In general, an increase in price increases the break even point if all costs are held constant.
In linear programming problems, multiple optimal solutions occur when constraints are parallel to each other.
A change in the value of an objective function coefficient will always change the value of the optimal solution.
Fractional relationships between variables are not permitted in the standard form of a linear program.
In a total integer model, all decision variables have integer solution values.
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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?
| | 90B + 100M ≥ 18000 |
| | 90B + 100M ≤ 18000 |
| | 100B + 90M ≤ 18000 |
| | 500B + 300M ≤ 18000
A slack variable
| | 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
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:
| | 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
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?
| | $1000 |
| | $900 |
| | $800 |
| | $700
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:
| | .5A + .75B = 20 |
| | .3B = 20 |
| | .3 B≤ 20 |
| | .3B ≥ 20
Compared to blending and product mix problems, transportation problems are unique because
| | They maximize profit. |
| | The constraints are all “q”alit“ ”onstraints with no "≤" or "≥" constraints. |
| | The solution values are always i“t”gers“ ” |
| | All...