On August $1,2025,$ Hayes Corporation purchased a new machine on a deferred payment basis. A down payment of $$18,000$ was made and $4$ annual installments of $$15,000$ each are to be made beginning on August $1,2026.$ Hayes$$ cost of capital is $7\%($i$.$e$.,$ market interest rate for Hayes as a borrower$).$ Also, Hayes incurred and paid installation costs amounting to $$3,000$ on August $1,2025.$ What is the cost of the machine? $($Choose the best answer$)$