The following scenario represents two decision making challenges for a small business. You are required to analyze the information provided and make recommendations based on numeric analyses you conduct. Please not:

Your recommendations are based on the information provided so NO ASSUMPTION IS REQUIRED OR ACCEPTED.

In offering your solution, you must show how you arrive at your decision so YOU MUST SHOW ALL YOUR WORK $($what method you used, where you get the numbers from and why you are using them$).$

Giving answers without showing how your arrived at them would not receive any credit.

Question $29(30$ points$)$

Listen

Four Fanshawe Culinary and Hospitality graduates $($Mary$.$ Nancy, Sandra and Julie$)$ have formed a bakery business a couple of years ago and their business has gained considerable local success. Aside from other regular orders that are completed and ready for delivery, this week they have five very special wedding orders from five well$-$known families in the order and details shown in the following table:

Concerned about their cooling system not working properly, the four partners argue about how these orders should be handled. Mary insists that the orders should be handled in the same order they have been received. Nancy argues that they should handle the orders that can be done faster first and then move to ones that take longer to be completed. Sandra insists they should finish orders that are due earlier. Listening to her partners$$ arguments, Julie who is mature and experienced with business operations invited them to calm down and said: $$since we have other finished orders in the kitchen, we have room for limited number of jobs on the go$.$ Wedding cakes are delicate and we need to have the space to do the ordered details. So I suggest we look at the average number of wedding jobs in the kitchen to decide whose suggestion would generate the best flow in the kitchen.$$ The other partners agreed because they believed Julie speaks with operation experience. Julie is also very adamant about timely delivery of cakes to the customers so she uses different courier companies to deliver the completed orders. The courier companies work in parallel and each of them has$$a$80\%$reliabile or delivering the basket the on time.

a$-$Whose suggestion $($Mary$$s$.$ Nancy$$s or Sandra$$s$)$ do you pick and why? $[15$ marks$]$

b$-$ How many courier companies, each carrying an identical set of orders, must Helen use in order for her to have $99\%$ confidence that the orders reach her customers on$$time$?[15$marks$)$well$-$known families in the order and details shown in the following$$table:Wedding Orders

Adamson

Brown

Coloney

Dawson

Edwards

ition Time $($in Hours$)$

$20$

$10$

$50$

$15$

$55$

y Time $($in Hours$)$

$50$

$35$

$90$

$35$

$75$