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

question 32

Multiple Choice

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_i to be the number of 115-inch rolls to cut using cutting pattern i,for i = 1,…,6.
Note that X_i needs to be a whole number because each roll that is cut generates a different number of end items.
-Using Solver,determine the number of 115-inch rolls produced with the cutting pattern 6.

• A)172 units
• B)316 units
• C)114 units
• D)0 units

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Definitions:

Total Revenue

The total amount of money received by a firm from the sale of goods or services before any costs or expenses are subtracted.

Average Variable Cost

The total variable costs (costs that change with production volume) divided by the number of units produced, representing the variable cost per unit.

Marginal Cost (MC)

Marginal Cost, abbreviated as MC, refers to the increase in total production cost that arises from producing an additional unit of output, emphasizing the concept of optimizing production levels.

Average Total Cost (ATC)

The total cost divided by the quantity of output produced, representing the per-unit cost of production.