WGU C723 - Unit-6 Multiple |! |! |! |! |!
Choice Questions with precise |! |! |! |!
solutions
In a linear programming graph, which of the following describes the area that
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satisfies all of the constraints?
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Possible solution |!
Feasible region |!
Objective function |!
Cost minimization region - Correct answer ✔Feasible region
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Acme Corp. makes couches and chairs using three main components: wood,
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foam, and fabric. It takes 60 linear feet to make a couch and 35 to make a
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chair. It takes 30 hours of labor to make a couch and 15 to make a chair.
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Couches sell for $800 and chairs for $350.
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The selling price would be part of which element?
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Objective
Decision Variable |!
Constraint - Correct answer ✔Objective |! |! |! |!
, Acme Corp. makes couches and chairs using three main components: wood,
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foam, and fabric. It takes 60 linear feet to make a couch and 35 to make a
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chair. It takes 30 hours of labor to make a couch and 15 to make a chair.
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Couches sell for $800 and chairs for $350. |! |! |! |! |! |! |!
State the mathematical representation to show that the total number of linear
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feet of wood for both couches (X) and chairs (Y) cannot exceed 5,000.
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a. 60X + 35Y >= 5,00060X + 35Y >= 5,000
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b. 35X + 60Y = 5,00035X + 60Y = 5,000
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c. 60X + 35Y <= 5,00060X + 35Y <= 5,000 - Correct answer ✔This adds 60
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linear feet for each couch made to 35 linear feet for each chair made to arrive
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at total linear feet that cannot be exceeded
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c. 60X + 35Y <= 5,00060X + 35Y <= 5,000
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Acme Corp. makes couches and chairs using three main components: wood,
|! |! |! |! |! |! |! |! |! |! |!
foam, and fabric. It takes 60 linear feet to make a couch and 35 to make a
|! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |!
chair. It takes 30 hours of labor to make a couch and 15 to make a chair.
|! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |!
Couches sell for $800 and chairs for $350. |! |! |! |! |! |! |!
State the mathematical representation to show that the company must make
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at least 20 chairs to fill backorders.
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Y = 20
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Choice Questions with precise |! |! |! |!
solutions
In a linear programming graph, which of the following describes the area that
|! |! |! |! |! |! |! |! |! |! |! |!
satisfies all of the constraints?
|! |! |! |! |!
Possible solution |!
Feasible region |!
Objective function |!
Cost minimization region - Correct answer ✔Feasible region
|! |! |! |! |! |! |!
Acme Corp. makes couches and chairs using three main components: wood,
|! |! |! |! |! |! |! |! |! |! |!
foam, and fabric. It takes 60 linear feet to make a couch and 35 to make a
|! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |!
chair. It takes 30 hours of labor to make a couch and 15 to make a chair.
|! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |!
Couches sell for $800 and chairs for $350.
|! |! |! |! |! |! |!
The selling price would be part of which element?
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Objective
Decision Variable |!
Constraint - Correct answer ✔Objective |! |! |! |!
, Acme Corp. makes couches and chairs using three main components: wood,
|! |! |! |! |! |! |! |! |! |! |!
foam, and fabric. It takes 60 linear feet to make a couch and 35 to make a
|! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |!
chair. It takes 30 hours of labor to make a couch and 15 to make a chair.
|! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |!
Couches sell for $800 and chairs for $350. |! |! |! |! |! |! |!
State the mathematical representation to show that the total number of linear
|! |! |! |! |! |! |! |! |! |! |!
feet of wood for both couches (X) and chairs (Y) cannot exceed 5,000.
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a. 60X + 35Y >= 5,00060X + 35Y >= 5,000
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b. 35X + 60Y = 5,00035X + 60Y = 5,000
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c. 60X + 35Y <= 5,00060X + 35Y <= 5,000 - Correct answer ✔This adds 60
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linear feet for each couch made to 35 linear feet for each chair made to arrive
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at total linear feet that cannot be exceeded
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c. 60X + 35Y <= 5,00060X + 35Y <= 5,000
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Acme Corp. makes couches and chairs using three main components: wood,
|! |! |! |! |! |! |! |! |! |! |!
foam, and fabric. It takes 60 linear feet to make a couch and 35 to make a
|! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |!
chair. It takes 30 hours of labor to make a couch and 15 to make a chair.
|! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |! |!
Couches sell for $800 and chairs for $350. |! |! |! |! |! |! |!
State the mathematical representation to show that the company must make
|! |! |! |! |! |! |! |! |! |! |!
at least 20 chairs to fill backorders.
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Y = 20
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