In May $2027,$ the budget committee of Crane Stores assembles the following data in preparation of budgeted merchandise purchases for the month of June.

Expected sales: June $$530,000,$ July $$636,000.$

Cost of goods sold is expected to be $75\%$ of sales.

Desired ending merchandise inventory is $30\%$ of the following $($next$)$ month's cost of goods sold.

The beginning inventory at June $1$ will be the desired amount.

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$($b$)$

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