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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $5500 to rent trucks plus an
additional fee of $175.50 for each ton of sugar. The second company charges $4995 to rent trucks plus an additional fee of $200.75 for each ton of sugar.

Sagot :

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.

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