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

question 19

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:

Scheduling Decision

Refers to the process of planning and organizing tasks and workloads to ensure efficient use of resources and time.

Goods-Producing

Refers to industries or sectors of the economy that directly manufacture or produce tangible products, as opposed to providing services.

Service Companies

Businesses primarily engaged in providing services rather than goods to customers.

Location Decision

The process of determining the most appropriate geographical location for a company's operations, services, or manufacturing facilities.