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OptimizationGroupProjectInstructionsW126.doc

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Groupprojectinstructions.docx

Please submit ONE EXCEL file AND ONE WORD file.

Prepare a  business memo  to report and discuss your findings on this case and answer the case questions.  Follow proper formatting including APA style to prepare the report and include NSU Cover Sheet at the beginning of the report.

The (volunteer) Team Leaders will coordinate the work done by other team members and facilitate communications with the team, and serve as team liaison with the instructor. The team lead should upload the final report and Excel file with the complete solutions.

For full credit, submit the following. 1. Formatted business report (see #2 Part C) 2. One Excel file coded with formulas (no hard-coded numbers) containing the following 2 (or 3) models      a. Initial optimization model (#1 Part A)      b. Outsourcing model (#1 Part B)      c. Advertising tradeoff (optional)

CurrentAffairsDataGP.xlsx

Initial

Costs and prices: r = regular time; o = overtime
Table lamps (T) Floor lamps (F) Ceiling lamps (C ) Pendant lamps (P)
Tr To Fr Fo Cr Co Pr Po
Sales price 128 128 150 150 105 105 160 160
Material costs 57 57 95 95 60 60 80 80
Production costs 16 18 16 18 12 15 12 15
Unit profit
Department 1 Department 2
Decision Variables:
Tr To Fr Fo Cr Co Pr Po
Units produced
T F C P
Advertising
Objective function:
max (Profit) =
Constraints:
Capacity constraints: LHS RHS
Department 1 regular time 0 100000
Department 1 overtime 25000
Department 2 regular time 90000
Department 2 overtime 24000
Demand constraints:
Table lamps 60000
Floor lamps 20000
Ceiling lamps 100000
Pendant lamps 35000
Advertising constraint 0 18000

CurrentAffairsLightingCompanyCaseGP.doc

Current Affairs Lighting Company

The Current Affairs Lighting Company manufactures four types of lamps at its factory including table lamps, floor lamps, ceiling lamps, and pendant lamps. Table 1 presents the average material costs for each of the products. Each product is made in one of two production processes by purchasing components, assembling and testing the product, and finally packaging it for shipping. Table lamps and floor lamps go through the assembly and finishing process in Department 1, while ceiling fixtures and pendant lamps go through the process in Department 2. Variable production costs and capacities are shown in Table 2. The capacities are measured in units of product. Note that there are regular and overtime possibilities for each department.

Average selling prices for the four products are known, and estimates have been made of the market demand for each product at these prices (see Table 3). Sales levels can also be affected by advertising expenditures. Starting with the demand levels in the table, in advertising raises the demand by the percentage shown in the last row times the amount spent on advertising. For example, an increase in advertising of $5,000 for table lamps would raise demand by 600 units. However, there is a budget limit of $18,000 on the total amount to be spent on advertising among all four products.

Table 1

Product

Table

Floor

Ceiling

Pendant

Material cost

$57

$95

$60

$80

Table 2

Process

Regular Time

Overtime

Unit Cost

Capacity

Unit Cost

Capacity

Department 1

$16

100,000

$18

25,000

Department 2

$12

90,000

$15

24,000

Table 3

Table

Floor

Ceiling

Pendant

Selling price

$128

$150

$105

$160

Potential sales (000)

60

20

100

35

Advertising effect

12.5%

10.5%

9%

15.5%

This problem was taken from Powell, S.G. and Baker, K.R. (2007). Management Science: The Art of Modeling with Spreadsheets, 2nd ed., Hoboken, NJ: John Wiley & Sons, Inc., p. 280-281

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