Problems Problem 1 Friday evening The following data recaps the number of portions of each menu item sold on for the past five weeks duction and Serving Controls 301 Week 1 Week 2 Week 3 Week 4 Week 5 Last Friday 71 60 Chicken 55 59 90 60 43 Pork Chops 57 61 81 90 71 Prime Rib 51 59 107 82 63 Lobster 75 80 91 79 40 Veal Cutlet 68 79 90 382 277 306 338 459 a. What is the percentage of total items sold for each menu item averaged over the past five Fridays? b. The manager notes that sales on the second Friday were lower than normal because of a weather problem. Sales on the last Friday were higher than normal because of an in-town sporting event. He believes the number of menu items to be sold this Friday will be about "average"; that is, they will exclude the one lower- than-normal Friday and one higher-than-normal Friday 1. What is the total number of entres expected to be served this Friday? 2. Assume that the manager believes sales of each entre this Friday will approximate those on the three "average" Fridays over the past three weeks; what is the expected sales of each entre? 3. The manager is introducing entertainment during the dinner shift. This is expected to generate 20 additional sales of each menu item each Friday evening. Assuming that these additional guests select entres in the same proportion as those over the last three "average" Fridays, what is the expected number of entres to be sold