A firm operates two types of machines A and B as shown in the table. Type AType BMaximum Space AvailableFloor Space Available 3218Number of Workers5330 The ratio of machines of type A to those of type B should be greater than one.Tasks Define the term linear programming Write down four inequalities to represent the information above.If the profit from using type A machine is Shs 6000 per hour and that of B is Shs 9000 per hour, write down the expression for the profit in terms of and Find the number of machines of each type that should be in operation to give the maximum profit. Hence find the maximum profit What advice do you give to this company’s manager

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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A firm operates two types of machines A and B as shown in the table.

	Type A	Type B	Maximum Space Available
Floor Space Available	3	2	18
Number of Workers	5	3	30

The ratio of machines of type A to those of type B should be greater than one.

Tasks

Define the term linear programming
Write down four inequalities to represent the information above.
If the profit from using type A machine is Shs 6000 per hour and that of B is Shs 9000 per hour, write down the expression for the profit in terms of and
Find the number of machines of each type that should be in operation to give the maximum profit. Hence find the maximum profit
What advice do you give to this company’s manager

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