posted by Aranxta on .
sauce 1: 5 green peppers + 4 hot peppers
sauce 2: 4 green peppers + 8 hot peppers
I have 1050 green peppers and 1200 hot peppers
Profit sauce 1 :$1.20
Profit sauce 2: $ 1.00
I made a system of inequalities:
5x +4y > 1
4x +8y > 1
I calculated I can make :
210 pints of sauce 1 with left over 360 hot peppers or
150 pints of sauce 2 with left over 450 green peppers
How much of each sauce should I make to max profit and what is the max profit?
If I make only sauce 1 my profit will be $ 252
if I only make sauce 2 my profit will be only $150
But I am confused about how calculate to graph this information so it shows my total profit
looks like you haven't thought out just what your variables represent.
In the first two equations, it appears that x is the number of batches of sauce 1, y is the number of batches of sauce 2, so 5x+4y is the number of green peppers required, and 4x+8y is the number of red peppers required.
In the 2nd set of conditions, x and y appear to be the number of peppers.
So, what you need is (with x,y the number of pints of sauce):
x >= 1
y >= 1
5x+4y <= 1050
4x+8y <= 1200
Now, to maximize profit, you want to maximize
p = 1.20x + 1.00y
subject to the above conditions. Using your favorite linear optimization calculator, you will find that
max p = $255.00 at
thank you :) You explained it so easy!