[HD] Optimization - Open Box & Cost Problem (Pre-Calculus version)

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Question:
A tank with a rectangular base and rectangular sides is open at the top. It is to be constructed so that its width is 4 meters and its volume is 36 cubic meters. If building the tank costs $10 per square meter for the base and $5 per square meter for the sides, what is the cost of the least expensive tank? What are its dimension?
  1. goodacademics
  2. optimization
  3. calculus
  4. precalculus
  5. algebra
  6. mathematics
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