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:

Instrumental Conditioning

A learning process in which an individual's behavior is modified by the consequences, often through rewards or punishments.

Throughout The Brain

Pertains to processes, actions, or conditions affecting or involving the entire brain.

Pavlovian Conditioning

A form of learning in which a neutral stimulus is paired with a response-producing stimulus until the neutral stimulus alone elicits the response.

Cerebellum

A large structure of the hindbrain that controls fine motor skills, balance, and coordination.