Sara's Sensible Critters Makes Two Kinds of Catnip Toys: Balls

question 50

Multiple Choice

Sara's Sensible Critters makes two kinds of catnip toys: balls (x₁) and mice (x₂) . The relationship between demand and price for balls and mice is:
x₁ = 1800 - 150p₁
x₂ = 1500 - 300p₂
The cost for a catnip ball is $2 and for the mouse, $3.
Sara has only 200 ounces of catnip on hand. A ball uses a tenth of an ounce and a toy mouse uses one-quarter of an ounce.
-Write the appropriate expression for profit.

• A) Max Z = (p₁ - 3)x₁ + (p₁ - 2)_x2
• B) Max Z = (p1 + ₁)x₁ + (p₁ + 3)_x2
• C) Max Z = (p1 - ₁)x₁ + (p₁ - 3)_x2
• D) Min Z = (p1 -₁)x₁ + (p₁ - 3)_x2

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Definitions:

Substance

material with particular physical characteristics, an important concept in chemistry and physics.

Nuclear Medicine

A medical specialty involving the application of radioactive substances in the diagnosis and treatment of diseases.

Radiopaque Substance

A substance that does not allow X-rays to pass through and appears white or light on an X-ray film, used in medical imaging to highlight structures.

Radioactive Isotope

An isotope that exhibits radioactive decay, emitting radiation in the process.