Consider the demand for Fresh Detergent in a future sales period when Enterprise Industries' price for Fresh will bex₁= 3.70, the average price of competitors' similar detergents will bex₂= 3.90, and Enterprise Industries' advertising expenditure for Fresh will bex₃= 6.50. 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 DemandLower 95% Indiv DemandUpper 95%

31 8.4106503477 8.3143172822 8.5069834132 0.2393033103. 7.9187553487 8.9025453468

(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 ($3.70), we can be very confident that the resulting dollar amount will be the minimal revenue from Fresh in the future sales period. What is this dollar amount?(Round 95% PIto 4 decimal places,Lower dollar amountand Level of inventory needed to the nearest whole number.)

(b)Calculate a 99 percent prediction interval for the demand for Fresh in the future sales period. Use the fact that StdErr Indiv Demand equalss(1 + distance value)^.5.(Round youranswers to 4 decimal places.)