Math Problem Statement

PQ2-15Q + 36 dan P = Q2 + 5Q + 6

  1. Hitunglah Surplus yang diperoleh Konsumen

  2. Hitunglah Elastisitas Fungsi Kueri Pada tingkat Barang Q = 8

Solution

Mari kita pecahkan masalah ini secara sistematis.

1. Hitung Surplus Konsumen:

Diberikan:
P=Q215Q+36P = Q^2 - 15Q + 36 (

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Math Problem Analysis

Mathematical Concepts

Consumer Surplus
Elasticity of Demand
Quadratic Equations

Formulas

Consumer Surplus = ∫(Demand Function) - (Price Function) with respect to Q
Elasticity of Demand = (dP/dQ) * (Q/P)
Quadratic equation formula ax^2 + bx + c = 0

Theorems

Fundamental Theorem of Calculus for integration
Elasticity formula

Suitable Grade Level

Grades 10-12