The local supermarket buys lettuce each day to ensure really fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $8.00 a box. The lettuce is sold for $16.00 a box and the dealer that sells old lettuce is willing to pay $1.80 a box. Past history says that tomorrow's demand for lettuce averages 245 boxes with a standard deviation of 38 boxes.
How many boxes of lettuce should the supermarket purchase tomorrow? (Use Excel's NORMSINV () function to find the correct critical value for the given α-level. Do not round intermediate calculations. Round your answer to the nearest whole number.)