QNT 2020 FINAL QUESTIONS WITH VERIFIED
ANSWERS
The ______ function line is made up of those points which all have the same value of
the objective function. - Answers - objective
When a constraint is graphed, the resulting line is called a constraint _____ line. -
Answers - boundary
In the product-mix problem, data concerning pricing and product costs is used to
estimate - Answers - profit per unit
True or False : The best feasible solution is called the optimal solution. - Answers - True
True or False : A feasible solution is one that satisfies all the constraints of a linear
programming problem simultaneously. - Answers - True
True or False : Linear programming problems may have multiple goals or objectives
specified. - Answers - False
True or False : Constraints limit the alternatives available to a decision maker. -
Answers - True
True or False : All constraints in a linear programming problem are either ≤ or ≥
inequalities. - Answers - False
True or False : An example of a decision variable in a linear programming problem is
profit maximization. - Answers - False
True or False : The equation 5x + 7y = 10 is linear. - Answers - True
The production planner for Fine Coffees, Inc. produces two coffee blends: American (A)
and British (B). He can only get 300 pounds of Colombian beans per week and 200
pounds of Dominican beans per week. Each pound of American blend coffee requires
12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of
British blend coffee uses 8 ounces of each type of bean. Profits for the American blend
are $2.00 per pound, and profits for the British blend are $1.00 per pound. The goal of
Fine Coffees, Inc. is to maximize profits.What is the constraint for Dominican beans? -
Answers - 4A + 8B ≤ 3,200.
Explanation: Since each pound of A uses 12 ounces of Dominican beans and each
pound of B uses 8 ounces of Dominican beans, it is convenient to convert the supply of
Dominican beans to ounces (200 pounds = 3,200 ounces). Then the constraint should
,reflect that the usages (4 ounces per pound of A, 8 ounces per pound of B) must be
less than the supply.
The production planner for Fine Coffees, Inc. produces two coffee blends: American (A)
and British (B). He can only get 300 pounds of Colombian beans per week and 200
pounds of Dominican beans per week. Each pound of American blend coffee requires
12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of
British blend coffee uses 8 ounces of each type of bean. Profits for the American blend
are $2.00 per pound, and profits for the British blend are $1.00 per pound. The goal of
Fine Coffees, Inc. is to maximize profits.
What is the constraint for Colombian beans? - Answers - 12A + 8B ≤ 4,800.
Explanation: Since each pound of A uses 12 ounces of Colombian beans and each
pound of B uses 8 ounces of Colombian beans, it is convenient to convert the supply of
Columbian beans to ounces (300 pounds = 4,800 ounces). Then the constraint should
reflect that the usages (12 ounces per pound of A, 8 ounces per pound of B) must be
less than the supply.
The production planner for Fine Coffees, Inc. produces two coffee blends: American (A)
and British (B). He can only get 300 pounds of Colombian beans per week and 200
pounds of Dominican beans per week. Each pound of American blend coffee requires
12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of
British blend coffee uses 8 ounces of each type of bean. Profits for the American blend
are $2.00 per pound, and profits for the British blend are $1.00 per pound. The goal of
Fine Coffees, Inc. is to maximize profits.
What is the objective function? - Answers - P = 2A + B.
True or False : A linear programming problem may return fractional solutions (e.g. 4 1/3)
for a resource allocation problem. - Answers - True
True or False : Linear programming does not permit fractional solutions. - Answers -
False
True or False : For cost-benefit-tradeoff problems, minimum acceptable levels for each
kind of benefit are prescribed and the objective is to achieve all these benefits with
minimum cost. - Answers - True
A freelance writer must choose how to spend her time working on several different
types of projects.
