The management of the UNICO department store has decided to enclose an 814 ft 2

Question

The management of the UNICO department store has decided to enclose an814ft2area 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 steel fencing. If the pine board fencing costs$4/running foot and the steel fencing costs$2/running foot, determine the dimensions of the enclosure that can be erected at minimum cost. (Round your answers to one decimal place.)

a) wood side= NOT 14.5

b) steel side= NOT 56.13

Explanation / Answer

Let wood side be "l" ft and steel side be "b" ft

so, 4l = 2b

b = 2l

Now, area of the enclosure = l X b = 814

2l2 = 814

l2 = 407

l = 20.17 ft [ wood side]

b = 40.24ft [steel side]

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.