Subjects economics

Demand Curve Dd0E40

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

Use the AI math solver

1. **State the problem:** We need to visually construct the demand curve given the demand function $$P=4 \times Q + 100$$. 2. **Understand the demand function:** The demand function relates price $P$ to quantity demanded $Q$. Here, $P$ is expressed as a function of $Q$. 3. **Rewrite the function:** The function is $$P = 4Q + 100$$. 4. **Interpret the function:** This is a linear function with slope 4 and intercept 100. It means for every unit increase in quantity $Q$, price $P$ increases by 4. 5. **Construct points:** To plot the demand curve, calculate $P$ for various values of $Q$. - For $Q=0$, $$P=4 \times 0 + 100 = 100$$. - For $Q=10$, $$P=4 \times 10 + 100 = 140$$. - For $Q=20$, $$P=4 \times 20 + 100 = 180$$. 6. **Plot the points:** Plot $(0,100)$, $(10,140)$, and $(20,180)$ on the $Q$-$P$ plane. 7. **Draw the curve:** Connect these points with a straight line since the function is linear. **Final answer:** The demand curve is the line $$P=4Q+100$$ which can be plotted using the points calculated above.