A&C Distributors Is a Company That Represents Many Outdoor Products

question 29

Essay

A&C Distributors is a company that represents many outdoor products companies and schedules deliveries to discount stores,garden centers,and hardware stores.Currently,scheduling needs to be done for two lawn sprinklers,the Water Wave and Spring Shower models.Requirements for shipment to a warehouse for a national chain of garden centers are shown below.

Let S_ij be the number of units of sprinkler i shipped in month j,where i = 1 or 2,and j = 1,2,or 3.Let W_ij be the number of sprinklers that are at the warehouse at the end of a month,in excess of the minimum requirement.
a Write the portion of the objective function that minimizes shipping costs.
b.An inventory cost is assessed against this ending inventory.Give the portion of the objective function that represents inventory cost.
c.There will be three constraints that guarantee,for each month,that the total number of sprinklers shipped will not exceed the shipping capacity.Write these three constraints.
d.There are six constraints that work with inventory and the number of units shipped,making sure that enough sprinklers are shipped to meet the minimum requirements.Write these six constraints.

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Definitions:

Proportionate Share

An individual's or entity's part or share of something in relation to the whole, usually expressed as a percentage.

Held-to-maturity

Held-to-maturity refers to an investment strategy where the investor intends to hold a financial asset until its maturity date.

Fair Value

The estimated market price at which an asset or liability could be bought or sold in a transaction between willing parties.

Held-to-maturity Investments

Securities that a company has the intent and ability to hold until a fixed maturity date, typically reported at amortized cost on the balance sheet.