QUESTION 2 Molitup Limited (ML) manufactures three products: Product MM, Product LL and Product TT. The contribution per unit of the respective products is as follows: Product MM Product LL Product TT Contribution per unit £600 £500 £800 Three processes are required for the manufacture of these products: Process Alpha, Process Beta and Process Gamma. The processing time (in hours) required for the manufacture of a unit of each product is as follows: Product MM Product LL Product TT Process Alpha Process Beta 20 30 80 50 90 60 Process Gamma 40 20 60 The monthly availability of Process Alpha, Process Beta and Process Gamma are limited to 40,000 hours, 80,000 hours and 50,000 hours respectively. The objective of the company is to maximise contribution. Required: а) Formulate the initial simplex tableau to be used for the determination of the optimum monthly production plan.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
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QUESTION 2
Molitup Limited (ML) manufactures three products: Product MM, Product LL and Product TT. The
contribution per unit of the respective products is as follows:
Product MM
Product LL
Product TT
Contribution per unit
£600
£500
£800
Three processes are required for the manufacture of these products: Process Alpha, Process
Beta and Process Gamma. The processing time (in hours) required for the manufacture of a unit
of each product is as follows:
Product MM
Product LL
Product TT
Process Alpha
Process Beta
20
30
80
60
50
90
Process Gamma
40
20
60
The monthly availability of Process Alpha, Process Beta and Process Gamma are limited to
40,000 hours, 80,000 hours and 50,000 hours respectively.
The objective of the company is to maximise contribution.
Required:
a)
Formulate the initial simplex tableau to be used for the determination of the optimum
monthly production plan.
Transcribed Image Text:QUESTION 2 Molitup Limited (ML) manufactures three products: Product MM, Product LL and Product TT. The contribution per unit of the respective products is as follows: Product MM Product LL Product TT Contribution per unit £600 £500 £800 Three processes are required for the manufacture of these products: Process Alpha, Process Beta and Process Gamma. The processing time (in hours) required for the manufacture of a unit of each product is as follows: Product MM Product LL Product TT Process Alpha Process Beta 20 30 80 60 50 90 Process Gamma 40 20 60 The monthly availability of Process Alpha, Process Beta and Process Gamma are limited to 40,000 hours, 80,000 hours and 50,000 hours respectively. The objective of the company is to maximise contribution. Required: a) Formulate the initial simplex tableau to be used for the determination of the optimum monthly production plan.
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