Fifth national bank offers four different certificates of deposit (cd). the first cd (a) offers a 4% interest rate for amount greater than $10,000. the second cd (b) offers a 4.2% interest rate for amount greater than $25,000. the third cd (c) offers a 4.5% interest rate for amount greater than $30,000. finally, the fourth cd (d) offers a 5% interest rate for amount greater than $35,000. a customer has $150,000 to deposit. she wishes to deposit not more than 1/3 of her money in any of the cds. she likes to deposit exactly three times of her money in cd#2 than cd#1. she wishes the sum of the first and the second cds to be less than or equal to the third cd. you are lowering all amounts by a factor or scale of 1,000.