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Use the table below to answer the following question(s).

Pickson Luthiers Corporation makes four models of electric guitars, ScarCT, Dela Mort, Warax, and Invazen. Each guitar must flow through five departments, assembly, painting, sound testing, inspection, and packaging. The table below shows the relevant data. Production rates are shown in units/hour. (ScarCT is assembled elsewhere). Pickson wants to determine how many guitars to make to maximize monthly profit.

Pickson Luthiers

Corporation

Data

Selling Variable

Guitar Model

price/Unit

cost/Unit

Min Sales  Max Sales

ScarCT 750.00  660.00  0 2500

Dela Mort 788.00  680.00  0 2000

Warax 800.00  700.00  100 1000

Invazen 850.00  800.00  80 500

Production rates

(units/hour) ScarCT Dela Mort Warax Invazen  Hours

Available

Assembly - 35 25 20 220

Painting 35 20 15 10 220

Sound Testing  20 10 20 18 220

Inspection              10 12 8 5 220

Packaging              9 10 5 8 220

Use a linear optimization model based on the data to answer the following question.

41. According to the linear optimization model, what would be the total time spent on inspecting the Dela Mort models?

A.158.33

B.12.5

C.85

D.48

Business Analytics, 2e   315

42. According to the linear optimization model, what would be the total time spent for sound testing the Warax model?

A.5

B.4

C.6

D.10.5

43. According to the linear optimization model, what would be the total time spent for assembling the Invazen models?

A.8

B.4

C.16

D.10

44. According to the linear optimization model, what would be the total time spent for packaging the Invazen models?

A.8

B.16

C.20

D.10

45. According to the linear optimization model, what is the total hours spent for painting all the models?

A.220

B.94.94

C.109.67

D.199.44

46. According to the linear optimization model, which of the following departments uses all the time that it is allocated to finish its job?

A.assembly

B.painting

C.inspection

D.packaging

47. According to the linear optimization model, what is the total number of ScarCTs produced?

A.2500

B.750

C.0

D.100

Business Analytics, 2e   317

48. According to the linear optimization model, what is the net profit per unit on Dela Mort?

A.$205,200

B.$108

C.$680

D.$90

49. According to the linear optimization model, what is the total profit contribution by the Invazen model?

A.$205,200

B.$20,000

C.$10,000

D.$4,000

50. According to the linear optimization model, what is the total profit for the Pickson Luthiers Corporation?

A.$10,000

B.$199,880

C.$205,200

D.$219,200

 

 

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