C(X) = 5.82X + 75
1. Find \(C(50)\)
C(50) = 5.82 \cdot 50 + 75
C(50) = 291 + 75
C(50) = 366
2. Use a complete sentence to explain what \(C(50)\) represents in this scenario.
\[Solution\]
\(C(50) = 366\)
\[Step-by-Step\]
1. Substitute \(X = 50\) into the cost function \(C(X) = 5.82X + 75\):
C(50) = 5.82 \cdot 50 + 75
2. Calculate the product:
5.82 \cdot 50 = 291
3. Add the fixed cost:
291 + 75 = 366
4. The cost to produce 50 tiramisus is:
C(50) = 366