Question

MEDAL and FAN


This is a fundraiser project as being the Class Treasurer. The goal is to take in as much money as possible via fund raisers and spend it all on specific projects by the end of the school year to get as close to zero as possible. Use the financial records of the fundraising events and project spending to figure out the combination of the most effective fundraisers and projects so as to get as close to zero, without over spending.

Answer 1

@phi

Answer 2

my problem is when it comes to getting as close to zero as possible

Answer 3

so can someone please help me?

Answer 4

I really really need help... Please whoever helps I will be very happy :)

Answer 5

This looks like a linear optimization problem. Do you have more details on this ?

Answer 6

whats the module/chapter name this project belongs to ?

Answer 7

this is only adding and subtracting integers.

Answer 8

seventh grade

Answer 9

I am still trying to figure out what the problem is about

Answer 10

as far as I understand about this problem, it might mean that there is already a fixed amount of fundraising money. the projects are the ones that the treasurer needs to get. therefore, i think, that we should try out different prices of the projects and see the combinations. then, see which ones when subtracted from the total of the fundraising money, might bring us the closest to zero.

Answer 11

my conflict is when it comes to choosing the combinations and seeing whether they will be close enough to zero or not.

Answer 12

Like,

if you want to choose one fundraiser and one project,
the minimum difference = 10

?

Answer 13

yeah something like that maybe

Answer 14

Notice that the difference will be in multiples of 10

Answer 15

having figured out that we can achieve the difference as low as 10,
the only option left out is 0

Answer 16

yes ?

Answer 17

although I do see a short-cut. halloween candy is $400
and class hats is $400. zero is as small as you can get.

Answer 18

so what projects should i get then?

Answer 19

that settles right ?

Answer 20

what projects and maybe combinations should i have? i am having trouble on those.

Answer 21

but it would be a boring assignment if it were this simple
i smell you're hiding some important details/constraitns

Answer 22

i will attach a picture. one moment...

Answer 23

yes

Answer 24

Agree, it need not be so trivial also
he is in 1+1+1+1+1+1+1 th grade !

Answer 25

Perhaps they want this:
add up the amount raised: 2570
add up amount that could be spent: 2660
take away the smallest project that makes the cost less than 2570
i.e. take away books for library (200) for total cost of 2460
difference is 2570-2460= 90

Answer 26

i am on your track phi, but what do you mean by "take away"?

Answer 27

that makes more sense

Answer 28

we can't afford 2660 (only have 2570, so we have to cut some expense)

Answer 29

but how can i take away the library books? by purchasing them?

Answer 30

if you purchase them, you need to pay for them

Answer 31

they ask for the "combination of projects" (that you can afford)
that implies you can leave out some of them

Answer 32

oh. so are you trying to say that i shouldn't get the books (if i am wrong, forgive me) ?

Answer 33

in other words, some projects don't get done, because you did not raise enough money.
The question is, which project should you cut?

Answer 34

books

Answer 35

am i right?

Answer 36

you may cut dances fundraiser also to get the balance close to 0

Answer 37

yes. dropping lollipops is not enough. dropping any other project makes the difference between the amount raised and amount spent bigger than the 90 we get if we drop the books

Answer 38

okay so now i need help on the combinations please. will that be okay?

Answer 39

so now my balance is 2460 right?

Answer 40

They do say "combination of fund raisers", implying dropping some of the funds.
As ganesh points out, if you drop the dance funds your difference between raised and spent is $10

Answer 41

sorry but i don't get "if you drop the dance funds your difference between raised and spent is $10"

Answer 42

if you don't use the dance funds, you bring in 2490
and you spend 2460, which leaves a delta of 30

(sorry, not 10)

Answer 43

are the costs predetermined an immutable?

Answer 44

will 30 be the closest to 0?

Answer 45

for example, rent and electricity are bills that i HAVE to pay, and therefore they cant just be swept under the rug in the monthly budget; whereas internet and dining out are not 'necessary'

Answer 46

otherwise, 0 fundraising can be applied to 0 costs lol

Answer 47

well some you can throw away because you are given the combination of the fundraisers. i need it to be as much close to 0 as possible.

Answer 48

To be honest, I don't know exactly what they are looking for. The "most money" but with the closest to zero? I would just go with what you found so far: leave out the dance funds, leave out the book project, and hope that's a reasonable answer

Answer 49

total your costs, assuming they are fixed

then you need to determine a lattice for the fundrasing to cover the costs to as close to a zero balance as possible. is the way im reading/misinterpreting it

Answer 50

^^

Answer 51

the costs total more than the available funds, so you have to cut some of the costs.

Answer 52

can negative be closest to zero?

Answer 53

no you can't over spend it.

Answer 54

it says negative balance is not allowed

Answer 55

then my assumptions are just wrong lol

Answer 56

okay so this is my final answer:
i will leave out the dance to get $2490 -- since $2570 - $80. i will also take out books because it will make the cost less than the money raised by taking out the books
($2660 - $200 = $2460). then i will get a combination of each (yearbook, food bank, grift, hat, lollipop)

Answer 57

@phi

Answer 58

will this be correct?

Answer 59

mathematically, 0 fundraisers and 0 projects is "a" answer
but practically if you're a representatice of student body, you would cut books and dances and let other stuff happen. cutting dances is necessary as it brings your balance close to 0 making you appear as a wise spender

Answer 60

@ganeshie8

Answer 61

and i forgot to add:
"that will get the difference of $30" the least as i can get

Answer 62

@ganeshie8 am i correct?

Answer 63

so you are raising a total of $2490
and spending a total of $2460

leaving out dances and books

looks good to me !

Answer 64

thank you!!! :)