Question

The Sugar Sweet Company is going to transport its sugar to market. It will cost $4500 to rent trucks, and it will cost an additional $150 for each ton of sugartransported.Let Crepresent the total cost (In dollars), and let S represent the amount of sugar (in tons) transported. Write an gauation relating to S. Then use thisequation to find the total cost to transport 17 tons of sugar.Equation:음X?Total cost to transport 17 tons of sugar: s]

Answer 1

According to the question, C is the total cost, and S is the amount of sugar transported.

Consider that the total cost is composed of two costs, first to rent the truck and the other is the overhead cost for the sugar transportation.

The rent of the truck is independent of the amount of sugar, so it is the fixed cost.

And the total variable cost (TV) is calculated by the product of variable cost rate by the total amount of sugar (x) as follows,

`\begin{gathered} TV=150* x \\ TV=150x \end{gathered}`

Now the total cost C is given as,

`\begin{gathered} \text{Total Cost}=\text{ Fixed Cost}+\text{ Variable Cost} \\ C=4500+150x \end{gathered}`

This is the required equation to find the total cost corresponding to 'x' tons of sugar transportation.

The total cost for 17 tons of sugar is calculated as,

`\begin{gathered} C=4500+150(17) \\ C=4500+2550 \\ C=7050 \end{gathered}`

Thus, the total cost to transport 17 tons of sugar is $7050.