Newspaper stories take 3 hours to write and pay a flat rate of $45 per story. Magazine
articles take much longer to write (25 hours) but pay significantly better ($400 per
article). Proofreading is often tedious, but the writer can always find proofreading jobs
that pay $20 per hour. The writer wants to maximize her income, but doesn't want to
work more than 45 hours per week. Additionally, she dislikes proofreading so she would
, like to spend no more than 7 hours per week on that task. Both newspaper stories and
magazine articles must be completed in the week they are started (HINT: use an integer
constraint to be sure that all newspaper and magazine jobs are finished within a week).
The writer's problem falls within which classification? - Answers - Resource-allocation.
A freelance writer must choose how to spend her time working on several different
types of projects.
Newspaper stories take 3 hours to write and pay a flat rate of $45 per story. Magazine
articles take much longer to write (25 hours) but pay significantly better ($400 per
article). Proofreading is often tedious, but the writer can always find proofreading jobs
that pay $20 per hour. The writer wants to maximize her income, but doesn't want to
work more than 45 hours per week. Additionally, she dislikes proofreading so she would
like to spend no more than 7 hours per week on that task. Both newspaper stories and
magazine articles must be completed in the week they are started (HINT: use an integer
constraint to be sure that all newspaper and magazine jobs are finished within a week).
Which of the following is the objective function for the writer's problem? - Answers - Max
R = 45N + 400M + 20P
True or False : A local maximum is always a global maximum in a nonlinear
programming problem. - Answers - False
True or False : A quadratic programming problem is a special type of linear
programming problem. - Answers - False
True or False : Linear programming assumes that the profit from each activity is
proportional to the level of that activity. - Answers - True
True or False : A nonlinear function may contain a product of two variables. - Answers -
True
True or False : Profit = 3*x_1 + 2*x_2 + 9*x_1*x_2 is an example of a nonlinear
function. - Answers - True
True or False : When applying nonlinear programming to portfolio selection, a trade-off
is being made between the expected return and the risk associated with the investment.
- Answers - True
When using the graphical method, the region that satisfies all of the constraints of a
linear programming problem is called the: - Answers - feasible region.
True or False : Resource-allocation problems are linear programming problems
involving the allocation of limited resources to activities. - Answers - True
ANSWERS
The ______ function line is made up of those points which all have the same value of
the objective function. - Answers - objective
When a constraint is graphed, the resulting line is called a constraint _____ line. -
Answers - boundary
In the product-mix problem, data concerning pricing and product costs is used to
estimate - Answers - profit per unit
True or False : The best feasible solution is called the optimal solution. - Answers - True
True or False : A feasible solution is one that satisfies all the constraints of a linear
programming problem simultaneously. - Answers - True
True or False : Linear programming problems may have multiple goals or objectives
specified. - Answers - False
True or False : Constraints limit the alternatives available to a decision maker. -
Answers - True
True or False : All constraints in a linear programming problem are either ≤ or ≥
inequalities. - Answers - False
True or False : An example of a decision variable in a linear programming problem is
profit maximization. - Answers - False
True or False : The equation 5x + 7y = 10 is linear. - Answers - True
The production planner for Fine Coffees, Inc. produces two coffee blends: American (A)
and British (B). He can only get 300 pounds of Colombian beans per week and 200
pounds of Dominican beans per week. Each pound of American blend coffee requires
12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of
British blend coffee uses 8 ounces of each type of bean. Profits for the American blend
are $2.00 per pound, and profits for the British blend are $1.00 per pound. The goal of
Fine Coffees, Inc. is to maximize profits.What is the constraint for Dominican beans? -
Answers - 4A + 8B ≤ 3,200.
Explanation: Since each pound of A uses 12 ounces of Dominican beans and each
pound of B uses 8 ounces of Dominican beans, it is convenient to convert the supply of
Dominican beans to ounces (200 pounds = 3,200 ounces). Then the constraint should
,reflect that the usages (4 ounces per pound of A, 8 ounces per pound of B) must be
less than the supply.
