Question 1 · Data Response Short Answer
2.66 marksA fictional country, Zentopia, has the following production possibility schedule: Point A (0 Agricultural, 100 Technological), Point B (20 Agricultural, 90 Technological), Point C (40 Agricultural, 70 Technological), Point D (60 Agricultural, 40 Technological), Point E (80 Agricultural, 0 Technological). Calculate the opportunity cost of increasing the production of agricultural goods from 20 units to 60 units, and explain whether the opportunity cost is constant or increasing.
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Worked solution
At 20 units of agricultural goods, the economy produces 90 units of technological goods. To increase agricultural goods to 60 units, production of technological goods must fall to 40 units. The opportunity cost is the foregone output of technological goods: \(90 - 40 = 50\) units. The opportunity cost is increasing, because the cost of producing successive increments of 20 agricultural units rises from 10 units of technology (from A to B), to 20 units (B to C), and finally to 30 units (C to D).
Marking scheme
1.0 mark for the correct calculation of opportunity cost (50 units of technological goods). 1.0 mark for identifying that opportunity cost is increasing. 0.66 marks for providing the clear step-by-step evidence from the schedule showing rising trade-offs.