Calculating the Opportunity Cost of Producing Additional Cloth on XYZ Island

Introduction

Opportunity cost is a fundamental economic concept that helps individuals and nations make decisions about resource allocation. It refers to the value of the next best alternative that must be foregone when a choice is made. In the context of XYZ Island, which produces 40 units of cloth and 120 units of food in a week, we will calculate the opportunity cost of producing an additional 20 units of cloth.

Background

XYZ Island’s economy is based on the production of two goods, cloth and food. To understand the opportunity cost of producing additional cloth, we need to examine the trade-off between cloth and food production. The island currently produces 40 units of cloth and 120 units of food each week.

Opportunity Cost Calculation

To calculate the opportunity cost, we’ll examine how much food XYZ Island must sacrifice to produce 20 more units of cloth. Currently, the island produces 40 units of cloth and 120 units of food. If they decide to allocate resources to produce an additional 20 units of cloth, their cloth production would increase to 60 units, while food production would decrease to 100 units.

Now, let’s find out the opportunity cost:

Opportunity Cost = What is Given Up / What is Gained

In this case, the opportunity cost is the food production sacrificed to gain 20 more units of cloth:

Opportunity Cost = (120 units of food – 100 units of food) / 20 units of cloth Opportunity Cost = 20 units of food / 20 units of cloth Opportunity Cost = 1 unit of food per unit of cloth

The opportunity cost of producing an additional 20 units of cloth on XYZ Island is 1 unit of food per unit of cloth.

Interpretation

This means that for every 20 units of cloth produced, XYZ Island must give up the production of 1 unit of food. This opportunity cost illustrates the trade-off between cloth and food production. If the island decides to allocate more resources to cloth production, they will have fewer resources available for food production, potentially affecting their overall well-being and food security.

Conclusion

Understanding the concept of opportunity cost is crucial for making informed economic decisions. In the case of XYZ Island, producing an additional 20 units of cloth comes at the expense of 1 unit of food. This knowledge can help islanders make strategic choices about resource allocation, taking into consideration their preferences and priorities in terms of cloth and food production. It also highlights the importance of balancing economic activities to optimize overall welfare and resource utilization on the island.