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 c1, c2, c3, c4, c5, and c6.
b.Find the range of feasibility for b1, b2, and b3.
Definitions:
Capitalism
An economic system based on the private ownership of the means of production and their operation for profit.
Social Reproduction
Refers to the processes through which systems of social inequality, such as class structures, are reproduced and perpetuated across generations.
Material Labour
Efforts expended on the physical or tangible components of work, often contrasted with intellectual or cognitive labor.
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An intellectual movement that emerged in the mid-20th century, critiquing structures in culture, literature, and society, focusing on underlying complexities and contradictions.
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