Question 1
In general, an increase in price increases the break even point if all costs are held constant.
AnswerTrue
False
5 points
Question 2
In linear programming problems, multiple optimal solutions occur when constraints are parallel to each other.
AnswerTrue
False
5 points
Question 3
A change in the value of an objective function coefficient will always change the value of the optimal solution.
AnswerTrue
False
5 points
Question 4
Fractional relationships between variables are not permitted in the standard form of a linear program.
AnswerTrue
False
5 points
Question 5
In a total integer model, all decision variables have integer solution values.
...view middle of the document...
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 $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $150. What is the storage space constraint?
Answer
  90B + 100M ≥ 18000 
  90B + 100M ≤ 18000 
  100B + 90M ≤ 18000 
  500B + 300M ≤ 18000

5 points
Question 14
A slack variable
Answer
  is the amount by which the left side of a ≥ constraint is larger than the right side 
  is the amount by which the left side of a ≤ constraint is smaller than the right side 
  is the absolute value of the difference between the left and right side of a constraint 
  all of the above

5 points
Question 15
For a maximization problem, assume that a constraint is binding. If the original amount of a resource is 4 lbs., and the range of feasibility (sensitivity range) for this constraint is from 3 lbs. to 6 lbs., increasing the amount of this resource by 1 lb. will result in the:
Answer
  same product mix, different total profit 
  different product mix, same total profit as before 
  same product mix, same total profit 
  different product mix, different total profit

5 points
Question 16
The production manager for Beer etc. produces 2 kinds of beer: light (L) and dark (D). Two resources used to produce beer are malt and wheat. He can obtain at most 4800 oz of malt per week and at most 3200 oz of wheat per week respectively. Each bottle of light beer requires 12 oz of malt and 4 oz of wheat, while a bottle of dark beer uses 8 oz of malt and 8 oz of wheat. Profits for light beer are $2 per bottle, and profits for dark beer are $1 per bottle. What is the optimal weekly profit?
Answer
  $1000 
  $900 
  $800 
  $700

5 points
Question 17
The owner of Black Angus Ranch is trying to determine the correct mix of two types of beef feed, A and B which cost 50 cents and 75 cents per pound, respectively. Five essential ingredients are contained in the feed, shown in the table below. The table also shows the minimum daily requirements of each ingredient.
Ingredient  Percent per pound in Feed A  Percent per pound in Feed B  Minimum daily requirement (pounds) 
1  20  24  30 
2  30  10  50 
3  0  30  20 
4  24  15  60 
5  10  20  40 
The constraint for ingredient 3 is:
Answer
  .5A + .75B = 20 
  .3B = 20 
  .3 B≤ 20 
  .3B ≥ 20

5 points
Question 18
Compared to blending and product mix problems, transportation problems are unique because
Answer
  They maximize profit. 
  The constraints are all “q”alit“ ”onstraints with no "≤" or "≥" constraints. 
  The solution values are always i“t”gers“ ” 
  All...