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A closed box with square base has volume of 16000 cm3. Material for the top of the box costs 3 dollars per cm3 and the sides costs 1.50 cm3. Whats minimum costs.?
Wiki User
∙ 15y ago
$6000 the box has a square base of 20 cm x 20 cm and a height of 40 cm. Its all in the calculus b = side of base Cost = 6b2 + (96,000/b) Derivative of Cost = 12b - (96,000/b2) Solve for b ______________________________ I respectfully disagree with your answer. Try using the cube root of 16000. Or, if you prefer rounder numbers, try length = 25, width = 25, height = 25.6. Of course, this is a crude approximation, but you still end up with a total cost of $5715, so I saved you at least $285. If you used exact numbers, you'd end up with $5714 and some change. Matt
Wiki User
∙ 15y ago
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