Consider a Mathematical Program Where X_i Represents the Amount Produced

question 103

Multiple Choice

Consider a mathematical program where X_i represents the amount produced of item i (i = 1,2,3,4) , and you want the total amount produced over all four items to equal either 100, 120, 140, or 200. If you define q_i as binary (0-1) variables (i = 1,2,3,4) and add the constraint q₁ + q₂ + q₃ + q₄ = 1, what other constraint do you need to add to the program?

• A) 100q₁ + 120q₂ + 140q₃ + 200q₄ =560
• B) X₁ + X₂ + X₃ + X₄ =560
• C) X₁ + X₂ + X₃ + X₄ = 100q₁ + 120q₂ + 140q₃ + 200q₄
• D) 100X₁ + 120X₂ + 140X₃ + 200X₄ = q₁ + q₂ + q₃ + q₄
• E) X₁ + X₂ + X₃ + X₄ ≤ 200

Understand the significance and methodology of newborn health assessments.

Recognize cultural and personal variations in childbirth practices.

Identify and understand different logical fallacies.

Distinguish between fallacies of relevance, ambiguity, and presumption.

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Definitions:

Price Ceiling

A government-imposed limit on how high a price can be charged on a product or service, intended to protect consumers from prices that are deemed too high.

Shortage/Surplus

A shortage occurs when the demand for a good exceeds its supply at a particular price, while a surplus occurs when the supply of a good exceeds demand at a particular price.

Demand Equation

A mathematical expression that calculates the quantity of a good or service demanded at various prices.

Supply Equation

A mathematical representation that describes the relationship between the price of a good and the quantity of the good that suppliers are willing to sell.