Question

The Linear Programming problem can be written as: Max Π = (P1- AVC1)*Q1 + (P2-AVC2)*Q2            ...

The Linear Programming problem can be written as:

Max Π = (P1- AVC1)*Q1 + (P2-AVC2)*Q2

            = $1,800*Q1 + $2,400*Q2

Subject to:

Pilots:                                      2*Q1 + 3*Q2 ≤ 200

Attendants:                              3*Q1 + 3*Q2 ≤ 180

Fuel:                                        2*Q1 + 3*Q2 ≤ 140

What are the profit-maximizing amounts of Q1 and Q2?

How many total pilots, total attendants, and how much total fuel will be required?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The problem is sovled using graphs.

Write the inequalities as equation and determine the intercepts .Draw the lines and shade the region towards origin

The intercepts are

Xintercpt Yintercept
Constraint -1 (100,0) (200/3,0)
Constraint -2 (60,0) (0,60)
Constraint 3 (70,0) (0,140/3)

Opitmal region is bounded by orange line.

The extreme points are considered for optimal solution

Q1 = 40

Q2 = 20

Pi = 120,000

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