Tahoe Tent Ltd$.$ issued bonds with a par value of $$811,000$ on January $1,2023.$ The annual contract rate on the bonds was $17\mathrm{.}50\%,$ and the interest is paid semiannually. The bonds mature after three years. The annual market interest rate at the date of issuance was $15\mathrm{.}50\%,$ and the bonds were sold for $$848,778.$

a$.$ What is the amount of the original premium on these bonds? $($Use financial calculator for calculating PV$\text{'}$s$.$ Round the final answer to the nearest whole dollar.$)$

b$.$ How much total bond interest expense will be recognized over the life of these bonds? $($Do not round intermediate calculations. Round the final answer to the nearest whole dollar.$)$

c$.$ Present an amortization table for these bonds; use the effective interest method of allocating the interest and amortizing the premium. $($Do not round intermediate calculations. Round the final answers to the nearest whole dollar. Enter all the amounts as positive values.$)$