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?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Topic Video
Question

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).

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning