Given the Following Linear Programming Problem

question 32

Essay

Given the following linear programming problem
Max Z
0.5x₁ + 6x₂ + 5x₃
s.t.
4x₁ + 6x₂ + 3x₃ ≤ 24
1x₁ + 1.5x₂ + 3x₃ ≤ 12
3x₁ + x₂ ≤ 12
​
and the final tableau is ​
a.Find the range of optimality for c_1, c_2, c_3, c_4, c_5, and c₆.
b.Find the range of feasibility for b₁, b₂, and b₃.

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Definitions:

Conversion

The process of changing raw materials into finished products or turning prospects into customers, depending on the context.

Weighted-Average Method

A method of inventory valuation which calculates the cost of goods sold and ending inventory based on the average cost of all units available for sale during the period.

Equivalent Units

A concept in cost accounting used to express the amount of work done on partially finished goods in terms of fully finished units.

Conversion

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