The Maker of the World-Famous Chocolate Chip Cookies Needs to Design

The maker of the world-famous Chocolate Chip Cookies needs to design a product layout for a new product, Mint Chocolate Chip. The company plans to use this new production line eight hours a day in order to meet projected demand of 1,440 cases per day. The following table describes the tasks involved in the production of a Mint Chocolate Chip Cookie. $$\begin{array} { l l l } \text { Task } & \text { Time } ( \text { secs } ) & \text { Immediate Predecessor } \\\hline \mathrm { u } & 4 & \text { none } \\\mathrm { v } & 14 & \mathrm { u } \\\mathrm { w } & 12 & \mathrm {~V} \\\mathrm { x } & 12 & \mathrm {~V} \\\mathrm { y } & 6 & \mathrm { w } \\\mathrm { z } & 8 & \mathrm { x } , \mathrm { y }\end{array}$$ Without considering projected demands, what is the minimum possible cycle time for this production line?

A) 54 seconds
B) 14 seconds
C) 12 seconds
D) 10 seconds
E) 4 seconds