Question

Hi can you please answer these two questions!! ASAP, Thanks a lot!! :)

1) A rectangular box is to have a square base and a volume of 24 ft. ³. If the material for the base costs 20 cent/square foot, the material for the sides costs 10 cent/square foot, and the material for the top costs 40 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost.

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2) A book designer has decided that the pages of a book should have 1 in. margins at the top and bottom and  in. margins on the sides. She further stipulated that each page should have an area of 72 in. ² (see the figure).

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Determine the page dimensions that will result in the maximum printed area on the page, where .

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Answer 1

reactangle box have squire base - volume ²y = 24 y = 2 Cast, C. (E = 0.202 + oilla y.xx) +0.9.22 = 0,2 0,2 +0.4.9:24 +0.972 CM = 0.6712 + 9,8 22 #min cul = 0.672 +9.6 160 = 1.27 - 9.8 . = 1:2013 – 9,8 = 0 T + 7 n =2 how how z 1.2+ 19.2 23 = 12 + 19,2 = 1:2+ 2,4 = 316 70, y = 20 = 3 hence at my (2,3), Cast will be minimize and equal Je=06.24 = 7.2