Subjects economics

Keseimbangan Pasar E7F4F7

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Keseimbangan Pasar E7F4F7


1. **Stating the problem:** We are given a table of Harga (price in thousands of Rupiah), Jumlah Permintaan (Qd), and Jumlah Penawaran (Qs) for coffee sales. We need to find the market equilibrium where demand equals supply and illustrate it with a graph. 2. **Understanding equilibrium:** Market equilibrium occurs where quantity demanded equals quantity supplied, i.e., $Q_d = Q_s$. 3. **From the table:** - At Harga = 10, $Q_d = 500$ and $Q_s = 500$. - This is the equilibrium point. 4. **Formulas for demand and supply lines:** We can find linear equations for demand and supply using two points each. **Demand line (Qd):** Using points $(4,800)$ and $(14,300)$: Slope $m_d = \frac{300 - 800}{14 - 4} = \frac{-500}{10} = -50$ Intercept $b_d$ from $Q_d = m_d \times Harga + b_d$: $800 = -50 \times 4 + b_d \Rightarrow b_d = 800 + 200 = 1000$ So, demand equation: $$Q_d = -50 \times Harga + 1000$$ **Supply line (Qs):** Using points $(4,320)$ and $(14,620)$: Slope $m_s = \frac{620 - 320}{14 - 4} = \frac{300}{10} = 30$ Intercept $b_s$: $320 = 30 \times 4 + b_s \Rightarrow b_s = 320 - 120 = 200$ So, supply equation: $$Q_s = 30 \times Harga + 200$$ 5. **Verify equilibrium mathematically:** Set $Q_d = Q_s$: $$-50 \times Harga + 1000 = 30 \times Harga + 200$$ $$1000 - 200 = 30 \times Harga + 50 \times Harga$$ $$800 = 80 \times Harga$$ $$Harga = \frac{800}{80} = 10$$ At $Harga = 10$: $$Q_d = -50 \times 10 + 1000 = 500$$ $$Q_s = 30 \times 10 + 200 = 500$$ 6. **Conclusion:** The market equilibrium price is 10 (thousand Rupiah) with quantity 500 units.