Use the table below to answer the following question(s).
Remington Textiles has a mill that produces three types of fabrics on a make-to-order basis.The mill operates on a 24/7 basis.The key decision facing the plant manager is about the type of loom needed to process each fabric during the coming 12 weeks to meet demands for the three fabrics and not exceed the capacity of the looms in the mill.Two types of looms are used: Jaquard and Northrop.Jaquard looms can be used to make all fabrics and are the only looms that can weave certain fabrics, such as plaids.Demands, variable costs for each fabric, and production rates on the looms are given in the table below.The mill has 10 Northrop looms and 2 Jaquard looms.Any fabrics that cannot be woven in the mill because of limited capacity will be purchased from an external supplier, finished at the mill, and sold at the selling price.In addition to determining which looms to use to process the fabrics, the manager also needs to determine which fabrics to buy externally.

Answer the following questions using a linear optimization model.
-According to the model, what is the total amount of Fabric 3 to be produced with Northrop?
A)0
B)35,000
C)2,405
D)32,595

Question

Use the table below to answer the following question(s).
Remington Textiles has a mill that produces three types of fabrics on a make-to-order basis.The mill operates on a 24/7 basis.The key decision facing the plant manager is about the type of loom needed to process each fabric during the coming 12 weeks to meet demands for the three fabrics and not exceed the capacity of the looms in the mill.Two types of looms are used: Jaquard and Northrop.Jaquard looms can be used to make all fabrics and are the only looms that can weave certain fabrics, such as plaids.Demands, variable costs for each fabric, and production rates on the looms are given in the table below.The mill has 10 Northrop looms and 2 Jaquard looms.Any fabrics that cannot be woven in the mill because of limited capacity will be purchased from an external supplier, finished at the mill, and sold at the selling price.In addition to determining which looms to use to process the fabrics, the manager also needs to determine which fabrics to buy externally.
  
Answer the following questions using a linear optimization model.
-According to the model, what is the total amount of Fabric 3 to be produced with Northrop?
A)0 
B)35,000 
C)2,405 
D)32,595

Quizplus · Accepted Answer

Based on the linear optimization model, the optimal solution involves producing 32,595 units of Fabric 3 using Northrop looms. This can be found by setting the decision variable for Fabric 3 with Northrop to its maximum value of 24,000, and then determining the values for the other decision variables that maximize profit while meeting demand and capacity constraints. The optimal solution also involves purchasing 4,405 units of Fabric 1 and 13,000 units of Fabric 2 from external suppliers, as there is not enough capacity on the looms to produce these fabrics in-house. The total profit for this solution is $845,970.

Use the Table Below to Answer the Following Question(s)