The small restaurant where you work offers soft drinks from two competing bottling companiesthe Big Soda Company and the Other Soda Company. Both bottling companies demand that your boss sign a contract stating that the restaurant will sell soft drinks from only their company. Soon your boss will have to choose which companys products to sell. Your boss has asked you to use your knowledge of matrices to find the total cost of carrying each product line. Each bottling company carries cola, root beer, and lemon-lime soda. The unit cost for each tank of these drinks and the quantity sold each month is as follows: Unit Cost From the Big Soda Company (BSC), it costs $8.70 per tank for cola, $8.20 per tank for root beer, and $7.80 per tank for lemon-lime. From the Other Soda Company (OSC), it costs $9.00 per tank for cola, $8.50 per tank for root beer, and $6.90 per tank for lemon-lime. Unit Quantity Every month the restaurant goes through 10 tanks of cola (both brands combined), 4 tanks of root beer, and 12 tanks of lemon lime. Your boss has asked you to analyze the data and help choose which company to use as the exclusive soft-drink distributor for the restaurant. Use matrix operations to perform the following: a. Create matrices that model the situation. Name each matrix by its dimensions. As you structure your matrices, keep in mind that you will need to multiply them later. b. Multiply your unit cost matrix and your unit quantity matrix together to find a total monthly soda cost from each supplier. c. Which supplier would you recommend to your boss? d. What operations would you need to perform on your matrices to estimate a total monthly soda cost for three restaurants (assume all three restaurants sell an identical amount of soda)?