Question

UPPER AND LOWER BOUNDS

Answer 1

Answer:

51.7mm

Step-by-step explanation:

#Find the minimum bound of the back/front thickness:

-Given that it's rounded to one decimal point, the margin or error will be:

$ME=\frac{1}{2}\times0.1\\\\=0.05$

We subtract this ME from the front thickness to get the minimum thickness:

$M_t=0.9-0.05\\\\=0.85\ mm$

#Find the minimum bound of the pages:

-Given that it's rounded to one decimal point, the margin or error will be:

$ME=\frac{1}{2}\times0.01\\\\=0.005$

We subtract this ME from the page thickness to get the minimum thickness:

$M_p=0.13-0.005\\\\=0.125\ mm$

The minimum book thickness is thus calculated as:

$M_[bt}=2\times M_t+400\times M_p\\\\=0.85\times 2+400\times 0.125\\\\=51.7\ mm$

Hence, the minimum thickness of the book is 51.7 mm