Use the Following Management Scientist Output to Answer the Questions

question 12

Essay

Use the following Management Scientist output to answer the questions.
MIN 4X1+5X2+6X3
S.T.
1)X1+X2+X3<85
2)3X1+4X2+2X3>280
3)2X1+4X2+4X3>320
Objective Function Value = 400.000
OBJECTIVE COEFFICIENT RANGES
RIGHT HAND SIDE RANGES

a.What is the optimal solution,and what is the value of the profit contribution?
b.Which constraints are binding?
c.What are the dual prices for each resource? Interpret.
d.Compute and interpret the ranges of optimality.
e.Compute and interpret the ranges of feasibility.

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Definitions:

Uncle Tom's Cabin

An anti-slavery novel by Harriet Beecher Stowe published in 1852 that played a significant role in shaping public opinion against slavery in the United States.

Slaveowners

Individuals or entities that owned slaves as property for labor or services under laws or practices that permitted slavery.

Slaves

Individuals forced into labor or service without pay and deprived of their freedom, often considered the property of the enslavers.