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Use the Scenario Below to Answer the Following Question(s)

question 55

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Use the scenario below to answer the following question(s) .
A company makes standard 115-inch-wide rolls of thin sheet metal,and slits them into smaller rolls to meet customer orders for widths of 13,16,and 25 inches.The demands for these widths vary from week to week.From a 115-inch roll,there are many different ways to slit 13-,16-,and 25-inch pieces.
A cutting pattern is a configuration of the number of smaller rolls of each type that are cut from the raw stock.Of course,one would want to use as much of the roll as possible to avoid costly scrap.For example,one could cut seven 16-inch rolls,leaving a 3-inch piece of scrap.Finding good cutting patterns for a large set of end products is in itself a challenging problem.Suppose that the company has proposed the following cutting patterns: Use the scenario below to answer the following question(s) . A company makes standard 115-inch-wide rolls of thin sheet metal,and slits them into smaller rolls to meet customer orders for widths of 13,16,and 25 inches.The demands for these widths vary from week to week.From a 115-inch roll,there are many different ways to slit 13-,16-,and 25-inch pieces. A cutting pattern is a configuration of the number of smaller rolls of each type that are cut from the raw stock.Of course,one would want to use as much of the roll as possible to avoid costly scrap.For example,one could cut seven 16-inch rolls,leaving a 3-inch piece of scrap.Finding good cutting patterns for a large set of end products is in itself a challenging problem.Suppose that the company has proposed the following cutting patterns:   Demands this week are 1,000 13-inch rolls,1,430 16-inch rolls,and 1,260 25-inch rolls.The problem is to develop a model that will determine how many 115-inch rolls to cut into each of the six patterns in order to meet demand and scrap. Define X<sub>i</sub> to be the number of 115-inch rolls to cut using cutting pattern i,for i = 1,…,6. Note that X<sub>i</sub> needs to be a whole number because each roll that is cut generates a different number of end items. -If we are to use Solver to generate the optimal solution,determine the number of 115-inch rolls produced using the cutting pattern 1. A) 172 units B) 1,264 units C) 316 units D) 0 units Demands this week are 1,000 13-inch rolls,1,430 16-inch rolls,and 1,260 25-inch rolls.The problem is to develop a model that will determine how many 115-inch rolls to cut into each of the six patterns in order to meet demand and scrap.
Define Xi to be the number of 115-inch rolls to cut using cutting pattern i,for i = 1,…,6.
Note that Xi needs to be a whole number because each roll that is cut generates a different number of end items.
-If we are to use Solver to generate the optimal solution,determine the number of 115-inch rolls produced using the cutting pattern 1.


Definitions:

Cash Dividends

Distributions of a company's earnings to shareholders in the form of cash.

Dividends Payable

A liability recorded when a company declares dividends but has not yet paid them to shareholders.

Cash Payments

Outflows of cash made by a business, including expenses, creditor payments, and other liabilities, during a specific period.

Statement of Cash Flows

It's a financial document summarizing the total cash entering a company from operational earnings and investment revenues, as well as the cash spent on business-related activities and investment outlays during a specific period.

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