Exam 3: Linear Programming Modeling Applications with Computer Analyses in Excel

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Diet and feed mix problems are special classes of the general product mix problem.

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Use this information to answer the following questions. A beer distributor wants to prepare an aggregate plan for the next 6 weeks.Demand can be met using regular time production,overtime production,or a combination of both as illustrated below: Use this information to answer the following questions. A beer distributor wants to prepare an aggregate plan for the next 6 weeks.Demand can be met using regular time production,overtime production,or a combination of both as illustrated below:    -Refer to the table above.Assume that beginning inventory is zero.Use Excel to formulate and solve this multiperiod production problem to minimize total costs. -Refer to the table above.Assume that beginning inventory is zero.Use Excel to formulate and solve this multiperiod production problem to minimize total costs.

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Use this information to answer the following questions. Consider the following product mix problem and its associated spreadsheet model. Max 3+3 Subject to: 2+3\leq10 (constraint \#1) 3+2\leq20 (constraint \#2) \geq5 (constraint \#3) ,\geq0 (non-negativity)  Use this information to answer the following questions. Consider the following product mix problem and its associated spreadsheet model.   \begin{array} { l l l }  \operatorname { Max } & 3 \mathrm { X } _ { 1 } + 3 \mathrm { X } _ { 2 } & \\ \text { Subject to: } & \\ & 2 \mathrm { X } _ { 1 } + 3 \mathrm { X } _ { 2 } \leq 10 & \text { (constraint \#1) } \\ & 3 \mathrm { X } _ { 1 } + 2 \mathrm { X } _ { 2 } \leq 20 & \text { (constraint \#2) } \\ &\mathrm { X } _ { 1 } \geq 5 & \text { (constraint \#3) } \\ &\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0 & \text { (non-negativity) } \end{array}      -Refer to the spreadsheet above.Which cell(s)designates the objective function as specified in Solver? -Refer to the spreadsheet above.Which cell(s)designates the objective function as specified in "Solver"?

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In a multi-period production scheduling application,the decision variables typically designate:

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Use this information to answer the following questions. Consider the following product mix problem and its associated spreadsheet model. Max 3+3 Subject to: 2+3\leq10 (constraint \#1) 3+2\leq20 (constraint \#2) \geq5 (constraint \#3) ,\geq0 (non-negativity)  Use this information to answer the following questions. Consider the following product mix problem and its associated spreadsheet model.   \begin{array} { l l l }  \operatorname { Max } & 3 \mathrm { X } _ { 1 } + 3 \mathrm { X } _ { 2 } & \\ \text { Subject to: } & \\ & 2 \mathrm { X } _ { 1 } + 3 \mathrm { X } _ { 2 } \leq 10 & \text { (constraint \#1) } \\ & 3 \mathrm { X } _ { 1 } + 2 \mathrm { X } _ { 2 } \leq 20 & \text { (constraint \#2) } \\ &\mathrm { X } _ { 1 } \geq 5 & \text { (constraint \#3) } \\ &\mathrm { X } _ { 1 } , \mathrm { X } _ { 2 } \geq 0 & \text { (non-negativity) } \end{array}      -Refer to the spreadsheet above.Which cell(s)specifies the changing cells in Solver? -Refer to the spreadsheet above.Which cell(s)specifies the "changing cells" in Solver?

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A manufacturer of 19" LCD monitors encounters the following quarterly production cost,demand,and production capacity for its monitors: A manufacturer of 19 LCD monitors encounters the following quarterly production cost,demand,and production capacity for its monitors:     To maintain a stable workforce,the manufacturer wants to produce at least 500 units each quarter.To meet unexpected fluctuation in demand,the company wants to hold at least 100 monitors in stock each quarter.The cost of carrying a monitor in stock is $5 each quarter.Assume that beginning inventory is zero.Use Excel to formulate and solve this problem to determine to minimize production and inventory costs. To maintain a stable workforce,the manufacturer wants to produce at least 500 units each quarter.To meet unexpected fluctuation in demand,the company wants to hold at least 100 monitors in stock each quarter.The cost of carrying a monitor in stock is $5 each quarter.Assume that beginning inventory is zero.Use Excel to formulate and solve this problem to determine to minimize production and inventory costs.

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The objective function of the "Diet" problem is usually to maximize the food ingredient combination to satisfy a stated nutritional requirement.

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Use this information to answer the following questions. A company can ship its product from any of its three factories,F1,F2,and F3,to any of its retail outlets,R1,R2,and R3.The capacity,demand,and shipping cost information is provided as follows: Demand (units) Capacity (units) R1:300 F1:250 R2: 500 F2:350 R3:200 F3:400 Shipping Cost/unit ($) 1 2 3 1 1 3 2 F2 3 4 2 F3 2 2 3 -Refer to the information above.Assume that demand for retail outlet three (R3)increases to 300 units.How will this affect the shipping cost? Use Excel to formulate and solve this problem

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The media selection problem can have which of the following objectives?

