the sugar-sweet company will choose from two companies to transport its sugar to the market.

Question

the first company charges $5495 to rent trucks plus an additialfee of $200.75 for each ton of sugar. The second company charged $7500 to rent trucks plus an additional fee of $100.50for ech ton of sugar. For what mount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?

Answer 1

5495 + 200.75x = 7500 + 100.50x

100.25x = 2005

x=20 <- the amount of sugar at the equilibrium point.

7500 + 100.50(20)

7500 + 2005

$9505 <- the cost at that point. ■