UCW Manufacturing Company makes specialty tools. In July $2023,$ UCW incurred manufacturing costs of $$3,000,000$ for direct materials, direct labour, and overhead. $30\%$ of the total costs represents overhead applied. The overhead rate is $$1$ for every $$0\mathrm{.}50$ of direct labour costs incurred. Inventory balances were:July $1$July $31$Raw materials$$120,000$$ $100,00095,000$Work in process Finished goods$150,000180,000$Instructionsa$)$ Determine the cost of raw materials purchased in July.b$)$ Prepare a cost of goods manufactured schedule for July $2023.$