Math Problem Statement

Problem: Maksimizimi i Investimit

Variablat:

x1x1​: Investimi në A1

x2x2​: Investimi në A2

Funksioni i qëllimit:

Maksimizoni Z=0.2x1+0.1x2Z=0.2x1​+0.1x2​

Kufijtë:

x1+x2≤250x1​+x2​≤250

x1≤80x1​≤80

x2≥40x2​≥40

x1≥0x1​≥0

x2≥0x2​≥0

Pikat e Interesit:

x1=0,x2=250x1​=0,x2​=250 → Z=25Z=25

x1=80,x2=170x1​=80,x2​=170 → Z=33Z=33

x1=80,x2=40x1​=80,x2​=40 → Z=20Z=20

x1=0,x2=40x1​=0,x2​=40 → Z=4Z=4

**Rezultati Optimal:**Investoni $80 në A1 dhe $170 në A2 për një fitim maksimal prej $33.

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Programming

Formulas

Objective Function Z = 0.2x1 + 0.1x2

Theorems

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Suitable Grade Level

Advanced High School