Question: 7. A box with a square base and no top is to be built with all ofa $12 budget. The base costs $2/square foot while

7. A box with a square base and no top is to be
7. A box with a square base and no top is to be built with all ofa $12 budget. The base costs $2/square foot while the walls cost SLED/square foot. Let the side length of the box's base be I and the height of the box be it, both in feet. a. Write in in terms of I. b. Write the box's volume V as a polynomial function of I. c. State the domain of V and justify it mathematically. d. Use graphing technology to determine the maximum volume of such a 512 box

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