A Paper Mill Has Received an Order for Rolls of Paper

question 27

Essay

A paper mill has received an order for rolls of paper. The customer wants 400 12" wide rolls, 300 18" rolls and 200 24" rolls. The company has 40" wide rolls of paper which it can slit to the appropriate width. The company wants to minimize the number of rolls it must use to fill the order.
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Formulate the LP for this problem.

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Definitions:

Parity

A concept of economic equality or equivalence, such as between currencies or in the income levels between groups.

Price Supports

Government interventions to maintain the market price of a commodity or product at a certain level, often to protect producers from market fluctuations.

Marketing Loan Program

A federal farm subsidy under which certain farmers can receive a loan (on a per-unit-of-output basis) to plant a crop and then, depending on the harvest price of the crop, either pay back the loan with interest or keep the loan proceeds while forfeiting their harvested crop to the lender.

Loan Price

The total financial cost of borrowing, including interest rates and any additional fees charged by the lender.