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A company manufactures two products P₁ and P2. Profit per unit for P₁ is Rs. 200 and for P2 is Rs. 300. Three raw materials M₁, M2 and M3 are required. One unit of P₁ needs 5 units of M₁ and 10 units of M₂. One unit of P2 needs 18 units of M2 and 10 units of M3. Availability is 50 units of M₁, 90 units of M₂ and 50 units of M3. Formulate as LPP.

A company manufactures two products P₁ and P2. Profit per unit for P₁ is Rs. 200 and for P2 is Rs. 300. Three raw materials M₁, M2 and M3 are required. One unit of P₁ needs 5 units of M₁ and 10 units of M₂. One unit of P2 needs 18 units of M2 and 10 units of M3. Availability is 50 units of M₁, 90 units of M₂ and 50 units of M3. Formulate as LPP.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 11P
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A company manufactures two products P₁ and P2. Profit per unit for P₁ is Rs. 200 and for P2 is Rs. 300. Three raw materials M₁, M₂ and M3 are required. One unit of P₁ needs 5 units of M₁ and 10 units of M₂. One unit of P₂ needs 18 units of M₂ and 10 units of M3. Availability is 50 units of M₁, 90 units of M₂ and 50 units of M3. Formulate as LPP. 8. A firm produces two products X and Y. Minimum 50 units of X should be produced. There is no limit for producing Y. Profit per unit is Rs. 100 for X and Rs. 150 for Y. Product X Resource Requirement 20 Machine Hours 10 Labour Hours Resource Availability Machine Hours = 2500 Labour Hours = 3000 Y 10 Machine Hours 15 Labour Hours Formulate as LPP.
Transcribed Image Text:A company manufactures two products P₁ and P2. Profit per unit for P₁ is Rs. 200 and for P2 is Rs. 300. Three raw materials M₁, M₂ and M3 are required. One unit of P₁ needs 5 units of M₁ and 10 units of M₂. One unit of P₂ needs 18 units of M₂ and 10 units of M3. Availability is 50 units of M₁, 90 units of M₂ and 50 units of M3. Formulate as LPP. 8. A firm produces two products X and Y. Minimum 50 units of X should be produced. There is no limit for producing Y. Profit per unit is Rs. 100 for X and Rs. 150 for Y. Product X Resource Requirement 20 Machine Hours 10 Labour Hours Resource Availability Machine Hours = 2500 Labour Hours = 3000 Y 10 Machine Hours 15 Labour Hours Formulate as LPP.
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