Subjects economics

Demand Supply E66Afa

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1. **State the problem:** We are given the market demand curve $Q_d=60-3p$ and the market supply curve $Q_s=3p$ for Selam Water. We need to graph both curves on the same axes and find the intercepts of the demand curve. 2. **Recall the formulas and rules:** - The demand curve is $Q_d=60-3p$ where $Q_d$ is quantity demanded and $p$ is price. - The supply curve is $Q_s=3p$ where $Q_s$ is quantity supplied. - To find intercepts, set $p=0$ to find the $Q$-intercept and set $Q=0$ to find the $p$-intercept. 3. **Find the demand curve intercepts:** - For the $Q$-intercept (where $p=0$): $$Q_d=60-3\times 0=60$$ So the demand curve crosses the quantity axis at $Q=60$. - For the $p$-intercept (where $Q_d=0$): $$0=60-3p$$ $$3p=60$$ $$p=\frac{60}{3}=20$$ So the demand curve crosses the price axis at $p=20$. 4. **Graphing notes:** - The horizontal axis is quantity $Q$. - The vertical axis is price $p$. - The demand curve starts at $(Q=60, p=0)$ and goes down to $(Q=0, p=20)$. - The supply curve $Q_s=3p$ passes through the origin $(0,0)$ and increases linearly. 5. **Summary:** - Demand curve intercepts: $Q$-intercept at 60, $p$-intercept at 20. - Supply curve intercept: passes through origin. This completes the analysis and graphing instructions for the demand and supply curves.