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
-
Suitable Grade Level
Advanced High School
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