1

Set 1: Linear Inequalities (Advanced)

Explanation

Answer: A

PROBLEM

A company needs at least 500 units. Machine A makes 20/hr, B makes 30/hr. If A runs for 10 hrs, minimum hours for B?

A company needs at least 500 units. Machine A makes 20/hr, B makes 30/hr. If A runs for 10 hrs, minimum hours for B?

A.

10

✓ Correct
B.

8

C.

15

D.

12

Detailed Explanation

Choice A is the best answer. 20(10) + 30b >= 500. 30b >= 300, b >= 10

Why others are wrong:
B: 8 is incorrect because it does not satisfy the equation.
C: 15 is incorrect because it does not satisfy the equation.
D: 12 is incorrect because it does not satisfy the equation.