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:

Marginal Cost

The price to produce an additional unit of a product or service.

Total Costs

The total expense of manufacturing that encompasses all constant and fluctuating costs.

Average Variable Cost

The cost of labor and materials divided by the quantity of output, representing the variable cost per unit of production.

Total Variable Cost

The sum of all costs that vary with output level, including costs such as labor and raw materials.