A construction firm is evaluating the comprehensive hourly operating costs for one of

its heavy machinery units, specifically focusing on the tire$-$related expenses. The machine

operates with a set of four tires, each set being expected to endure an operational lifespan

of $3,500$ hours before necessitating replacement. The procurement cost for each set is

$$45,000.$ Over the course of their usage, repair and maintenance expenditures are

projected to average $20\%$ of the tires' straight$-$line depreciation value.

The machine is scheduled to operate for $2,800$ hours annually throughout its expected

useful life of $6$ years. In determining the financial outlay for these tire$-$related costs, it is

crucial to consider the firm's cost of capital, which is set at $8\%,$ and to factor this into the

calculation of the equivalent annual cost associated with tire depreciation and repair.

Given these conditions, calculate the hourly tire cost that should be integrated into the

machine$$s operating expenses.