Question

Minimizing Construction Costs The management of the UNICO department store has decided to enclose an 893 ft? area outside the building for displaying potted plants and flowers. One side will be formed by the external wall of the store, two sides will be constructed of pine boards, and the fourth side will be made of galvanized stoel fencing. If the pine board fencing costs $4/running foot and the steel fending costs $2/running foot, determine the dimensions of the enclosure that can be erected at minimum cost. (Round your answers to one decimal place.) STORE wood side steel wide Need Help? Red w arth 2:00 PM Type here to search

Answer 1

foot foot Area = 893 ft² 2 sides of Pine board, fencing cost = $4/running for One side of steel fencing cost = $2/ running One side is wall: No cost. Area - (pine board hength) x (steel) Say length of pine board - then sted length - 093 How

then sted length = 893 Cost = 2xx4 + 893 x2 Cost = ax + 1786 x for minimum lost a cost = 0 dlost - d - 1786 = 0 8 = 1786 22 x2 x2 x² = 1786 - 223.25 x = J 223,25 = 14.94 wood side = 114.9|ft Steel side = 993 = [59.0 ft 14.94
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