The production planner for Fine Coffees, Inc. produces two coffee blends: American (A)
and British (B). He can only get 300 pounds of Colombian beans per week and 200
pounds of Dominican beans per week. Each pound of American blend coffee requires
12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of
British blend coffee uses 8 ounces of each type of bean. Profits for the American blend
are $2.00 per pound, and profits for the British blend are $1.00 per pound. The goal of
Fine Coffees, Inc. is to maximize profits.
What is the constraint for Colombian beans? - Answers - 12A + 8B ≤ 4,800.
Explanation: Since each pound of A uses 12 ounces of Colombian beans and each
pound of B uses 8 ounces of Colombian beans, it is convenient to convert the supply of
Columbian beans to ounces (300 pounds = 4,800 ounces). Then the constraint should
reflect that the usages (12 ounces per pound of A, 8 ounces per pound of B) must be
less than the supply.
The production planner for Fine Coffees, Inc. produces two coffee blends: American (A)
and British (B). He can only get 300 pounds of Colombian beans per week and 200
pounds of Dominican beans per week. Each pound of American blend coffee requires
12 ounces of Colombian beans and 4 ounces of Dominican beans, while a pound of
British blend coffee uses 8 ounces of each type of bean. Profits for the American blend
are $2.00 per pound, and profits for the British blend are $1.00 per pound. The goal of
Fine Coffees, Inc. is to maximize profits.
What is the objective function? - Answers - P = 2A + B.
True or False : A linear programming problem may return fractional solutions (e.g. 4 1/3)
for a resource allocation problem. - Answers - True
True or False : Linear programming does not permit fractional solutions. - Answers -
False
True or False : For cost-benefit-tradeoff problems, minimum acceptable levels for each
kind of benefit are prescribed and the objective is to achieve all these benefits with
minimum cost. - Answers - True
A freelance writer must choose how to spend her time working on several different
types of projects.
Newspaper stories take 3 hours to write and pay a flat rate of $45 per story. Magazine
articles take much longer to write (25 hours) but pay significantly better ($400 per
article). Proofreading is often tedious, but the writer can always find proofreading jobs
that pay $20 per hour. The writer wants to maximize her income, but doesn't want to
work more than 45 hours per week. Additionally, she dislikes proofreading so she would
, like to spend no more than 7 hours per week on that task. Both newspaper stories and
magazine articles must be completed in the week they are started (HINT: use an integer
constraint to be sure that all newspaper and magazine jobs are finished within a week).
The writer's problem falls within which classification? - Answers - Resource-allocation.
A freelance writer must choose how to spend her time working on several different
types of projects.
Newspaper stories take 3 hours to write and pay a flat rate of $45 per story. Magazine
articles take much longer to write (25 hours) but pay significantly better ($400 per
article). Proofreading is often tedious, but the writer can always find proofreading jobs
that pay $20 per hour. The writer wants to maximize her income, but doesn't want to
work more than 45 hours per week. Additionally, she dislikes proofreading so she would
like to spend no more than 7 hours per week on that task. Both newspaper stories and
magazine articles must be completed in the week they are started (HINT: use an integer
constraint to be sure that all newspaper and magazine jobs are finished within a week).
Which of the following is the objective function for the writer's problem? - Answers - Max
R = 45N + 400M + 20P
True or False : A local maximum is always a global maximum in a nonlinear
programming problem. - Answers - False
True or False : A quadratic programming problem is a special type of linear
programming problem. - Answers - False
True or False : Linear programming assumes that the profit from each activity is
proportional to the level of that activity. - Answers - True
True or False : A nonlinear function may contain a product of two variables. - Answers -
True
True or False : Profit = 3*x_1 + 2*x_2 + 9*x_1*x_2 is an example of a nonlinear
function. - Answers - True
True or False : When applying nonlinear programming to portfolio selection, a trade-off
is being made between the expected return and the risk associated with the investment.
- Answers - True
When using the graphical method, the region that satisfies all of the constraints of a
linear programming problem is called the: - Answers - feasible region.
True or False : Resource-allocation problems are linear programming problems
involving the allocation of limited resources to activities. - Answers - True
