Bayer Pharmaceutical Produces Three Kinds of Cold Formulas: Formula I

question 62

Multiple Choice

Bayer Pharmaceutical produces three kinds of cold formulas: formula I, formula II, and formula III. It takes 2.5 hr to produce 1,000 bottles of formula I, 3 hr to produce 1,000 bottles of formula II, and 4 hr to produce 1,000 bottles of formula III. The profits for each 1,000 bottles of formula I, formula II, and formula III are $180, $200, and $300, respectively. For a certain production run, there are enough ingredients on hand to make at most 8,000 bottles of formula I, 15,000 bottles of formula II, and 7,000 bottles of formula III. Furthermore, the time for the production run is limited to a maximum of 65 hr. How many bottles of each formula should be produced in this production run so that the profit is maximized?

• A) Minimize P = 180x + 200y + 300z subject to
• B) Minimize P = 180x + 200y + 300z subject to
• C) Minimize P = 180x + 200y + 300z subject to
• D) Maximize P = 180x + 200y + 300z subject to
• E) Maximize P = 180x + 200y + 300z subject to

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Definitions:

Ethmoid

A spongy, cuboid-shaped bone located at the roof of the nasal cavity and part of the floor of the anterior cranial fossa; crucial for olfaction and nasal support.

Olfactory Perception

The sense of smell, a complex process involving the detection and identification of volatile substances by the olfactory system.

Constricted Pupils

A condition where the pupils are smaller than usual, often due to light exposure, drug use, or autonomic nervous system activity.

Parasympathetic Division

Another term for the parasympathetic nervous system, focusing on slowing the heart rate, increasing intestinal and gland activity, and relaxing sphincter muscles.