Section 1: Problems (30 points) 1. Sol cookie company produces cookies and following are the different stages in their cookie making and selling process. The company has five resources or workers (one Mixer, one Baker, one Cooler, one Packer, and one Payment Processor) performing the activities as shown in the diagram below and cach of them can perform only their respective activity. Wash, Mix, Spoon Bake (Including Loading) Cool Pack Accept Payment - The orders compiled for the next week are as follows: 1) Choco-chips cookie - 15 boxes 2) Raisin-dates cookie - 22 boxes 3) Almond cookie - 15 boxes The following table provides the details about the price and costs pertaining to different types of cookies: Cookie Type Selling Price / box Material costs / box Choco-chips cookie $ 100 $ 60 Raisin-dates cookie $ 150 $ 80 Almond cookie $ 160 $ 90 Time taken for all the three types of cookies are given below in mins / box: Bake Cool Pack Cookle Type Choco-chips cookie Raisin-dates cookie Almond cookie Wash, Mix, Spoon 40 50 40 40 50 60 20 20 20 10 10 10 Accept Payment 5 5 5 a The fixed operating expenses for a week (eight-hour day and five days a week) is $2000. A. Is there a bottleneck (constraint)? If so, which resource is a bottleneck (constraint)? (3 points) B. Determine the product mix (type of cookie and how many boxes for each type) that would maximize the profit. (5 points) C. Calculate the profit. (2 points) 2. Each of the processes listed below is non-centered with respect to the specifications for that process. Compute the process capability index for cach and decide if the process is capable. (5 points)