A Furniture Store Has Set Aside 800 Square Feet to Display

question 22

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.
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:

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Definitions:

Moral Development

The method by which people cultivate appropriate feelings and actions towards others within a community, in accordance with societal and cultural standards, regulations, and legislation.

Gilligan

Carol Gilligan is a psychologist best known for her work on ethical community and ethical relationships, and certain criticisms of Kohlberg's stages of moral development.

Kohlberg

A theorist known for his work in the development of moral reasoning, proposing that moral development progresses through a series of stages.

Conventional

Based on or in accordance with what is generally done or believed.