What is the constraint that ensures the chickens receive sufficient vitamins?

What is the constraint that ensures the chickens receive sufficient vitamins?

• A. 140xa + 70xb ≥ 700
• B. xa + xb ≥ 700
• C. 80xa + 100xb ≤ 400
• D. xa + xb ≤ 200

Answer: (A)

The provided answer states that the constraint ensuring the chickens receive sufficient vitamins is represented by the equation 140xa + 70xb ≥ 700. This constraint can be understood in terms of how it captures the relationship between the amount of vitamins provided by two different sources (represented by xa and xb) and the total amount of vitamins required for the chickens. In this expression, 140 signifies the amount of vitamins contributed by each unit of xa, while 70 represents the contribution per unit of xb. The inequality ≥ 700 indicates that the total amount of vitamins from both sources should meet or exceed the nutritional requirement of 700 units. This is crucial in ensuring that the chickens receive enough vitamins for their health and growth. The other constraints, while they may address different aspects such as total resources or limitations, do not specifically ensure that the vitamin requirement is met. Thus, the selected constraint precisely captures the necessary condition for providing sufficient vitamins, making it the correct choice.

The provided answer states that the constraint ensuring the chickens receive sufficient vitamins is represented by the equation 140xa + 70xb ≥ 700. This constraint can be understood in terms of how it captures the relationship between the amount of vitamins provided by two different sources (represented by xa and xb) and the total amount of vitamins required for the chickens.

In this expression, 140 signifies the amount of vitamins contributed by each unit of xa, while 70 represents the contribution per unit of xb. The inequality ≥ 700 indicates that the total amount of vitamins from both sources should meet or exceed the nutritional requirement of 700 units. This is crucial in ensuring that the chickens receive enough vitamins for their health and growth.

The other constraints, while they may address different aspects such as total resources or limitations, do not specifically ensure that the vitamin requirement is met. Thus, the selected constraint precisely captures the necessary condition for providing sufficient vitamins, making it the correct choice.