The engineering staff at the Sun Shipping Company has informed decision$-$makers that substantial money can be saved on the fleet's fuel bills if the ships' engines are adapted. Based on the cost of fuel, the engineers estimate that the firm will save $$50,000$ each year for the first $5$ years and save $$70,000$ per year for the following five years. If these estimates are accurate, what would the company be willing to pay to adapt the engines? The company can earn $8\%$ annually on its investments.