Answer:
Dimension
Height =29.01
Breadth=38.70
Step-by-step explanation:
Printed area is =386 and margins as specified.
For printed area let height be x and breadth be y.
x*y=386 ⇒ y = [tex]\frac{386}{x}[/tex]
Now considering the margins
Height = x+6+6=x+12
Weidth = [tex]\frac{386}{x}[/tex] +8 +8= [tex]\frac{386}{x}[/tex] + 16
Area of poster to be minimised =(x+12)([tex]\frac{386}{x}[/tex] + 16)
Differentiate above area with respect to x and equate to zero to find extrema.
[tex]\frac{dA}{dx}[/tex] = 16 -[tex]\frac{12*386}{x^{2} }[/tex]=0
x=17.01
Now plug value of x in height and breadth
Height =29.01
Breadth=38.70
