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

question 94

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 sewing 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:

Random Sampling

Sampling in which every member of a population has an equal chance to be selected and in which selection is determined by “luck of the draw” rather than a decision by the researcher.

Degrees

Units of measurement for angles in a circle or for temperature; in the context of education, it refers to academic qualifications.

Freedom

The power or right to act, speak, or think as one wants without hindrance or restraint.

Standard Deviation

A statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.