Simon recently received a credit card with 18% nominal interest rate. With the card, he purchased a new 42 flat-screen LCD TV and a Blue-Ray DVD player for $1,196.63. The minimum payment on the card is only $28 per month.

(a) If Simon makes the $28 minimum monthly payment and make no other charges, how many month will it be before he pays off the card? Round your answer to the nearest month.

(b) If Simon makes monthly payments of $64 (rather than $28) and make no other charges, how many month will it be before he pays off the card? Round your answer to the nearest month.

(c) In total, how much more will Simon pay under the $28-a-month plan than $64-a-month plan?