chocolate manufacture sells three types of chocolate: A, B, and C. All three types require Milk and choco but types 2 & 3 require peanuts also. Each unit of A requires 1 unit of milk and 2 units of choco. Each unit of B needs 1 unit of milk, 3 units of choco, and 40 grams of peanuts. Each unit of C requires 1 unit of milk, 1 unit of choco and 50 grams of peanuts. Each working day, the company has 25 units of milk, 50 units of choco and 1.5 kilograms (Kg) of peanuts. The time required to manufacture each unit of A is 20 minutes, each unit of B is 25 minutes, and each unit of C is 30 minutes. The cost of each unit of milk is $0.5, each unit of choco is $1.5, and each 1 Kg of peanuts is $5. The company sells each unit of A at $4, each unit of B at $6, and each unit of C at $8. Each working day, the manufacture has 4 hours available for making all three types of chocolate. Formulate an LP that can be used to maximize the manufacture daily profit?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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chocolate manufacture sells three types of chocolate: A, B, and C. All three types require Milk and choco but types 2 & 3 require peanuts also. Each unit of A requires 1 unit of milk and 2 units of choco. Each unit of B needs 1 unit of milk, 3 units of choco, and 40 grams of peanuts. Each unit of C requires 1 unit of milk, 1 unit of choco and 50 grams of peanuts. Each working day, the company has 25 units of milk, 50 units of choco and 1.5 kilograms (Kg) of peanuts. The time required to manufacture each unit of A is 20 minutes, each unit of B is 25 minutes, and each unit of C is 30 minutes. The cost of each unit of milk is $0.5, each unit of choco is $1.5, and each 1 Kg of peanuts is $5. The company sells each unit of A at $4, each unit of B at $6, and each unit of C at $8. Each working day, the manufacture has 4 hours available for making all three types of chocolate. Formulate an LP that can be used to maximize the manufacture daily profit? (DO NOT SOLVE).

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