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A Furniture Store Has Set Aside 800 Square Feet to Display

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Essay

A furniture store has set aside 800 square feet to display its sofas and chairs.Each sofa utilizes 50 sq.ft.and each chair utilizes 30 sq.ft.At least five sofas and at least five chairs are to be displayed.
a.Write a mathematical model representing the store's constraints.
b.Suppose the profit on sofas is $200 and on chairs is $100.On a given day,the probability that a displayed sofa will be sold is .03 and that a displayed chair will be sold is .05.Mathematically model each of the following objectives:
1. Maximize the total pieces of furniture displayed.
2. Maximize the total expected number of daily sales.
3. Maximize the total expected daily profit.

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Definitions:

Inconsequential

means not important or significant; having little or no importance.

Deceptive

Pertaining to or involving deceit; misleading or giving a false impression.

Convicted Criminals

Individuals who have been found guilty of committing a crime by a court of law.

Skilled Workers

Employees who have specialized training or expertise, often requiring formal education or apprenticeship, in a particular craft or profession.

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