PART FOUR $(20$ Points$)$ Show your work and label all numbers

Soster makes and sells buckles. Each buckle uses $\frac{1}{3}$ ounce of silver. Budgeted production of buckles in units for the next three months is as follows:

$\backslash$table$[[,$March,April,May$],[$Budgeted production,$15,000,18,000,21,000]]$

The company wants to maintain monthly ending inventories of silver equal to $20\%$ of the following month's budgeted production needs. Silver costs $$16$ per ounce. Soster pays $30\%$ of purchases in the month purchased, and $70\%$ in the next month. The beginning inventory of silver in March was the budgeted amount.

Required

a$)$ Prepare a direct materials purchases budget $($in ounces$)$ for March and April.

b$)$ Independent of your answer in Part a$),$ assume Soster purchased $4,000$ ounces of silver in March, and $4,500$ ounces of silver in April. Prepare a schedule determining the budgeted payments to silver suppliers in April.