Samano Industries has adopted the following production budget for the four quarters of $2024$:

Quarter $1$ Quarter $2$ Quarter $3$ Quarter $4$

Units $3,0004,0005,0008,000$

Each units requires $4$ kg of raw materials costing $$6$ per kilogram. On December $31,2023,$ the

ending inventory of raw materials was $3,000$ kg$.$ Management wants to have a raw materials

inventory at the beginning of each quarter equal to $25\%$ of the current quarter's production

requirements. The production budget for the first quarter of $2025$ will be $10,000$ units.

Hint $-$ make sure to keep track of Kg and units

Use the information provided to answer the following questions:

a$)$ What is the BEGINNING raw materials inventory in kilograms of material for each quarter?

b$)$ What is the ENDING raw materials inventory in kilograms of material for each quarter?

Prepare direct materials purchases budget for Quarter $2$ and answer the following questions:

c$)$ What are the total kilograms of raw material that are needed for production in Quarter $4?$

d$)$ What are the total kilograms of raw material that need to be purchased in Quarter $2?$

e$)$ What is the total cost of the raw materials purchased in Quarter $3?$ can you give me step by step solution in a text and explain the sum please and thank you