It's time to lock down the design details for the redesigned Brick and Egyptian candles.

1. It's time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Reasoning does not have to be all math related. 
2. You're instructed to prepare for a promotional candle sale you will use to test the popularity of the two redesigned candles. Wicks, labor, and other costs add about $1.60 to the cost of each candle. Suggest a retail price for each candle that will cover costs and allow for some profit. Explain how you determined these prices. Your reasoning does not have to be all math related, but it should include specific values derived from your calculations.
3. You ask the production team to make some candles for the sale. The team is not sure how many they can produce in your short time frame, so they ask for an acceptable range for how many of each candle they should make. Use your costs and recommended retail prices to make linear programming model to show the BeeSwaks executives possible profits for selling certain numbers of each type of candle during this promotion. Decide on the constraints for the numbers of candles made for the sale and explain your reasoning for these constraints. Graph the feasible region and find maximum and minimum profits.

Thank you so much in advance!