Use the Following Management Scientist Output to Answer the Questions

question 25

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:

Demand Loan

A loan wherein the lender is entitled to demand full repayment at any time without notice.

Compounded Quarterly

Interest calculated on an investment or debt four times a year.

Population Decrease

A decline in the number of people living in a specific area, often due to factors like emigration, lower birth rates, or increased mortality rates.

Quarterly Compounded

A method where interest is calculated and added to the principal balance four times a year.