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Solve the following LP using Simplex method Maximize Z = 70x + 140 y Profit in '00 Rs Subject to 30 x + 20 y < 360 10 x + 40 y< 100 х, у 2 0 Machine hours Raw material (kg) Non-negative You are required to find (a) Optimum product mix and max. profit. (b) Whether machine hours are fully utilized or not. If machine is made available for one more hour what is the effect on the profit? (c) If the optimal solution obtained does not require the production of some product, explain as to why such product would not be produced. In this context, indicate the quantity (quantities) of other products that would be foregone for producing such a product. (d) What would be the effect on the solution of each of the following: i. Obtaining an order for 2 units of product B, which must be met. ii. An increase of 10 per cent capacity in the Raw material.

Solve the following LP using Simplex method Maximize Z = 70x + 140 y Profit in '00 Rs Subject to 30 x + 20 y < 360 10 x + 40 y< 100 х, у 2 0 Machine hours Raw material (kg) Non-negative You are required to find (a) Optimum product mix and max. profit. (b) Whether machine hours are fully utilized or not. If machine is made available for one more hour what is the effect on the profit? (c) If the optimal solution obtained does not require the production of some product, explain as to why such product would not be produced. In this context, indicate the quantity (quantities) of other products that would be foregone for producing such a product. (d) What would be the effect on the solution of each of the following: i. Obtaining an order for 2 units of product B, which must be met. ii. An increase of 10 per cent capacity in the Raw material.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Solve the following LP using Simplex method Maximize Z = 70x + 140 y Profit in '00 Rs Subject to 30 x + 20 y < 360 10 x + 40 y< 100 х, у 2 0 Machine hours Raw material (kg) Non-negative You are required to find (a) Optimum product mix and max. profit. (b) Whether machine hours are fully utilized or not. If machine is made available for one more hour what is the effect on the profit? (c) If the optimal solution obtained does not require the production of some product, explain as to why such product would not be produced. In this context, indicate the quantity (quantities) of other products that would be foregone for producing such a product. (d) What would be the effect on the solution of each of the following: i. Obtaining an order for 2 units of product B, which must be met. ii. An increase of 10 per cent capacity in the Raw material.
Transcribed Image Text:Solve the following LP using Simplex method Maximize Z = 70x + 140 y Profit in '00 Rs Subject to 30 x + 20 y < 360 10 x + 40 y< 100 х, у 2 0 Machine hours Raw material (kg) Non-negative You are required to find (a) Optimum product mix and max. profit. (b) Whether machine hours are fully utilized or not. If machine is made available for one more hour what is the effect on the profit? (c) If the optimal solution obtained does not require the production of some product, explain as to why such product would not be produced. In this context, indicate the quantity (quantities) of other products that would be foregone for producing such a product. (d) What would be the effect on the solution of each of the following: i. Obtaining an order for 2 units of product B, which must be met. ii. An increase of 10 per cent capacity in the Raw material.
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