Question

Assume that the company produces 100 pound sacks of 20-15-10 fertilizer for lawns, 100 pound sacks of 15-16-11 fertilizer for gardens, and 100 pound sacks of 8-6-7 fertilizer for trees, where the numbers are the percentage by weight of nitrate, phosphate, and potash, respectively, in each sack. Assume also that the company has on hand 10 tons of nitrate, 11 tons of phosphate, and 12 tons of potash, Assume also that the profit on each sack of lawn fertilizer is $11.00, the profit on each sack of garden fertilizer is $7.00, and the profit on each sack of tree fertilizer is $5.00. Finally, assume

Answer 1

Finally, assume the company has a contract to supply at least 1.5 tons of garden fertilizer

Answer 2

How do I find the equation for the supply contract (in pounds)?

Answer 3

this computer is slow so I will skip some steps
if you have any questions let me know

Answer 4

you have lawns , gardens and trees
nitrates, phosphates and potash
the totals for each group

Answer 5

The totals?

Answer 6

is potash short for potassium? lol.

Answer 7

no clue haha

Answer 8

Thats hilarious.

Answer 9

no its a mix

Answer 10

So, what exactly am I supposed to do?

Answer 11

the weight is by %

Answer 12

example for nitrate the % 20 for l + 15 for g+ 8 for trees =10 tons of nitrate

Answer 13

right

Answer 14

I have to enter the equation as __x+__y+__z \[\ge\] 3000

Answer 15

apparently, y is correct as 100, but I don't know about x and z

Answer 16

the profit for lawn = # sacks *11 = 11l
for garden = 7g
trees = 5t

Answer 17

total for garden fertilizer = 1.5 tons

Answer 18

So far, all I have is __x+100y+__z\[\ge\]3000

Answer 19

3000 is the 1.5 tons converted into pounds

Answer 20

you need to find for all
like setting up simultaneous equations and then solving

Answer 21

I don't understand. I just need to fill out that equation.

Answer 22

I've got part of it correct

Answer 23

I don't need to solve for anything. I just submitted the part of the equation that I have

Answer 24

what did you do for the part that is correct?
you have 3 groups lawn, garden and trees

Answer 25

I didn't do anything.

Answer 26

I just input 100 and the system said it was correct. I don't know why

Answer 27

but now I need to know what goes in front of x and z

Answer 28

because it produces 100 pound sacks of garden fertilizer?

Answer 29

same as the others

contract 100 pounds each

Answer 30

I did that

Answer 31

The system said it was incorrect, which is why I was hoping to find some help here

Answer 32

I have no idea what to do

Answer 33

so its 30 bags of garden fertilizer based on your conversion lbs and tons

Answer 34

for x? or y?

Answer 35

are you using 1.5 tons as the total pounds for the contract? if so I think that would be incorrect
1.5 tons is for garden fertilizer only

Answer 36

I thought that too, but the system says to use 1.5 tons (3000 pounds) as the contract's total

Answer 37

I got the answer!

Answer 38

ok
none the less the total for l + g + t with the # bags each group
do you have the total profit or any other info

Answer 39

0x and 0y
I can't believe I didn't realize that

Answer 40

I mean 0z

Answer 41

share

Answer 42

So, it's 0x+100y+0z\[\ge\]3000

Answer 43

is this a question with more to come or are they testing logic

all that info to say the company produces 100lb sacks of garden fertilizer among others and has a contract for garden fertilizer a minimum of 1.5 tons

Answer 44

I'm assuming it's testing logic. There aren't any more questions

Answer 45

happy you got it. sorry, I thought it would be a "real" problem