need full solution with steps

4. (3 pts) Wile E. Coyote has just bought ACME's latest Roadrunner catching contraption. There is a catch however, the contraption is too complicated to operate without training. Since you and Wile are old high school friends, and he knows you are taking IE366, he has asked you to help him calculate how long it will take him to master the new contraption. Wile is reporting that it took him 27 and 20 seconds to complete the contraption's first and tenth operation cycles respectively. Wile expect that to be effective, he should be able to complete the operation cycle in no more than 15 seconds. a. Calculate Wile's learning curve and depict it graphically using exponential and log scales. b. How many cycles will Wile have to complete to reach a time of 15 seconds per cycle? c. How long will it take Wile to complete the number of cycles calculated in part b