Clarence is thinking of creating a bakery specializing in gingerbread cookies. He has three options: a face to face bakery where customers can come in and customize their gingerbread, a kiosk where the gingerbread is already decorated but customers can choose the color and style of decoration or internet only, where cust)omers can specify which shape they want, but the decoration color and style cannot be requested. The cost of the face to face bakery would be $15,000 for the two months between Halloween and New Years, and has a 50% chance of generating $16000 in income and a 50% chance of generating $10000 in income. The kiosk would be $3000 per month for the two months, and has a 50% chance of generating $8000 in income, and a 50% chance of generating $5000 in income. The internet option would cost only $5000 for the two months, and has a 50% chance of generating an income of $10000 and a 50% chance of generating a $8000 income. Which one has the highest profit potential? Show your calculations.

Carmen's gingerbread houses have the following process times. Construct a critical path diagram to show the process and determine how long each house will take and identify the critical path and amount of slack on the other paths.

\table[[,Time,Predecessor],[A. Assemble ingredients,5min,-],[B. Bake gingerbread,30min,A],[C. Cool gingerbread,45min,B],[D. Make icing,10min,A],[E. Build house,30min,C, D],[F. Let house assembly cure,45min,E],[G. Assemble decorations,5min,-],[H. Decorate house,50min,D, F, G]]

Using the critical path diagram from the prior problem, what is the theoretical minimum number of stations required to meet a forecast demand of 150 units per month? Create a line balance chart for the process as well.

Carmen's fruitcakes must be baked, must be drowned in brandy and sit for four weeks before being drowned again in brandy a second time before it is sold. Each fruitcake requires a cup of brandy for each marination. If brandy comes in gallon jugs, what is the economic order quantity if Carmen sells 233 fruitcakes every 4 weeks? The gallons of brandy costs $400 each, and have a holding cost of 0.2% per 4 weeks for insurance against shrinkage. Setup costs are $30 per order. Answer in whole units and show your calculations.