Thank you for the opportunity to help you with your question!
integral of (1/P)dp=lnP+C
integral of 0.05dt=0.05t+C
t=(lnP)/0.05, lnP=0.05t, P=e^(0.05t)
thus the profit of the company as a function of time, t, is: P=e^(0.05t)
Please let me know if you need any clarification. I'm always happy to answer your questions.
15 Million Students Helped!
Sign up to view the full answer