Use the Following Management Scientist Output to Answer the Questions

question 37

Essay

Use the following Management Scientist output to answer the questions.
LINEAR PROGRAMMING PROBLEM
MAX 31X1+35X2+32X3
S.T.
1) 3X1+5X2+2X3>90
2) 6X1+7X2+8X3<150
3) 5X1+3X2+3X3<120
OPTIMAL SOLUTION
Objective Function Value = 763.333 OBJECTIVE COEFFICIENT RANGES RIGHT HAND SIDE RANGES
a.Give the solution to the problem.
b.Which constraints are binding?
c.What would happen if the coefficient of x₁ increased by 3?
d.What would happen if the right-hand side of constraint 1 increased by 10?

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Definitions:

Phosphate Groups

Chemical groups containing phosphorus and oxygen that play a crucial role in the energy transfer within cells.

Energy

The capacity to do work.

Thymine Dimers

Molecular lesions formed by covalent bonding between two adjacent thymine bases in DNA, often as a result of ultraviolet radiation.

UV Light

Ultraviolet light, a type of electromagnetic radiation with wavelengths shorter than visible light but longer than X-rays, harmful to living tissue.