Answer:
Total cost F (w) = 160/w + 200* √(2w)
Step-by-step explanation:
Volume in cubic feet
V (box) = x*y*w and square base means x=y so V= 2 = x^(2)*w
hence x^(2) = 2/w (1)
Area of base and top in square feet, and cost in $
Area(t+b) = 2*x*y = 2x^(2) C(1) = Cost of ( base + top) C(1) = 40*2x^(2)
C(1) =80*x^(2) and from eq. 1
C(1) = 80*2/w = 160/w
Area of sides = 4 * x* w = 4*√((2/w))*w
C(2) = Cost of sides. is: C(2)= 50*4*√((2/w))*w C(2) = 200* √2w
Total Cost = F(c) = 160/w +200*√2w
