Answer:
Step-by-step explanation:
Lets suppose the one side be x and the other side of the rectangle be y
given area [tex]x*y=650ft^2[/tex]
implies x = 650/y
Cost = 2*4*x+2*3*y=8x+6y
= 8*650/y + 6y
= 5200/y + 6y
upon differentiating we get
=[tex]-5200/y^2 + 6=0[/tex]
[tex]y^2[/tex]= 2600/3
y= [tex]10\sqrt{26/3}[/tex]= 43.3
x= 15
C(43.3)= [tex]10400/(43.3)^3[/tex]>0 hence it is a minima value
optimizing the result we get
Cost = 8*15+6*43.3 =$ 379.8
