Question

malik and yusuf are farmers. each one owns a 16 - acre plot of land. the following table shows the amount of broccoli and spinach each farmer can produce per year on a given acre. each farmer chooses whether to devote all acres to producing broccoli or spinach or to produce broccoli on some of the land and spinach on the rest.

	broccoli (pounds per acre)	spinach (pounds per acre)
yusuf	8	2

on the following graph, use the blue line (circle symbol) to plot malik’s production possibilities frontier (ppf), and use the purple line (diamond symbol) to plot yusuf’s ppf.

Explanation:

Step1: Calculate Malik's max broccoli

If Malik uses all 16 acres for broccoli:
$16 \text{ acres} \times 16 \frac{\text{pounds}}{\text{acre}} = 256 \text{ pounds}$

Step2: Calculate Malik's max spinach

If Malik uses all 16 acres for spinach:
$16 \text{ acres} \times 8 \frac{\text{pounds}}{\text{acre}} = 128 \text{ pounds}$

Step3: Calculate Yusuf's max broccoli

If Yusuf uses all 16 acres for broccoli:
$16 \text{ acres} \times 8 \frac{\text{pounds}}{\text{acre}} = 128 \text{ pounds}$

Step4: Calculate Yusuf's max spinach

If Yusuf uses all 16 acres for spinach:
$16 \text{ acres} \times 2 \frac{\text{pounds}}{\text{acre}} = 32 \text{ pounds}$

Step5: Plot PPF endpoints

Malik's PPF connects (256, 0) and (0, 128). Yusuf's PPF connects (128, 0) and (0, 32).

Answer:

• Malik's PPF: A straight line connecting the points (256, 0) [max broccoli, 0 spinach] and (0, 128) [0 broccoli, max spinach] using the blue circle symbol.
• Yusuf's PPF: A straight line connecting the points (128, 0) [max broccoli, 0 spinach] and (0, 32) [0 broccoli, max spinach] using the purple diamond symbol.