A bakery sells cream pies and carrot cakes. Each cream pie requires 30 minutes preparation​ time, 30 minutes baking​ time, and 20 minutes for finishing. Each carrot cake requires 55 minutes preparation​ time, 55 minutes baking​ time, and 10 minutes for finishing.   ​(a) Write a matrix T representing the required time for​ preparation, baking, and finishing for the cream pies and carrot cakes. ​(b) The bakery receives an order for 20 cream pies and 7 carrot cakes. Find a matrix S so that TS gives the total​ preparation, baking, and finishing times required to fill this order. ​(c) What is the total baking​ time? What is the total finishing​ time?

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