Quantitative Methods Test 1 (Ch. 1-4) questions
and answers 2026\2027 A+ Grade
A hot dog manufacturer wishes to minimize the cost in dollars of producing a low-cost niched product
while meeting the dietary guidelines for protein and sodium. Once the model has been run, the surplus
variable in the sodium constraint has a value of 1300 milligrams. The best interpretation of this outcome
is:
- correct answer The minimum cost hot dog has 1,300 milligrams more sodium than required by the
constraint.
A shadow price reflects which of the following in a maximization problem?
- correct answer The marginal gain in the objective that would be realized by adding one unit of a
resource
A slack variable:
- correct answer Is the amount by which the left side of a <= constraint is smaller than the right side
A university is planning an online seminar. It costs $30 to live stream an instructor from Elbonia. Assume
it costs $25 per student for the administrators to provide the course materials. If we know that 20
people will attend, what price should be charged per person to break even?
- correct answer $26.50
Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For
the spring, she is planning to make baskets, eggs, and rabbits.
Which additional resources would you recommend that Aunt Anastasia try to obtain?
- correct answer Kiln
Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For
the spring, she is planning to make baskets, eggs, and rabbits.
, Aunt Anastasia's profit for Eggs has increased to $1.60. How will this affect her solution?
- correct answer They will continue to make 25 Baskets, 0 Eggs, and 25 Rabbits
Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For
the spring, she is planning to make baskets, eggs, and rabbits.
Aunt Anastasia is planning for next spring, and she is considering making only two products. Based on
the results from the linear program, which two products would you recommend that she make?
- correct answer Baskets and rabbits
Consider the following maximization problem.
Max Z = x + 2y
s.t.
2x + 3y <= 6
5x + 6y <= 30
y >= 1
The optimal solution:
- correct answer Occurs where x = 0 and y = 2
Cully Furniture buys two products for resale: big shelves (B)and medium shelves (M). Each big shelf costs
$500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90
cubic feet of storage space. The company has $75,000 to invest in shelves this week, and the warehouse
has 18,000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is
$150.
Which of the following is not a feasible purchase combination?
- correct answer 100 big shelves and 100 medium shelves
Decision variables:
- correct answer Measure how much or how many items to produce, purchase, hire, etc.
and answers 2026\2027 A+ Grade
A hot dog manufacturer wishes to minimize the cost in dollars of producing a low-cost niched product
while meeting the dietary guidelines for protein and sodium. Once the model has been run, the surplus
variable in the sodium constraint has a value of 1300 milligrams. The best interpretation of this outcome
is:
- correct answer The minimum cost hot dog has 1,300 milligrams more sodium than required by the
constraint.
A shadow price reflects which of the following in a maximization problem?
- correct answer The marginal gain in the objective that would be realized by adding one unit of a
resource
A slack variable:
- correct answer Is the amount by which the left side of a <= constraint is smaller than the right side
A university is planning an online seminar. It costs $30 to live stream an instructor from Elbonia. Assume
it costs $25 per student for the administrators to provide the course materials. If we know that 20
people will attend, what price should be charged per person to break even?
- correct answer $26.50
Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For
the spring, she is planning to make baskets, eggs, and rabbits.
Which additional resources would you recommend that Aunt Anastasia try to obtain?
- correct answer Kiln
Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For
the spring, she is planning to make baskets, eggs, and rabbits.
, Aunt Anastasia's profit for Eggs has increased to $1.60. How will this affect her solution?
- correct answer They will continue to make 25 Baskets, 0 Eggs, and 25 Rabbits
Aunt Anastasia operates a small business: she produces seasonal ceramic objects to sell to tourists. For
the spring, she is planning to make baskets, eggs, and rabbits.
Aunt Anastasia is planning for next spring, and she is considering making only two products. Based on
the results from the linear program, which two products would you recommend that she make?
- correct answer Baskets and rabbits
Consider the following maximization problem.
Max Z = x + 2y
s.t.
2x + 3y <= 6
5x + 6y <= 30
y >= 1
The optimal solution:
- correct answer Occurs where x = 0 and y = 2
Cully Furniture buys two products for resale: big shelves (B)and medium shelves (M). Each big shelf costs
$500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90
cubic feet of storage space. The company has $75,000 to invest in shelves this week, and the warehouse
has 18,000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is
$150.
Which of the following is not a feasible purchase combination?
- correct answer 100 big shelves and 100 medium shelves
Decision variables:
- correct answer Measure how much or how many items to produce, purchase, hire, etc.
