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

question 49

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 porti on of the objective function that represents inventory cost.
There will be three constraints that guarantee, for each month, that the total number of
c. sprinklers shipped will not exceed the shipping capacity. Write these three constraints.
There are six constraints that work with inventory and the number of units shipped, making
d. sure that enough sprinklers are shipped to meet the minimum requirements. Write these six constr aints.

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Definitions:

Accounts Receivable Turnover

A financial metric that measures how frequently a business can convert its accounts receivable into cash over a specific period.

Inventory Turnover

Inventory turnover is a ratio showing how many times a company's inventory is sold and replaced over a period, indicating the efficiency of inventory management.

Operating Cycle

The period between the acquisition of inventory by a business and the collection of accounts receivable generated from the sale of that inventory.

Acquisition Of Inventory

The process through which a business purchases goods to be sold, which may be raw materials for manufacturing or finished goods for resale.