You have this chart of combinations of clothing and food. You have to find the marginal opportunity cost and the total cost of producing the second unit of clothing. And then same for the third unit of clothing.
Clothing: 4 3 2 1 0
Food: o 7 13 18 22
To find the marginal opportunity cost of producing the second unit of clothing, we need to calculate the difference in the quantity of food produced when we produce two units of clothing instead of one.
First, let's identify the change in food production when we go from one unit of clothing to two units:
Food: o 7 13 18 22
Clothing: 4 3 2 1 0
When we produce one unit of clothing, the corresponding food production is 7 units. When we produce two units of clothing, the corresponding food production is 13 units. Therefore, the change in food production is 13 - 7 = 6 units.
The marginal opportunity cost of producing the second unit of clothing is the change in food production divided by the change in clothing production:
Marginal Opportunity Cost = Change in Food Production / Change in Clothing Production
= 6 units / (2 units - 1 unit)
= 6 units
So, the marginal opportunity cost of producing the second unit of clothing is 6 units of food.
To calculate the total cost of producing the second unit of clothing, we need to add the marginal opportunity cost to the total cost of producing the first unit of clothing:
Total Cost of Producing the Second Unit of Clothing = Total Cost of Producing the First Unit of Clothing + Marginal Opportunity Cost
= 7 units + 6 units
= 13 units
Therefore, the total cost of producing the second unit of clothing is 13 units of food.
To find the marginal opportunity cost and total cost of producing the third unit of clothing, we repeat the same process but compare the production at two and three units of clothing.
Food: o 7 13 18 22
Clothing: 4 3 2 1 0
Change in food production from two to three units of clothing = 22 units - 13 units = 9 units.
Change in clothing production = 3 units - 2 units = 1 unit.
Marginal Opportunity Cost = Change in Food Production / Change in Clothing Production
= 9 units / 1 unit
= 9 units
Total Cost of Producing the Third Unit of Clothing = Total Cost of Producing the Second Unit of Clothing + Marginal Opportunity Cost
= 13 units + 9 units
= 22 units
Therefore, the marginal opportunity cost of producing the third unit of clothing is 9 units of food, and the total cost of producing the third unit of clothing is 22 units of food.