Final Answer:
c. 15 units of ore, 5 units of lumber
Step-by-step explanation:
In the Leontief model, the production schedule is determined based on the external demand for goods and the input-output coefficients. To meet the external demand of 20 units of ore and 8 units of lumber, we must use the coefficients provided.
For 20 units of ore, the internal consumption is 20 * 0.2 = 4 units of ore. Subtracting this from the total production gives 20 - 4 = 16 units of ore available for external demand. For 8 units of lumber, the internal consumption is 8 * 0.3 = 2.4 units of ore. So, the external demand for ore is 16 - 2.4 = 13.6 units.
To find the production of lumber, we use the input-output coefficients. For 13.6 units of ore, the production of lumber is 13.6 * 0.5 = 6.8 units.
Therefore, the production schedule is 15 units of ore (external demand) and 6.8 units of lumber, which can be approximated to 5 units. The correct option is c. 15 units of ore, 5 units of lumber.