hard · GMAT Quant
A tech startup models its daily server operating cost C(x) based on x active microservices, where x is a positive integer. The baseline cost function is C(x) = x^2 - 12x + 80 thousand dollars. If the active server capacity ratio R(x) = (x - 2)(x - 8) is strictly negative (R(x) < 0), a backup power draw is triggered, modifying the daily cost to C(x) + 20 thousand dollars; otherwise, the cost remains C(x).
What is the minimum possible daily server operating cost, in thousands of dollars, for 1 ≤ x ≤ 10?
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