Inventory financing Raymond Manufacturing faces a liquidity crisislong dashit needs a loan of $99 comma 000 for 1 month. Having no source of additional unsecured borrowing, the firm must find a secured short-term lender. The firm's accounts receivable are quite low, but its inventory is considered liquid and reasonably good collateral. The book value of the inventory is $297 comma 000, of which $118 comma 800 is finished goods.(Note: Assume a 365-day year.) (1) City-Wide Bank will make a $99 comma 000 trust receipt loan against the finished goods inventory. The annual interest rate on the loan is 11.4% on the outstanding loan balance plus a 0.17% administration fee levied against the $ 99 comma 000 initial loan amount. Because it will be liquidated as inventory is sold, the average amount owed over the month is expected to be $ 73 comma 669. (2) Sun State Bank will lend $99 comma 000 against a floating lien on the book value of inventory for the 1-month period at an annual interest rate of 13.3%. (3) Citizens' Bank and Trust will lend $99 comma 000 against a warehouse receipt on the finished goods inventory and charge 15.4 % annual interest on the outstanding loan balance. A 0.55% warehousing fee will be levied against the average amount borrowed. Because the loan will be liquidated as inventory is sold, the average loan balance is expected to be $ 59 comma 400. a.Calculate the dollar cost of each of the proposed plans for obtaining an initial loan amount of $99 comma 000. b.Which plan do you recommend? Why? c.If the firm had made a purchase of $99 comma 000 for which it had been given terms of 2/5 net 20, would it increase the firm's profitability to give up the discount and not borrow as recommended in part b? Why or why not?