Jack Watson builds custom golf clubs which he sells to pros and serious amateurs. As each club is specially built for each customer and hand machined, it cost $$142$ in time and material for each club and Jack is limited to building $160$ clubs per year. The demand equation for custom golf clubs is: Q $=4,061,158$P$1\mathrm{.}6.$ At what price should Jack sell a custom golf club in order to maximize his profit?