A company produces fragrances A, B, and C. There is virtually unlimited market demand for these. Fragrance A sells for $10 per gallon, B for $56 per gallon, and C for $100 per gallon. Producing 1 gallon of A requires 1 hour of labor; producing 1gallon of B requires 2 hours of labor plus 2 gallons of A; producing 1 gallon of C requires 3 hours of labor plus 1 gallon of B. Any A used to produce B cannot be sold (and same for B used in C). A total of 40 labor hours are available. Formulate a linear program to maximize the company’s revenue.

A company produces fragrances A, B, and C. There is virtually unlimited market demand for these. Fragrance A sells for $10 per gallon, B for $56 per gallon, and C for $100 per gallon. Producing 1 gallon of A requires 1 hour of labor; producing 1gallon of B requires 2 hours of labor plus 2 gallons of A; producing 1 gallon of C requires 3 hours of labor plus 1 gallon of B. Any A used to produce B cannot be sold (and same for B used in C). A total of 40 labor hours are available. Formulate a linear program to maximize the company’s revenue.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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