Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Identify the inequality that represents the graph: 
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2.
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Identify the inequality that represents the graph: 
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3.
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Graph the solutions of the linear inequality: 
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4.
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Graph the system of linear inequalities: 
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5.
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A cabinet maker is required to make at least 4
large cabinets each week. He is not required to make
any small cabinets.
It takes 5 hours to
build a large cabinet and 4 hours to build a small
cabinet. The cabinet maker has no more than 40 hours to build cabinets
each week.
Let x represent the number of large
cabinet and y represent the number of small cabinets.
Write a system of
constraints to represent this situation.
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6.
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A cabinet maker is required to
make at least 4 large cabinets each week. He is
not required to make any small cabinets.
It
takes 5 hours to build a large cabinet and
4 hours to build a small cabinet. The cabinet maker
has no more than 40 hours to build cabinets each week.
Let x represent the number of large cabinet and y represent the number of small
cabinets. |  | | |
If there is a $50
profit on the large cabinets and a $30 profit on the small cabinets. What number of large and small
cabinets maximizes the objective function?  a. | 4 large and 0 small | c. | 4 large and 5 small | b. | 8 large and 0 small | d. | 0 large and 10
small |
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7.
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A
company produces mopeds and motorcycles. It must produce at least 10
mopeds per month. The company has the equipment to produce at most 60 mopeds. It can also produce at most 120 motorcycles. The productions of mopeds and motorcycles
cannot exceed 160.
The profit on a moped is
$134 and on a motorcycles is $200. Use the graph
of the feasible region to determine the maximum profit the company can generate.
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a. | $25,340 | c. | $12,000 | b. | $29,360 | d. | $32,040 |
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8.
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A company is building Laptops. The
deluxe model takes 3 hours to produce and a basic model that takes 1 hour to produce. They have
enough supplies to make 1000 laptops and 1600 hours of labor.
Let x represent the number of deluxe models and
y represent the
number of basic laptops. |
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Write a system of constraints to represent this
situation.
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