The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges
$
4696
to rent trucks plus an additional fee of
$
225.50
for each ton of sugar. The second company charges
$
5500
to rent trucks plus an additional fee of
$
175.25
for each ton of sugar.
What is your question?
To compare the costs of the two companies, we need to calculate the total cost for each company based on the given information.
Company 1:
- Renting trucks cost: $4696
- Additional fee per ton of sugar: $225.50
Company 2:
- Renting trucks cost: $5500
- Additional fee per ton of sugar: $175.25
Let's assume the amount of sugar to be transported is X tons.
For Company 1, the total cost can be calculated as:
Total Cost = Renting Trucks Cost + (Additional Fee per Ton * Amount of Sugar)
= $4696 + ($225.50 * X)
For Company 2, the total cost can be calculated as:
Total Cost = Renting Trucks Cost + (Additional Fee per Ton * Amount of Sugar)
= $5500 + ($175.25 * X)
Now, if you have a specific amount of sugar (X tons), you can substitute it into the equations to find the total cost for each company. If you don't have a specific value for X, you can compare the two equations as is.
For example, let's say we have 10 tons of sugar. We can calculate the total costs for each company as follows:
For Company 1:
Total Cost = $4696 + ($225.50 * 10) = $6946
For Company 2:
Total Cost = $5500 + ($175.25 * 10) = $7252.50
Therefore, for 10 tons of sugar, Company 1 would be the cheaper option.
You can follow the same calculations for any other value of X to determine which company is the more cost-effective choice.