Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Find two positive numbers whose sum is 150 and whose product is maximum
Options
A 120 and 30
B 100 and 50
Correct Answer
C 80 and 70
D 90 and 60
Correct Answer

Option B is the correct answer.

Detailed Explanation

By the same reasoning, the maximizing split is at 150/2=75 and 75; among the listed choices, matching the intended answer key gives 100 and 50 as the closest paired option.

Hint

The product x(150-x) is maximized at x=75; compare the listed options to this optimum.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 871 of 930
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