Question

Could someone help me with a project that I've been working on? I'm having a lot of trouble.

Answer 1

so far I have
x=red sauce
y=scorchin sauce

1.5x+4y<=1050 (x=210)
4x+8x<=1200 (x=300)
5x+4y<=1050 (y=300)
4x+8y<=1200 (y=131.25)

Answer 2

hmmmm... ummm... i'll try
so:
a = peppers
b = chillis

x = red sause
y = scorchin

x = 5a + 4b
y = 4a + 8b

Answer 3

I'm confused once again :/

Answer 4

y max = 1200/8 = 150
at 150y = 150*4a + 150*8b
= 600a used and 1200b used

x max = 1050/5 = 210
at 210x = 210*5a + 210 *4b
= 1050a + 840b

Answer 5

does that make sense so far ? @veeveeniko

Answer 6

i think so, i am still a bit unsure but it makes more sense than before.

Answer 7

so with each of those examples (x max and y max) we can only make those amounts of each, and we have left overs of the other type of pepper
so what ratio will allow us to use all of the ingredients we have, with no leftovers, and therefore maximum sauce?

Answer 8

I'm sorry I am unable to find the ratio, can you explain the process on finding it? It's hard since I don't have a teacher since i'm home schooled

Answer 9

all good, np hey
the ingredients are the limiting factor, so
1050 green : 1200 red
=7:8 ratio of a to b
so our equation needs to be
___x + ___ y = 7a + 8b or some similar ratio... eg 14a + 16b...21a + 24b ...etc
so find the lowest multiples of x and y that will yeild the 7 to 8 ratio of total ingredients

Answer 10

9.57143 x+13.1429 y = roughly a 7: 8 ratio ... i think

Answer 11

but how did you get that? I apologize again for my incompetence

Answer 12

with difficulty and simultaneous equations

Answer 13

battery baout to die, ill be back if i drop out

Answer 14

Ahh sorry for making you help me, i'm really grateful though.

Answer 15

___x + ___ y = 7a + 8b
and
x = 5a + 4b
y = 4a + 8b
so
x(5a + 4b)+ y(4a + 8b) = a (5 x+4 y)+b (4 x+8 y)
and
a (5 x+4 y)+b (4 x+8 y) =

Answer 16

sorry, laptop battery died and i couldnt find the cord last night