A Mop Company Can Produce Mops Using X Units

question 2

Multiple Choice

A mop company can produce mops using x units of capital and y units of labor, with production costs dollars. With a budget of $500,000, the maximum production is 65,000, using $350,000 in capital and $150,000 in labor. The Lagrange multiplier is . What is the practical meaning of the statement ?

• A)If the number of units of labor is increased by 1, we expect the number of mops to increase by about 0.3.
• B)If the number of units of capital is increased by 1, we expect the budget to increase by about $0.3.
• C)If the budget is increased by $1, we expect the number of mops to increase by about 0.3.
• D)If the number of mops is increased by 1, we expect the budget to increase by about $0.3.

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Definitions:

Epithalamus

A posterior segment of the diencephalon of the brain, involved in the regulation of sleep-wake cycles and the secretion of melatonin from the pineal gland.

Corpora Quadrigemina

Located in the midbrain, the corpora quadrigemina is composed of four colliculi - two superior and two inferior - involved in visual and auditory reflexes.

Medulla Oblongata

The medulla oblongata is a part of the brainstem that plays a crucial role in autonomic functions, including respiration, heart rate, and blood pressure regulation.