You have been asked to provide a system for making fresh brownies for a church youth group fund-raiser. The Youth Council has asked you to plan the brownie project. Specifically, the Youth Council needs to know the cost per box of the brownies; the equipment needed; the number of people to schedule to help and the jobs that each of the volunteers will do; and how many dozen brownies can be made between 8:00 am and 3:00 pm Saturday morning. The list of volunteers, so far, has 12 people on it, and they all are familiar with making brownies and using the church kitchen. You know that there are some people on the list that would help if you asked them, but they would rather not if you have enough volunteers. Since some of the younger youth are available to carry raw materials, transfer pans, deliver brownies, etc., you are only concerned with the processes of mixing ingredients, transferring the ingredients to pans, cooking, cooling, cutting, and packing (1/2 dozen per box). The ovens will be preheated and bowls, spoons, etc. will be pre-positioned by 8:00. You estimate that one volunteer can mix & clean six bowls every hour. Each bowl can hold enough ingredients for 2 dozen brownies, and the church has 15 bowls. Transferring the dough from the bowls into the pans should take about 2 minute per pan, and each pan holds 10 brownies. The church has 6 pans. You have 2 ovens available, each will hold 2 pans, and two volunteers can operate both ovens and the associated cooling space. The brownies should take about 12 minutes to bake at 375F, and about 7 minutes to cool. You have enough counter space for 8 pans to cool at one time. Slicing each pan into individual brownies takes about 2 minutes. One Volunteer can package about 15 boxes per hour. The costs of the ingredients is estimated to be $0.06 per brownie; each box costs $0.20 Past experience has shown that the neighborhood community has a humongous sweet tooth, and will buy all of the brownies you can make, so your primary concern is to maximize the number of brownies you can make during the time available. You also know that the experienced volunteers are happy to help, but they need to be organized for the best output, and demand a 20min lunch break. As you think over this project during the week before "Brownie Day", you wonder about the different tasks to be performed, and how people should be assigned to the tasks. (2 pts) What does a finished box of cookies cost? b. (7 pts) Draw the production flow chart and a Gantt chart for this brownie baking operation. Determine Throughput Time for one batch and the steady state Cycle Time. (7 pts) What is the minimum number of people you need without decreasing your total output capacity given by the oven bottleneck in the 6 pan scenario? What is the utilization for each employee? d. (7 pts) How many brownie boxes may be made between 8:00 am and 3:00 pm if only the available equipment is used? (7 pts) If you could add any equipment (except more ovens), what would you add? How would any additions affect the number of brownies produced? Will that require additional volunteers