To solve this problem, we need to follow a sequence of steps. First, let's establish how many dough balls (cookies) Sophie needs to bake. Since each batch requires 1 dough ball and she needs to make 28 batches, she needs 28 dough balls.
The next step is to figure out how many rows of dough balls she can make. If she wants to keep the size consistent and each row contains as much dough as a cup, we need to arrange the dough balls into rows, each equivalent to a cup of dough.
From the 14 cups of dough, she can make 14 rows, but since she only needs 28 dough balls, not all rows will be full. Dividing the total number of dough balls (28) by the cups of dough (14), we find out that she needs 2 balls in each row.
So, to answer your question, Sophie can use all her dough cups to form balls for cookies arranged into 14 rows with 2 balls each. Thus the total number of balls she will make is 28, and the total number of rows needed is 2.