QUESTION IMAGE
Question
- comparative and absolute advantage activity frame kai and jalen are farmers. each one owns an 18 - acre plot of land. the following table shows the amount of kale and celery each farmer can produce per year on a given acre. each farmer chooses whether to devote all acres to producing kale or celery or to produce kale on some of the land and celery on the rest.
| kale (pounds per acre) | celery (pounds per acre) | |
|---|---|---|
| jalen | 18 | 6 |
on the following graph, use the blue line (circle symbol) to plot kai’s production possibilities frontier (ppf), and use the purple line (diamond symbol) to plot jalen’s ppf.
(graph: vertical axis is celery (pounds) with values 0, 18, 36, 54, 72, 90, 108, 126, 144, 162, 180; horizontal axis is kale (pounds) with values 0, 90, 180, 270, 360, 450, 540, 630, 720, 810, 900. there are two lines: blue line labeled kai’s ppf, purple line labeled jalen’s ppf)
Step1: Calculate Kai's max kale
Total kale = 28 lbs/acre × 18 acres
$\text{Max Kale (Kai)} = 28 \times 18 = 504$ pounds
Step2: Calculate Kai's max celery
Total celery = 7 lbs/acre × 18 acres
$\text{Max Celery (Kai)} = 7 \times 18 = 126$ pounds
Step3: Calculate Jalen's max kale
Total kale = 18 lbs/acre × 18 acres
$\text{Max Kale (Jalen)} = 18 \times 18 = 324$ pounds
Step4: Calculate Jalen's max celery
Total celery = 6 lbs/acre × 18 acres
$\text{Max Celery (Jalen)} = 6 \times 18 = 108$ pounds
Step5: Define PPF endpoints
Each PPF is a straight line connecting two points: (max kale, 0) and (0, max celery)
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
For Kai's PPF (blue circle line):
- Plot the point $(504, 0)$ (all land for kale)
- Plot the point $(0, 126)$ (all land for celery)
- Draw a straight line connecting these two points
For Jalen's PPF (purple diamond line):
- Plot the point $(324, 0)$ (all land for kale)
- Plot the point $(0, 108)$ (all land for celery)
- Draw a straight line connecting these two points