up to 1000 units of each bond at the bid price.During each of the next 3 years,the person who sells a bond will pay the owner of the bond the cash payments shown in the table below: Laila,an Egyptian broker,is currently trying to maximize her profit in the bond market.Four bonds are available for purchase and sale at the bid and ask prices shown in the table below:   Laila can buy up to 1000 units of each bond at the ask price or sell up to 1000 units of each bond at the bid price.During each of the next 3 years,the person who sells a bond will pay the owner of the bond the cash payments shown in the table below:   Laila's goal is to maximize her revenue from selling bonds less her payment for buying bonds,subject to the constraint that after each year's payments are received,her current cash position (due only to cash payments from bonds and not purchases or sales of bonds)is nonnegative.Note that her current cash position can depend on past coupons and that cash accumulated at the end of each year earns 13% annual interest.Determine how to maximize net profit from buying and selling bonds,subject to the constraints previously described.Why do you think we limit the number of units of each bond that can be bought or sold? Laila's goal is to maximize her revenue from selling bonds less her payment for buying bonds,subject to the constraint that after each year's payments are received,her current cash position (due only to cash payments from bonds and not purchases or sales of bonds)is nonnegative.Note that her current cash position can depend on past coupons and that cash accumulated at the end of each year earns 13% annual interest.Determine how to maximize net profit from buying and selling bonds,subject to the constraints previously described.Why do you think we limit the number of units of each bond that can be bought or sold?

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Many organizations must determine how to schedule employees to provide adequate service.If we assume that an organization faces the same situation each week,this is referred to as a(n)_____ scheduling problem.

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The decision variables in transportation problems are

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In aggregate planning models,we can model backlogging of demand by allowing a month's inventory to be negative.

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A common characteristic of integer programming models is that they

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In transportation problems,shipments between supply points or between demand points are possible.

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Which of the following does not represent a broad class of applications of linear programming models?

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Which of the following is not an example of a fixed cost?

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Integer programming (IP)models are optimization models in which all of the variables must be integers.

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In a network representation of a transportation problem,the arcs generally represent

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In a transshipment problem,shipments

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The LP relaxation of an integer programming (IP)problem is the same model as the IP model except that some integer constraints are omitted.

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Your friend is moving from Michigan to Indiana and has rented a truck that can haul up to 1100 cubic feet of furniture.The volume and value of each item he considered moving on the truck are given below. Your friend is moving from Michigan to Indiana and has rented a truck that can haul up to 1100 cubic feet of furniture.The volume and value of each item he considered moving on the truck are given below.   Which items did he take with him to Indiana? What is the value of these items? Which items did he take with him to Indiana? What is the value of these items?

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