A company's production process has an $80$ percent leaming curve rate. The process has produced $1,000$ units to date. A process refinement is estimated to allow a future learning curve rate for the identical product of $75$ percent. However, the initial unit made using the new process will take the same amount of time as the initial unit produc using the old process. At what point, using the new process, will the production rate exceed the production rate achieved by the old process?

Before the ${50}^{th}$ unit

Before the ${80}^{th}$ unit

Before the ${100}^{th}$ unit

Before the ${120}^{th}$ unit