A diet is being developed which must contain at least 100 mg of vitamin C. Two fruits are used in this diet. Bananas contain 30 mg of vitamin C and Apples contain 20 mg of vitamin C. The diet must contain at least 100 mg of vitamin C. Which of the following constraints reflects the relationship between Bananas, Apples and vitamin C?
A) 20 A + 30 B ≥ 100
B) 20 A + 30 B ≤ 100
C) 20 A + 30 B = 100
D) 20 A = 100

Question

Quizplus · Accepted Answer

The constraint must ensure that the diet contains at least 100 mg of vitamin C. Therefore, we can use the inequality "20A + 30B ≥ 100", where A is the number of apples and B is the number of bananas. This is because each apple contributes 20 mg of vitamin C and each banana contributes 30 mg of vitamin C, so the total vitamin C in the diet is 20A + 30B. The greater than or equal to sign ensures that the total vitamin C is at least 100 mg. Choice A correctly reflects this relationship.

A Diet Is Being Developed Which Must Contain at Least