Use the Following Management Scientist Output to Answer the Questions

question 13

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:

Immune System

The complex network of cells, tissues, and organs that work together to defend the body against infections, diseases, and foreign substances.

Immunotherapy

A type of cancer treatment that helps your immune system fight cancer.

Photodynamic Therapy

A treatment that uses special drugs, known as photosensitizing agents, alongside light to kill cancer cells.

Chemical

A substance with a distinct molecular composition that is produced by or used in a chemical process.