Are there any smart people on here?
MEDAL + (awesome) TESTIMONIAL

Question

Are there any smart people on here?
MEDAL  +  (awesome)     TESTIMONIAL

anonymous · Answer

A. The parade must be at least 150 ft long, but less than 200 ft long. What combinations of large and small floats are possible?

B. Large floats cost $600 to operate. Small floats cost $300 to operate. The town has a budget of $2500 to operate the floats. How does this change your part (a)? What combinations of large and small floats are possible?

anonymous · Answer

http://assets.openstudy.com/updates/attachments/52ae7d83e4b0f72fdcf7eb04-stormoshawty-1387167120918-paradefloats.png

anonymous · Answer

i guess lots of combinations are possible

anonymous · Answer

you have 65 feet total in the picture

anonymous · Answer

Yes.

anonymous · Answer

$$10,~~~~30,~~~~10,~~~~15$$I am up to so far.$$150≤parade<200$$

anonymous · Answer

40 for large, 25 for small
are we supposed to find them all?

anonymous · Answer

I suppose; yes, that's what the question apparently asking.

anonymous · Answer

you could have 5 large, no small since $5\times 40=200$
or you could have 4 large, one small since $4\times 40+25=185$ 
shall we keep going?

anonymous · Answer

how about 3 large and 3 small since $3\times 40+3\times 25=195$

anonymous · Answer

So we would have to check out many times and count them

anonymous · Answer

i guess so 
seems rather annoying
how about 3 large and two small?

anonymous · Answer

It would be a lot, OK, Ill finish part A later, can you help me on Part b?

anonymous · Answer

$3\times 40+2\times 25=170$ so i guess we can do that too

anonymous · Answer

can't really do B without A

anonymous · Answer

maybe we can make a table of large and small combinations

anonymous · Answer

OK

anonymous · Answer

hold on a sec

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
\hline
\end{array}
$$took me a while
lets continue

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
 4& 1 &185  &2700  \
\hline
\end{array}$$

anonymous · Answer

o boy...

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
 4& 1 &185  &2700  \
3& 2 &170 &2400  \
\hline
\end{array}$$
is it clear where i am getting these numbers from?

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
 4& 1 &185  &2700  \
3& 2 &170 &2400  \
x& y &40x+25y &600x+300y \
\hline
\end{array}$$

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
 4& 1 &185  &2700  \
3& 2 &170 &2400  \
4& 0&160 &2400 \
\hline
\end{array}$$

anonymous · Answer

I am kind of following, but it's too much work...

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
 4& 1 &185  &2700  \
3& 2 &170 &2400  \
4& 0&160 &2400 \
3& 3&195 &2700 \
\hline
\end{array}$$

anonymous · Answer

this is overall? all combinations?

anonymous · Answer

i don't see any good way to do it
you are looking for integers solutions to 
$$150<40x+25y<200$$

anonymous · Answer

we haven't got to the two large float cases yet

anonymous · Answer

wouldn't it be $$150≤40x+25y<200$$

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
 4& 1 &185  &2700  \
3& 2 &170 &2400  \
4& 0&160 &2400 \
3& 3&195 &2700 \
2& 4& 180&2400 \
\hline
\end{array}$$

anonymous · Answer

picky picky
yes

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
 4& 1 &185  &2700  \
3& 2 &170 &2400  \
4& 0&160 &2400 \
3& 3&195 &2700 \
2& 4& 180&2400 \
2& 3&155&2100 \
\hline
\end{array}$$

anonymous · Answer

i gotta go to bed
but you don't have that much more to do

anonymous · Answer

only the cases with 1 large and no large
i guess we might as well finish

anonymous · Answer

i am going to be annoyed if this was a simpler problem
but as i read it, this is what you have to do
what class is this?

anonymous · Answer

I am currently taking trig, although this one is not really trig problem isn't it?

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
 4& 1 &185  &2700  \
3& 2 &170 &2400  \
4& 0&160 &2400 \
3& 3&195 &2700 \
2& 4& 180&2400 \
2& 3&155&2100 \
1& 6&190&2400 \
\hline
\end{array}$$

anonymous · Answer

k

anonymous · Answer

no, i should say it isn't

anonymous · Answer

$$\begin{array}{|c|c|c|c}
   large
 & small
 & length
 & cost \
\hline
 5& 0 &200  &3000  \
 4& 1 &185  &2700  \
3& 2 &170 &2400  \
4& 0&160 &2400 \
3& 3&195 &2700 \
2& 4& 180&2400 \
2& 3&155&2100 \
1& 6&190&2400 \
1& 5&165&2100 \
\hline
\end{array}$$

anonymous · Answer

only the zero large floats left
i will leave that up to you
this will answer the first part, and then look at the cost to figure out which ones will answer part B

anonymous · Answer

you might also want to check to see if i made any mistakes
have fun

stormoshawty · Answer

What about A?