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.
Sarah M
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
Mathtutor
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
- 1256 views
- $3.00
Related Questions
- Find $\int x \sqrt{1-x}dx$
- Integrate $\int x^2(1-x^2)^{-\frac{3}{2}}dx$
- Evaluate the integral $\int_{-\infty}^{+\infty}e^{-x^2}dx$
- Create a function whose derivate is:
- Calculus Questions - Domains; Limits; Derivatives; Integrals
- Donald is 6 years older than Sophia. In 4 years the sum of their ages will be 74. How old is Donald now?
- Prove the trig identity $\frac{\sin x +\tan x}{1+\sec x}=\sin x$
- Convergence of $\sum\limits_{n=1}^{\infty}(-1)^n\frac{n+2}{n^2+n+1}$
