Beckett Manufacturing produces self$-$watering planters for use in upscale retail establishments. Sales projections for the first five months of the upcoming year show the estimated unit sales of the planters each month to be as follows:

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Inventory at the start of the year was $350$ planters. The desired inventory of planters at the end of each month should be equal to $10\%$ of the following month's budgeted sales. Each planter requires two pounds of polypropylene $($a type of plastic$).$ The company wants to have $20\%$ of the polypropylene required for next month's production on hand at the end of each month. The polypropylene costs $$0\mathrm{.}25$ per pound.

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