Emarpy Appliance is a company that produces all kinds of major appliances. Bud$$ Banis, the president of$$ Emarpy, is concerned about the production policy for the$$ company's best$-$selling refrigerator. The annual demand for this has been about $7,250$ units each$$ year, and this demand has been constant throughout the year. The production capacity is $210$ units per day. Each time production$$ starts, it costs the company $$$$120$ to move materials into$$ place, reset the assembly$$ line, and clean the equipment. The holding cost of a refrigerator is $$$$49$ per year. The current production plan calls for $420$ refrigerators to be produced in each production run. Assume there are $250$ working days per year.

$$a$)$ What is the daily demand of this$$ product? $29$ units

$$b$)$ If the company were to continue to produce $420$ units each time production$$ starts, how many days would production$$ continue? $($enter your response as a whole$$ number$).$