ABC,Inc,Is a Small Clothing Manufacturer That Produces Shirts and Pants

question 24

Multiple Choice

ABC,Inc.,is a small clothing manufacturer that produces shirts and pants using two resources: sewing machine hours and cutting machine hours.The production manager can schedule up to 240 hours of sewing machine time and up to 150 hour cutting machine time.Production of one shirt requires 3 hours of sewing time and 1 hour of cutting time.Each pair of pants requires 2 hours of sewing time and 1.5 hours of cutting time.Each shirt yields a profit of $5,and each pair of pants generates a $6 profit.The objective is to maximize profits.Determine cutting time constraint for the LP formulation.Let X₁ = Number of shirts to be produced,X₂ = Number of pairs of pants to be produced.

• A)3X₁ + 2X₂ ≤ 240
• B)X₁ + 1.5X₂ ≤ 150
• C)3X₁ + 2X₂ ≤ 150
• D)X₁ + 1.5X₂ ≤ 240

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Definitions:

Varied Group

A collection of individuals or items that differ from each other in specific ways, often used in the context of focus groups or market segments.

Mission Statement

A formal summary of the aims and values of a company, organization, or individual, guiding its strategies and decision-making.

Idealistic

Characterized by the pursuit of high or noble principles, often unrealistically aiming for perfection.

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An approach or decision-making process that relies on verifiable data and evidence.