Shamrock Shades purchases sunglasses from bulk discounters and sells the sunglasses in mall kiosks throughout the Pacific Northwest. Shamrock is in the process of budgeting for the coming year and has projected sales of $$410,000$ for January, $$490,000$ for February, $$650,000$ for March, and $$690,000$ for April. Shamrock's desired ending inventory is $30$ percent of the following month's cost of goods sold. Cost of goods sold is expected to be $45$ percent of sales.

Required:

Compute the required purchases for each month of the first quarter.$($January through March$).$

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