The vector u = (3900, 5300) gives the number of units of two models of laptops produced by a company. The vector v = (2000, 1100) gives the prices (in dollars) of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%.

Question

The vector u = (3900, 5300) gives the number of units of two models of laptops produced by a company.  The vector v = (2000, 1100) gives the prices (in dollars) of the two models of laptops, respectively.  Identify the vector operation used to increase revenue by 5%.

amistre64 · Answer

what vector operation whould we perform on these?

anonymous · Answer

dot product?

amistre64 · Answer

thats a vector operation fer sure; but is it applicable:)

amistre64 · Answer

i dont know if we add them of what lol

anonymous · Answer

well my guess is I have to do something to find magnitude....

amistre64 · Answer

dot product doesnt give a magnitude per se; just a scalar amount

anonymous · Answer

it fels empty without you amistre

amistre64 · Answer

lol.... um.. glad to hear  :)

amistre64 · Answer

it should at least feel quezy now that im back :

anonymous · Answer

you gobble up medals like hell

amistre64 · Answer

just call me pac-man lol

amistre64 · Answer

we can create linear representations maybe?

anonymous · Answer

oh ok...

amistre64 · Answer

2000 for a laptop, is that what im reading?

anonymous · Answer

I think V has two prices for two different laptops

amistre64 · Answer

right, but the vector itself is an arrow with a slope of y/x... its component parts

anonymous · Answer

ok I gotcha... so the 3900 laptops cost 2000

amistre64 · Answer

i cant parse the question tho... how much revenue was made in order to know how much 5% of an increase is....

amistre64 · Answer

yes

amistre64 · Answer

revenue = number sold * price per unit right?

anonymous · Answer

uhm.. idk it doesn't say... but yes revenue does equal that
A) u.(1.05)llvll
B) 1.05(u.v)
C) 1.05llu.vll
D) 1.05llull.v
E) 1.05(u+v)

amistre64 · Answer

that helps :)

1.05 is the amount you would normal multiply by to find the total paid for something..

amistre64 · Answer

B makes no sense; since dpt product doesnt produce another vector..

amistre64 · Answer

A makes no sense since you cant dot product to a number

anonymous · Answer

right....I still don't really get the 1.05 thing but that's ok I guess

amistre64 · Answer

c is asking for the magnitude of a scalar number which is pointless

anonymous · Answer

E? that would be my guess

amistre64 · Answer

E is the only one that makes sense to me as far as vectot operations go

anonymous · Answer

ok That's what i had down , but wasn't sure Thank you....

amistre64 · Answer

when will you know if its right :)

anonymous · Answer

Uhm idk when I turn it in I guess... I have six more problems to work through with dot product and vectors and what not

anonymous · Answer

I think it might be d actually.

anonymous · Answer

Oh wait, no. I misread that

anonymous · Answer

B makes the most sense to me. (u.v) would be the revenue (the quantities of each laptop produced times that laptop's price). So 1.05*(u.v) would increase the revenue by 5%.

anonymous · Answer

Unit analysis comes in handy here. u.v = . < money/quantity, money/quantity> = (quantity * money/quantity) + (quantity * money/quantity) = money u+v = . < money/quantity, money/quantity> = Which doesn't really make sense for revenue to be a vector.

amistre64 · Answer

doesnt (u.v) represent a vector produced from a scalar amount tho?  not quite sure how to read the notation

anonymous · Answer

ya you were right it was b....

anonymous · Answer

The dot product of vectors is a scalar.