Consider the demand for Fresh Detergent in a future sales period when Enterprise Industries' price for Fresh will bex₁= 3.90, the average price of competitors' similar detergents will bex₂= 4.28, and Enterprise Industries' advertising expenditure for Fresh will bex₃= .00. A 95 percent prediction interval for this demand is given on the following JMP output:

	Predicted Demand	Lower 95% Mean Demand	Upper 95% Mean Demand		StdErr Indiv Demand	Lower 95% Indiv Demand	Upper 95% Indiv Demand
31	8.7173346753	7.9350414521	9.4996278984		.3805799170	7.0509714672	10.3836978830

(a)Find and report the 95 percent prediction interval on the output. If Enterprise Industries plans to have in inventory the number of bottles implied by the upper limit of this interval, it can be very confident that it will have enough bottles to meet demand for Fresh in the future sales period. How many bottles is this? If we multiply the number of bottles implied by the lower limit of the prediction interval by the price of Fresh ($3.90), we can be very confident that the resulting dollar amount will be the minimum revenue from Fresh in the future sales period. What is this dollar amount?(Round 95% PIto 5 decimal places anddollar amount to 1 decimal place andLevel of inventory needed to thenearest whole number.)

(b)Calculate a 99 percent prediction interval for the demand for Fresh in the future sales period. Hint:n= 30 ands= 0.716. The distance value equals Leverage (you can reverse engineer the values in the output above to calculate this).(Round youranswers to 5 decimal places.)