Consider the production scheduling problem of the perfume Polly named after a famouscelebrity. The manufacturer of the perfume must plan production for the first four monthsof the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons in January,February, March, and April, respectively. At the beginning of the year the company has aninventory of 2000 gallons. The company is planning on issuing a new and improved perfumecalled Pollygone in May, so that all Polly produced must be sold by the end of April. Assume1that the production cost for January and February is $5 per gallon and this will rise to $5.5per gallon in March and April. The company can hold any amount produced in a certainmonth over to the next month at an inventory cost of $1 per unit.Question: Formulate a linear optimization model that will minimize the costs incurredin meeting the demand for Polly in the period January through April. Assume for simplicitythat any amount produced in a given month may be used to fulfill demand for that month.

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Description: Consider the production scheduling problem of the perfume Polly named after a famouscelebrity. The manufacturer of the perfume must plan production for the first four monthsof the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons i

Let x1,x2,x3,x4 be number of gallon produced in four months respectively. And the cost for inventory…

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Consider the production scheduling problem of the perfume Polly named after a famous celebrity. The manufacturer of the perfume must plan production for the first four months of the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons in January, February, March, and April, respectively. At the beginning of the year the company has an inventory of 2000 gallons. The company is planning on issuing a new and improved perfume called Pollygone in May, so that all Polly produced must be sold by the end of April. Assume 1

Consider the production scheduling problem of the perfume Polly named after a famous celebrity. The manufacturer of the perfume must plan production for the first four months of the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons in January, February, March, and April, respectively. At the beginning of the year the company has an inventory of 2000 gallons. The company is planning on issuing a new and improved perfume called Pollygone in May, so that all Polly produced must be sold by the end of April. Assume 1

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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Question

Consider the production scheduling problem of the perfume Polly named after a famous
celebrity. The manufacturer of the perfume must plan production for the first four months
of the year and anticipates a demand of 4000, 5000, 6000, and 4500 gallons in January,
February, March, and April, respectively. At the beginning of the year the company has an
inventory of 2000 gallons. The company is planning on issuing a new and improved perfume
called Pollygone in May, so that all Polly produced must be sold by the end of April. Assume
1
that the production cost for January and February is $5 per gallon and this will rise to $5.5
per gallon in March and April. The company can hold any amount produced in a certain
month over to the next month at an inventory cost of $1 per unit.
Question: Formulate a linear optimization model that will minimize the costs incurred
in meeting the demand for Polly in the period January through April. Assume for simplicity
that any amount produced in a given month may be used to fulfill demand for that month.

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