A Manufacturer Has an Order for 1100 Units of Fine $x _ { 1 }$

question 40

Multiple Choice

A manufacturer has an order for 1100 units of fine paper that can be produced at two locations. Let $x _ { 1 }$ and $x _ { 2 }$ be the numbers of units produced at the two plants. Find the number of units that should be produced at each plant to minimize the cost if the cost function is given by $C = 0.2 x _ { 1 } ^ { 2 } + 25 x _ { 1 } + 0.05 x _ { 2 } ^ { 2 } + 12 x _ { 2 }$ .

• A) \(x _ { 1 } = 388\) units and \(x _ { 2 } = 906\) units
• B) \(x _ { 1 } = 906\) units and \(x _ { 2 } = 194\) units
• C) \(x _ { 1 } = 194\) units and \(x _ { 2 } = 906\) units
• D) \(x _ { 1 } = 194\) units and \(x _ { 2 } = 1812\) units
• E) \(x _ { 1 } = 1812\) units and \(x _ { 2 } = 388\) units

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Definitions:

Neural Networks

Computational models designed to simulate the behavior of human brain networks, used in machine learning and artificial intelligence.

Glial Cells

Specialized cells in the nervous system that support, protect, and nourish neurons, playing a crucial role in maintaining homeostasis in the brain.

Peripheral Nervous System

The part of the nervous system that consists of the nerves and ganglia outside of the brain and spinal cord, responsible for transmitting information to and from the central nervous system.

Autonomic Nervous System

The part of the nervous system that controls involuntary bodily functions such as heart rate, digestion, and respiratory rate.