A Company Makes Two Models of Doghouses The Total Times Available for Assembling, Painting, and Packaging Are

question 45

Multiple Choice

A company makes two models of doghouses. The times (in hours) required for assembling, painting, and packaging are shown in the table. $\begin{array} { l l l } \text { Process } & \text { Model A } & \text { Model B } \\\text { Assembling } & 2.5 & 3 \\\text { Painting } & 2 & 1 \\\text { Packaging } & 0.75 & 1.25\end{array}$ The total times available for assembling, Painting, and packaging are 4000 hours, 2500 hours, and 1500 hours, respectively. The profits per unit are $60 for model A and $75 for model B. what is the optimal production level for each model? What is the optimal profit?

• A)The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,571.
• B)The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,535.
• C)The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $97,500.
• D)The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $90,000.
• E)The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $75,000.

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Definitions:

Sympathetic Nervous System

Part of the autonomic nervous system that activates the body's rapid involuntary response to dangerous or stressful situations.

Subjective Awareness

The state of being conscious of one’s thoughts, feelings, and surroundings from a personal perspective.

Cortex

The brain's outermost layer, which plays a crucial role in advanced functions including consciousness, thinking, emotions, logical analysis, language acquisition, and remembering.

Hypothalamus

A small, crucial region of the brain located near the base, involved in many processes, including hormone production, regulation of hunger, sleep, mood, and autonomic functions.