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PRC-2 · Chapter 4 · Question 23 of 60

At what exact coordinate point do the linear boundary constraints x + y = 100 and 2x + y = 150 intersect?

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Reveal answer & explanation

Correct answer: B) (50, 50)

Explanation

Subtract the first equation from the second: (2x + y) - (x + y) = 150 - 100. This leaves x = 50. Substitute x = 50 into the first equation: 50 + y = 100, which means y = 50. The intersection is (50, 50).

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