A Chair Company Produces Two Models of Chairs,the Sequoia and the Saratoga.The

question 6

Essay

A chair company produces two models of chairs,the Sequoia and the Saratoga.The Sequoia model takes 3 hours to assemble and
hour to paint.The Saratoga model takes 2 hours to assemble and 1 hour to paint.The maximum number of hours available to assemble is 24 per day and the maximum number of hours available to paint is 8 per day.
(a)If the company earns a profit of $20 per Sequoia model and $30 per Saratoga model,find the number of models produced per day in order to maximize profit.
(b)If the company earns a profit of $30 per Sequoia model and $15 per Saratoga model,find the number of models produced per day in order to maximize profit.
(c)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga.The maximum number of hours available to detail is 18 per day.If the company earns a profit of $45 per Sequoia model and $35 per Saratoga model,find the number of models produced per day in order to maximize profit.
(d)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga.The maximum number of hours available to detail is 18 per day.If the company earns a profit of $30 per Sequoia model and $40 per Saratoga model,find the number of models produced per day in order to maximize profit.

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Definitions:

Point Of Insertion

A specific location where something is to be inserted, often used in surgical or medical contexts to designate where tools, implants, or other items are introduced into the body.

Muscle

A tissue in the body capable of contracting, which enables movement of the body and maintenance of posture.

Arytenoid

A pair of cartilages located in the larynx, to which the vocal cords are attached, playing a key role in speech and breathing.

Cricothyroid

Relating to the cricothyroid muscle or membrane, involved in the regulation of voice pitch.