Table 10-2 Maximize Z = 34 X₁ + 43 X₂ + 29

question 33

Multiple Choice

Table 10-2
Maximize Z = 34 X₁ + 43 X₂ + 29 X₃
Subject to: 5 X₁ + 4 X₂ + 7 X₃ ≤ 50
1 X₁ + 2 X₂ + 2 X₃ ≤ 16
3 X₁ + 4 X₂ + 1 X₃ ≤ 9
all X_i are integer and non-negative
Final Integer Solution: Z = 208
Decision
Variable Solution
X₁ 1
X₂ 0
X₃ 6
-According to Table 10-2,which presents a solution for an integer programming problem,at the optimal solution,how much slack exists in the third constraint?

• A)0
• B)9
• C)5
• D)6
• E)-1

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Definitions:

Variable And Fixed Cost

Expenses that include both variable costs, which fluctuate with production or service levels, and fixed costs, which remain constant regardless of activity.

Mixed Cost

A cost consisting of a fixed component and a variable component, changing in total with the level of activity but remaining constant per unit.

Units-Of-Production Depreciation

A method of depreciation that allocates an asset's cost based on its usage, productivity, or units of production, rather than the passage of time.

Activity Bases

Criteria or units of measure used to allocate costs in activity-based costing, reflecting the extent to which cost drivers are used or consumed.