At a certain supplier, a machine of type A costs $30,000 and a machine of type B costs $70,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?  Choose the correct choice from the following options
A) $10,000 B) $11,200 C) $12,000 D) $12,800 E) $13,200
Total Cost of 2 Machines of Type A   = 20% of (Cost of 2 machine A) + remainder + 40 % remainder   = 20% of 30000 + (30000 - 20% of 30000) + 40% of (40000 - 20% of 30000)   = 79200   Total Cost of 1 Machine of Type B   = 20% of (Cost of 1 machine B) + remainder + 40 % remainder   = 20% of 70000 + (70000 - 20% of 70000) + 40% of (50000 - 20% of 70000)   = 92400   Diff = 92400 - 79200= 
<gadget id="calculator">92400 - 79200</gadget>
<output>13_200</output>
13200   Hence, $13,200.
<result>E</result>
At a certain supplier, a machine of type A costs $30,000 and a machine of type B costs $70,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?