SOLUTION: This is a word problem involving linear programming. The problem is:You have 180 tomatoes and 15 onions left over from your garden. you want to use these to make jars of tomato s

Question 110735This question is from textbook alegebra2
: This is a word problem involving linear programming. The problem is:You have 180 tomatoes and 15 onions left over from your garden. you want to use these to make jars of tomato sauce and jars of salsa to sell at a farmstand. a jar of tomato sauce requires 10 tomatoes and 1 onion. a jar of salsa requires 5 tomatoes and 1/4 onion. you'll make a profit of $2 on ever jar of tomato sauce sold and a profit of $1.50 on every jar of salsa sold. the farm stand wants at least three time as many jars of tomato sauce as many jars of salsa. how many jars of each should you make to maximize the profit?
I tried the problem but the part about three times as many jars of tomato sauce threw me off.I was able to come up with the objective function of
P=2t+1.50s
with constraints:
t=>0
s=>0
10t+5s<=180
1t+1/4s<=15
I graphed it and found the feasible region but i dont think its right becuase i don't know what to do with the 3 times as many tomato sauce as salsa. I dont know how to include this. I dont know if it is added as an inequality or divide or part of the objective function. i need help please?
This question is from textbook alegebra2

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
i don't know what to do with the 3 times as many tomato sauce as salsa.
------------------
t = 3s
Graph t-3s=0
==================
Cheers,
Stan H.

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