Anderson Co. produces two popular grades of carpeting among its many other products. In the coming production period, Anderson needs to decide how many rolls of each type of carpet should be produced in order to maximize profit. Each roll of Type A carpet uses 40 units of synthetic fiber, requires 32 hours of production time, and needs 18 units of foam backing. Each roll of Type B carpet uses 35 units of synthetic fíber, requires 20 hours of production time, and needs 25 units of foam backing. The profit per type of Type A carpet is $300 and the profit per roll of type B carpet is $210. In the coming production period, Anderson has 4000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 2200 hours of production time (overtime is a possibility). The company has 1800 units of foam backing available for use. Formulate the linear programming model for this problem. Let x= the number of rolls of Type A carpet to make Let y = the number of rolls of Type B carpet to make Note: In the last field of the constraints, you should include the sign and the RHS value without space between them (for example <=1000). Objective Function x+ y st. y y

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QUESTION 6
Anderson Co. produces two popular grades of carpeting among its many other products. In the coming production period, Anderson needs to decide how many rolls of
each type of carpet should be produced in order to maximize profit. Each roll of Type A carpet uses 40 units of synthetic fiber, requires 32 hours of production time, and
needs 18 units of foam backing. Each roll of Type B carpet uses 35 units of synthetic fiber, requires 20 hours of production time, and needs 25 units of foam backing.
The profit per type of Type A carpet is $300 and the profit per roll of type B carpet is $210. In the coming production period, Anderson has 4000 units of synthetic fíber
available for use. Workers have been scheduled to provide at least 2200 hours of production time (overtime is a possibility). The company has 1800 units of foam backing
available for use.
Formulate the linear programming model for this problem.
Let x= the number of rolls of Type A carpet to make
Let y = the number of rolls of Type B carpet to make
Note: In the last field of the constraints, you should include the sign and the RHS value without space between them (for example <=1000).
Objective Function
y
y
s.t.
y
y
Transcribed Image Text:QUESTION 6 Anderson Co. produces two popular grades of carpeting among its many other products. In the coming production period, Anderson needs to decide how many rolls of each type of carpet should be produced in order to maximize profit. Each roll of Type A carpet uses 40 units of synthetic fiber, requires 32 hours of production time, and needs 18 units of foam backing. Each roll of Type B carpet uses 35 units of synthetic fiber, requires 20 hours of production time, and needs 25 units of foam backing. The profit per type of Type A carpet is $300 and the profit per roll of type B carpet is $210. In the coming production period, Anderson has 4000 units of synthetic fíber available for use. Workers have been scheduled to provide at least 2200 hours of production time (overtime is a possibility). The company has 1800 units of foam backing available for use. Formulate the linear programming model for this problem. Let x= the number of rolls of Type A carpet to make Let y = the number of rolls of Type B carpet to make Note: In the last field of the constraints, you should include the sign and the RHS value without space between them (for example <=1000). Objective Function y y s.t. y y
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