A production process for flower vases consists of three tasks to be completed in sequence: first, Shape $($by a specialized machine$),$ second, Bake $($in a single oven$),$ and third, Paint $($by a worker$).$ The times taken for one vase at each step are $5$ minutes for Shape, $8$ minutes for Bake, and $6$ minutes for Paint. There are $8$ working hours in each day.

Assume that there is one resource at each step. Indicate, showing your calculations, what is the daily capacity of each activity $($i$.$e$.,$ shape, bake, and paint$)$ in units$/$vases per day? $(30$ points$)$