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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3157 to rent trucks plus an additional fee of $50.25 for each ton of sugar. The second company does not charge to rent trucks but charges $275.75 for each ton of sugar.

For what amount of sugar do the two companies charge the same?

What is the cost when the two companies charge the same?

Respuesta :

Let x = the amount of sugar transported.

First company:
The cost is $3157 truck rental plus $50.25 per ton of sugar.
Total cost = 3157 + 50.25x dollars

Second company:
There is no charge for truck rental, but it costs $275.75 per ton of sugar.
The total cost is
275.75x

When the two costs are the same, then
275.75x = 3157 +50.25x
225.5x = 3157
x = 14 tons
The total cost is 275.75*14 = $3,860.50

Answer:
14 tons
$3,860.50

francocanacari

Both companies will charge the same $3,860.50 for 14 tons of sugar.

Calculus

Given that The Sugar Sweet Company will choose from two companies to transport its sugar to market, and the first company charges $3157 to rent trucks plus an additional fee of $50.25 for each ton of sugar, while the second company does not charge to rent trucks but charges $275.75 for each ton of sugar, to determine for what amount of sugar do the two companies charge the same, and what is the cost when the two companies charge the same, the following calculation must be made:

Company 1 =

  • 3157 + 50.25 x 10 = 3157 + 502.5 = 3659.50
  • 3157 + 50.25 x 20 = 3157 + 1005 = 4162
  • 3157 + 50.25 x 15 = 3157 + 753.75 = 3910.75
  • 3157 + 50.25 x 14 = 3157 + 703.50 = 3860.50

Company 2 =

  • 275.75 x 10 = 2757.50
  • 275.75 x 20 = 5515
  • 275.75 x 15 = 4136.25
  • 275.75 x 14 = 3860.50

Therefore, both companies will charge the same $3,860.50 for 14 tons of sugar.

Learn more about calculus in https://brainly.com/question/2811530

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