Minimizing the cost of building a box
A decorative box will be made, and the top and bottom (base) will be square. The material needed to make the base will cost 1 dollar per square foot, while the material to make the top and sides will cost $2 per square foot. The box must have a volume of 100 cubic feet. What should be the dimensions of the box so the cost of building the box is minimized.
13
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
2 Attachments
93
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 1486 views
- $3.00
Related Questions
- Application of integrals
- Prove that $\lim_{n\rightarrow \infty} \int_{[0,1]^n}\frac{|x|}{\sqrt{n}}=\frac{1}{\sqrt{3}}$
- Extremal values/asymptotes
- 3 Multi-step response questions
- Find all values of x... (Infinite Sums)
- Explain partial derivatives v2
- Find the exact form (Pre-Calculus)
- Fields and Galois theory