Question $11(8\mathrm{.}333333333$ points$)$

Beeswax Candle Company manufactures natural beeswax candles to be used in churches. Their standard $24"2"$ diameter candle is demanded at a rate of $520$ candles per month. It costs $$1000$ to set up the molds to craft this particular model; once the molds are set up$,$ they will continue to make candles until the batch is completed. Each candle sells for $$500$; the holding cost per candle per year is $10\%$ of that selling price. Once the batch is completed, the company will go on to make other models of candle until such time as they run out and need to make another batch. Once production starts, the company can make candles at a rate of $680$ candles per month.

How much time, in months, will occur between batches being made? Please use at least three significant figures in your calculations. $-$

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