The process of making cocoa powder is actually a joint costing process. Specifically, the cocoa beans are processed to produce cocoa butter, cocoa powder, and waste.

Suppose that a company processes cocoa beans and has $$217$ of costs to purchase the beans and separate the beans into butter, powder, and waste. After separating the products, the company has $49$ pounds of cocoa butter, $37$ pounds of cocoa powder, and $18$ pounds of waste. At that point, the company pays $$116$ to process the butter, $$163$ to process the powder, and $$98$ to dispose of the waste. The butter then sells for $$548$ and the powder sells for $$442.$ The waste is not sold.

What is the total cost of the butter if the company allocates joint costs based on weight? Round your answer to the nearest whole dollar.