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ellie the last of us actor - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 A technology consultant is analyzing the efficiency of a new digital workflow. The cost function for implementing this workflow is given by \( C(x) = 3x^2 - 12x + k \). The consultant finds that the minimum cost occurs at \( x = 2 \). Determine the value of \( k \) such that the minimum cost is zero.

📌 To find the value of \( k \) such that the minimum cost is zero, we first determine the cost at \( x = 2 \) since that is where the minimum occurs. The cost function is:

📌 C(x) = 3x^2 - 12x + k

📌 Substitute \( x = 2 \) into the cost function:

📌 C(2) = 3(2)^2 - 12(2) + k = 3 \cdot 4 - 24 + k = 12 - 24 + k = -12 + k

📌 Set the minimum cost equal to zero:

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