Calculate following:\

C

(i) (4%)

,Y=5-7\\\\times 8+3

(hint: you may want to re-write this equation using parentheses)\ C (ii) (4%)

,A=|(56-123)|

\ C (iii) (4%)

,V=prodl

where

I=(4,6,8)

\ C (iv) (4%) In C(iii) if 4, 6 and 8 are the lengths in meters of the three sides of a large box, what does\

V

stand for? (hint: this challenges you to think outside the box of this lecture)\

C(v)(4%),D=\\\\sum_(i=1)^n \\\\sum_(j=1)^m d_(ij)

\ for

n=2

depots and

m=4

cities, where the distances between each depot and city are:\

C

(vi) (4%) In question

C(v)

what does

D

measure in words and why might the distances be " 0 " in\ some of the fields? (hint: this challenges you to think outside the box of this lecture)\ C (vii) (4%) If you only need one depot to run your business servicing the four cities, identify and\ justify which depot is more efficient assuming an equal number of trips are required to\ service each city? (hint: this challenges you to think outside the box of this lecture)\

C

(iix) (7%) Calculate

W

to within two digits to the right of the decimal point. Show all steps in\ calculation.\

W=R\\\\times ((\\\\sqrt(F)+\\\\sum_(i=1)^n L)-(prod_(j)=1^(m)(P)/(4)!))\ where: R=|(268-272|)\ F=16\ L=(74,12,-82,33,-74,5,25,0,-6)\ n=9\ P=(5,3,6,2,4,2)\ m=6

\ Part C Reflection (no marks - no need to hand anything in)\ Using a maximum of one page, drawing on parallels with written and spoken communication, explain\ why you think it is important to have a numerical language, and why it is important to have a system\ logically and consistently to classify numerical data?

C (i) (4%)Y=578+3 (hint: you may want to re-write this equation using parentheses) C( ii) (4%)A=(56123) C (iii) (4%)V=l where I=(4,6,8) C (iv) (4\%) In C(iii) if 4, 6 and 8 are the lengths in meters of the three sides of a large box, what does V stand for? (hint: this challenges you to think outside the box of this lecture) C(v)(4%)D=i=1nj=1mdij for n=2 depots and m=4 cities, where the distances between each depot and city are: C(vi)(4%) In question C(v) what does D measure in words and why might the distances be " 0 " in some of the fields? (hint: this challenges you to think outside the box of this lecture) C (vii) (4\%) If you only need one depot to run your business servicing the four cities, identify and justify which depot is more efficient assuming an equal number of trips are required to service each city? (hint: this challenges you to think outside the box of this lecture) C (iix) (7\%) Calculate W to within two digits to the right of the decimal point. Show all steps in calculation. W=R((F+i=1nL)(j=1mP/4!))where:R=(268272)F=16L=(74,12,82,33,74,5,25,0,6)n=9P=(5,3,6,2,4,2)m=6 Part C Reflection (no marks - no need to hand anything in) Using a maximum of one page, drawing on parallels with written and spoken communication, explain why you think it is important to have a numerical language, and why it is important to have a system logically and consistently to classify numerical data