First introduced in Los Angeles, the concept of Korean-style tacos sold from a catering truck has been gaining popularity nationally (The New York Times, July 27, 2010). This taco is an interesting mix of corn tortillas with Korean-style beef, garnished with onion, cilantro, and a hash of chili-soy-dressed lettuce. Suppose one such taco truck operates in the Detroit area. The owners have estimated that the daily consumption of beef is normally distributed with a mean of 24 pounds and a standard deviation of 6 pounds. While purchasing too much beef results in wastage, purchasing too little can disappoint customers.




Required:



a. Determine the amount of beef the owners should buy so that it meets demand on 80% of the days. (Round "z" value and final answer to 2 decimal places. )



b. How much should the owners buy if they want to meet demand on 95% of the days?