Math Problem Statement
New Conversation Sign In ormulimi i Problemit: Variablat: 𝑥 1 x 1 = sasia e investuar në A1 𝑥 2 x 2 = sasia e investuar në A2 Funksioni i qëllimit: Maksimizoni 𝑍 = 0.2 𝑥 1 + 0.1 𝑥 2 Z=0.2x 1 +0.1x 2 Kufijtë: 𝑥 1 + 𝑥 2 ≤ 250 x 1 +x 2 ≤250 𝑥 1 ≤ 80 x 1 ≤80 𝑥 2 ≥ 40 x 2 ≥40 𝑥 1 ≥ 0 x 1 ≥0 𝑥 2 ≥ 0 x 2 ≥0 Zgjidhja e Problemit: Pikat e interesit janë: 𝑥 1 = 0 x 1 =0, 𝑥 2 = 250 x 2 =250: Fitimi 𝑍 = 0.2 ⋅ 0 + 0.1 ⋅ 250 = 25 Z=0.2⋅0+0.1⋅250=25 𝑥 1 = 80 x 1 =80, 𝑥 2 = 170 x 2 =170: Fitimi 𝑍 = 0.2 ⋅ 80 + 0.1 ⋅ 170 = 33 Z=0.2⋅80+0.1⋅170=33 𝑥 1 = 80 x 1 =80, 𝑥 2 = 40 x 2 =40: Fitimi 𝑍 = 0.2 ⋅ 80 + 0.1 ⋅ 40 = 20 Z=0.2⋅80+0.1⋅40=20 𝑥 1 = 0 x 1 =0, 𝑥 2 = 40 x 2 =40: Fitimi 𝑍 = 0.2 ⋅ 0 + 0.1 ⋅ 40 = 4 Z=0.2⋅0+0.1⋅40=4 Rezultati Optimal: Investoni $80 në A1 dhe $170 në A2 për një fitim maksimal prej $33. rishkruaje ne menre kompakte per tu bere share ne Whatsapp
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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