13. The Paper Chase Company recycles paper for packaging. Currently, the process requires 22 labor-hours per 8-ton batch to recover a certain amount of material. Because much of the labor time during processing is required for an operator to fill and empty water tanks, the company scheduler feels that this portion of the time cannot be reduced.

He thinks that the company might achieve a 90 percent improvement rate.

a. If Paper Chase can achieve a 90 percent improvement rate, how many labor hours will be required to produce the 100th batch?

b. How many labor hours will be required to produce the 1,000th batch?