An activity analysis at the Big Sky Pie bakery resulted in the following time estimates of its pie making staff: Adding Ingredients $=25$ percent of staff time; Mixing and Kneading Pie Dough $=40$ percent of staff time; Shaping Dough into Pans $=10$ percent of staff time; and Cleaning Up $=25$ percent of staff time. The total salary and benefits cost pool for pie making staff is $$600,000$ per year. The company is considering new equipment that would reduce the time required to mix and knead dough by $30$ percent.

a$.$ What is the bakery's potential savings per year if it acquires the new equipment?