You are finalizing your notes and graphs for your meeting with the executives of BeeSwaks. You must be prepared to make a recommendation for the base dimensions, suggest retail prices, and discuss possible profits from a preliminary candle sale that you set up for a marketing campaign.

In case you need the equation for the Brick candle it is x³-x² and the the equation for the Egyptian candle is 7x² and the wax cost is the same per cubic cm of volume

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 centimeters, but it can be no more than 10 centimeters. Make a recommendation for the base dimensions of each candle. Tell how you determined your base dimensions. Your 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 each candle.

Suggest a retail price for each candle that will cover costs and allow for some profit. Tell how you determined these prices. Your reasoning does not have to be all math related, but 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 design a linear programming model to show the 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.