A Manufacturer Has the Capability to Produce Both Chairs and Tables

question 13

Multiple Choice

A manufacturer has the capability to produce both chairs and tables. Both products use the same materials (wood, nails and paint) and both have a setup cost ($100 for chairs, $200 for tables) . The firm earns a profit of $20 per chair and $65 per table and can sell as many of each as it can produce. The daily supply of wood, nails and paint is limited. To manage the decision-making process, an analyst has formulated the following linear programming model:
Max 20x1 + 65x2 - 100y1 - 200y2
s.t. 5x1 + 10x2 ? 100 {Constraint 1}
20x1 + 50x2 ? 250 {Constraint 2}
1x1 + 1.5x2 ? 10 {Constraint 3}
My1 ? x1 {Constraint 4}
My2 ? x2 {Constraint 5} $$y _ { i } = \left\{ \begin{array} { l } 1 , \text { if product } j \text { is produced } \\0 , \text { otherwise }\end{array} \right.$$
Which of the following would be a reasonable value for the variable "M"?

• A) 100
• B) 10
• C) 1
• D) 0.1
• E) 0.01

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Definitions:

Abnormal Behaviour

Actions or reactions that deviate significantly from what is considered normal or expected within a society or cultural context.

Psychological Variables

Factors that are measured in psychological research, which can influence or define mental processes and behaviors.

Medical Variables

Factors that can influence health outcomes, including genetic predisposition, lifestyle choices, environmental exposures, and access to care.

Physical Health Variables

Aspects or measures of an individual's physical state that can influence or indicate the status of their physical health.