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A chain of coffee shops is experiencing financial pressures due to increased competition for its numerous urban coffee shops. Total sales revenue has dropped by 15% and the company wishes to establish a sales monitoring process to identify the shops that are underperforming. Historically the daily mean sales for a shop has been $11,000 with a variance of 1,000,000. Their monitoring plan will take a random sample of 6 days sales per month and use the sample mean sales to identify shops that are underperforming. Establish the lower limit sales such that only 5% of the shops would have a sample sales mean below this value. The lower limit would be $ . (Round to two decimal places as needed.)