Part $1$

Chambers Corp., a multinational, commonly faces large price changes. In $2024,$ the company sold $204,000$ units of PN$4$I at $$50$ per unit. Variable production costs were $$24$ per unit $($ $$5$ labor, $$10$ materials, and $$9$ overhead$),$ and fixed costs amounted to $$4,000,000.$ For $2025$ product managers expect labor costs to rise by $8\%$ and materials costs to rise by $12\%$ per per unit. Fixed costs are projected to rise by $10\%.$

Round all per unit calculations to the nearest $$0\mathrm{.}001.$ Compute the current contribution margin per unit.