Set 2: Linear Inequalities (Advanced)

**Choice D is the best answer.** 2a + b <= 250, a + b <= 200. Solve for max a = 100

Explanation

Answer: D

PROBLEM

A factory produces at most 200 items. Type A takes 2 hrs, Type B takes 1 hr. Total 250 hrs available. Max Type A items?

A.

125

B.

50

C.

75

D.

100

✓ Correct

Detailed Explanation

Choice D is the best answer. 2a + b <= 250, a + b <= 200. Solve for max a = 100

Why others are wrong:

A: 125 is incorrect because it does not satisfy the equation.

B: 50 is incorrect because it does not satisfy the equation.

C: 75 is incorrect because it does not satisfy the equation.