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Kejora Mills Sdn. Bhd. processes two types of rice, Basmati rice and Brown rice and has a total production capacity of 9 tonnes per day. Both rice require the same production capacity. The company has a contract to supply at least 2 tonnes of Basmati rice and at least 3 tonnes of Brown rice per day. Each tonne of Basmati rice requires 20 machine hours of production time and each tonne of Brown rice requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. All of the company's output can be sold. The profit made is RM80 per tonne of Basmati rice and RM120 per tonne of Brown Rice. Formulate the appropriate linear programming problem and determine the production schedule that yields the maximum profit.

Kejora Mills Sdn. Bhd. processes two types of rice, Basmati rice and Brown rice and has a total production capacity of 9 tonnes per day. Both rice require the same production capacity. The company has a contract to supply at least 2 tonnes of Basmati rice and at least 3 tonnes of Brown rice per day. Each tonne of Basmati rice requires 20 machine hours of production time and each tonne of Brown rice requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. All of the company's output can be sold. The profit made is RM80 per tonne of Basmati rice and RM120 per tonne of Brown Rice. Formulate the appropriate linear programming problem and determine the production schedule that yields the maximum profit.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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2. Kejora Mills Sdn. Bhd. processes two types of rice, Basmati rice and Brown rice and has a total production capacity of 9 tonnes per day. Both rice require the same production capacity. The company has a contract to supply at least 2 tonnes of Basmati rice and at least 3 tonnes of Brown rice per day. Each tonne of Basmati rice requires 20 machine hours of production time and each tonne of Brown rice requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. All of the company's output can be sold. The profit made is RM80 per tonne of Basmati rice and RM120 per tonne of Brown Rice. Formulate the appropriate linear programming problem and determine the production schedule that yields the maximum profit.
Transcribed Image Text:2. Kejora Mills Sdn. Bhd. processes two types of rice, Basmati rice and Brown rice and has a total production capacity of 9 tonnes per day. Both rice require the same production capacity. The company has a contract to supply at least 2 tonnes of Basmati rice and at least 3 tonnes of Brown rice per day. Each tonne of Basmati rice requires 20 machine hours of production time and each tonne of Brown rice requires 50 machine hours of production time. The daily maximum possible number of machine hours is 360. All of the company's output can be sold. The profit made is RM80 per tonne of Basmati rice and RM120 per tonne of Brown Rice. Formulate the appropriate linear programming problem and determine the production schedule that yields the maximum profit.
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