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Which of the following statements is False regarding employee staffing applications?

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Use this information to answer the following questions. A company can ship its product from any of its three factories,F1,F2,and F3,to any of its retail outlets,R1,R2,and R3.The capacity,demand,and shipping cost information is provided as follows: Demand (units) Capacity (units) R1:300 F1:250 R2: 500 F2:350 R3:200 F3:400 Shipping Cost/unit ($) 1 2 3 1 1 3 2 F2 3 4 2 F3 2 2 3 -Refer to the information above.The company wants to come up with an optimal shipping strategy to minimize its total shipping cost.Use Excel to formulate and solve this problem.

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A company produces two products,X₁,and X₂.The constraint that illustrates the consumption of a given resource in making the two products is given by: 3X₁+5X₂ ≤ 120.This relationship implies that both products can consume more than 120 units of that resource.

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The objective function of a transportation problem is to:

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A company is considering various advertising media to promote its new toy.Pertinent information regarding potential customers reached and costs per advertisement is given below: No. of Customers Media Maximum Times Reached Cost per Available per Month Advertisement Daytime TV 1000 10 \ 2000 Evening TV 3000 8 \ 3500 Daytime Radio 500 15 \ 1000 Evening radio 750 15 \ 1500 Newspaper 900 4 \ 500 Currently,the company has a monthly advertising budget of $150,000.The marketing department has imposed the following restrictions: •No more than $20,000 may be spent on radio advertising each month. •At least 5 TV ads must be used each month. Use Excel to formulate and solve this problem to maximize monthly audience exposure.

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A company manufactures two types of lawn mowers: riding mowers and push mowers.The company has the option of manufacturing the mowers in-house or outsourcing the entire operation.In-house manufacturing requires the following four operations: production,assembly,electrical wiring,and final inspection.The following table summarizes the weekly hours of processing time available and the processing time required by each operation. A company manufactures two types of lawn mowers: riding mowers and push mowers.The company has the option of manufacturing the mowers in-house or outsourcing the entire operation.In-house manufacturing requires the following four operations: production,assembly,electrical wiring,and final inspection.The following table summarizes the weekly hours of processing time available and the processing time required by each operation.     The company has a weekly demand of 5 riding mowers and 3 push mowers.The company makes its riding mowers in-house for $500 each and its push mower for $200 each.Alternatively,it can outsource its riding and push mowers for $550 and $225 each,respectively.Use Excel to formulate and solve this make or buy problem. The company has a weekly demand of 5 riding mowers and 3 push mowers.The company makes its riding mowers in-house for $500 each and its push mower for $200 each.Alternatively,it can outsource its riding and push mowers for $550 and $225 each,respectively.Use Excel to formulate and solve this "make" or "buy" problem.

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Use this information to answer the following questions. The following table contains information on the cost to run four jobs (1,2,3,and 4)on four available machines (A,B,C,and D). Use this information to answer the following questions. The following table contains information on the cost to run four jobs (1,2,3,and 4)on four available machines (A,B,C,and D).    -Refer to the table above.Use Excel to model and solve this problem to determine the least costly job-machine assignment. -Refer to the table above.Use Excel to model and solve this problem to determine the least costly job-machine assignment.

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The "Transportation" problem involves determining the amount of goods to be transported from a number of origins to a number of destinations.

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Production,inventory,and demand are typical decision variables in a production scheduling,multi-period linear programming application.

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A furniture manufacturer produces three products,desks,tables,and chairs.These products can be produced during either the morning shift or the evening shift.The morning shift has a labor cost of $20 per hour with a maximum availability of 20,000 hours.The evening shift has a labor cost of $25 per hour and is limited to 15,000 hours.The labor,lumber,and demand requirements are given as follows: A furniture manufacturer produces three products,desks,tables,and chairs.These products can be produced during either the morning shift or the evening shift.The morning shift has a labor cost of $20 per hour with a maximum availability of 20,000 hours.The evening shift has a labor cost of $25 per hour and is limited to 15,000 hours.The labor,lumber,and demand requirements are given as follows:     Assume that there are 20,000 pounds of lumber and 20,000 pounds of nails available for both shifts. Use Excel to formulate and solve this problem to minimize total labor cost. Assume that there are 20,000 pounds of lumber and 20,000 pounds of nails available for both shifts. Use Excel to formulate and solve this problem to minimize total labor cost.

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In a multi-period production scheduling application,which equation describes the relationship between demand,production,and inventory?

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