Your task is to design a rectangular industrial warehouse consisting of three se

Question

Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equal size.

The wall materials cost $55 per linear foot and your company has allocated $33000 for those walls.
1) The dimensions which use all of the budget and maximize total area are

2) Each of the three (equal size) compartments has area __________ (include units)

Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equal size. Your task is to design a rectangular industrial warehouse consisting of three separate spaces of equal size. W =__________ (units needed here too) 2) Each of the three (equal size) compartments has area __________ (include units) L = __________ (include units in this answer) width The wall materials cost $55 per linear foot and your company has allocated $33000 for those walls. 1) The dimensions which use all of the budget and maximize total area are length

Explanation / Answer

cost of material = $33000 = $ 55*2(L + 2W) => (L + 2W)=300

L=300-2W

area = L*W = 300W - 2W2

for maximum area d(area)/dW = 0 =300 - 4W => W= 75 foot

L = 150 foot

area of one compartment = L*W/3 = 150*75/3 = 3750 foot2

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