You never finished the question for what you were looking for, but i’m assuming it was asking what company would be a better deal.
If the weight of sugar exceeds 20 tons, then the first company is a better deal.
If the weight of the sugar is below 20 tons, then the second company is a better deal
If the weight of the sugar is 20 tons exactly then both companies are the same deal
The equation for these two companies are:
g(x) =5500+175.50x
f(x)= 4995+200.75x
in order to find the point where the cost is even you want to subtract g(x) by f(x)
(5500+175.50x) - (4995+200.75x)
Now the new equation you have is
0=505-25.25x
Move the x and that is 25.25x= 505
divide both sides and you get
X= 20
At 20 tons of sugar, the cost for both companies are equal.
If you have greater then 20 tons(for example 21) you plug in that into each equation
5500+175.50(21) = 9185.5
4995 +200.75(21) = 9210.75
So for greater then 20 It is clear the first company is a better deal
But if you have less then 20 tons(for example 19) also plug it in each equation
5500+175.50(19)= 8834.5
4995+200.75(19)= 8809.25
But for less then 20 tons it is clear company 2 is the better deal.
