The Deinell-Forging-Corporation manufactures four highly confidential productsthat it supplies to ammunition firms that hold RSA government contracts. Eachproduct must pass through the following departments before being shipped:forging, cleaning, weighing, and inspection. The time requirement in hours foreach unit and its corresponding profit value are summarised in the followingtable:DepartmentProduct Forging Cleaning Weighing Inspection|хм122Unit profit (Rand)0.60.30.30.511000XJ3121.542.14000RM122RM1261.52.1.0.5170001.1.513000Monthly available production in each department and the minimum monthlyproduction requirement to fulfil these contracts are:СараcityDepartme (hours) Product Minimum production levelForgingCleaningWeighingInspectior 10000 RM12613000 XM12213015000 XJ3128024000 RM122260320The production manager needs to specify production levels for each product forthe next month. Formulate this problem to help him maximise the total profit.(10)

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The Deinell-Forging-Corporation manufactures four highly confidential products that it supplies to ammunition firms that hold RSA government contracts. Each product must pass through the following departments before being shipped: forging, cleaning, weighing, and inspection. The time requirement in hours for each unit and its corresponding profit value are summarised in the following table: Department Product Forging Cleaning Weighing Inspection XM122 Unit profit (Rand) 0.6 0.3 0.3 0.5 11000 XJ312 1.5 4 2 14000 RM122 1.5 0.5 17000 RM126 1 2 1.5 13000 Monthly available production in each department and the minimum monthly production requirement to fulfil these contracts are:

The Deinell-Forging-Corporation manufactures four highly confidential products that it supplies to ammunition firms that hold RSA government contracts. Each product must pass through the following departments before being shipped: forging, cleaning, weighing, and inspection. The time requirement in hours for each unit and its corresponding profit value are summarised in the following table: Department Product Forging Cleaning Weighing Inspection XM122 Unit profit (Rand) 0.6 0.3 0.3 0.5 11000 XJ312 1.5 4 2 14000 RM122 1.5 0.5 17000 RM126 1 2 1.5 13000 Monthly available production in each department and the minimum monthly production requirement to fulfil these contracts are:

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The Deinell-Forging-Corporation manufactures four highly confidential products
that it supplies to ammunition firms that hold RSA government contracts. Each
product must pass through the following departments before being shipped:
forging, cleaning, weighing, and inspection. The time requirement in hours for
each unit and its corresponding profit value are summarised in the following
table:
Department
Product Forging Cleaning Weighing Inspection
|хм122
Unit profit (Rand)
0.6
0.3
0.3
0.5
11000
XJ312
1.5
4
2.
14000
RM122
RM126
1.5
2.
1.
0.5
17000
1.
1.5
13000
Monthly available production in each department and the minimum monthly
production requirement to fulfil these contracts are:
Сараcity
Departme (hours) Product Minimum production level
Forging
Cleaning
Weighing
Inspectior 10000 RM126
13000 XM122
130
15000 XJ312
80
24000 RM122
260
320
The production manager needs to specify production levels for each product for
the next month. Formulate this problem to help him maximise the total profit.
(10)

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