(Population models) In early May 2000, a computer virus known as the ILOVEYOU worm (ala the Love Bug) spread through Windows computers all over the world by exploiting a bug in Microsoft Outlook email. The worm would overwrite and hide random files on a victim's computer before then copying and sending itself to every contact in the victim's address book.By May 5th, an estimated 10 million computers were already infected. By May 14th, that number had risen to 50 million. On what day would that number reach 250 million without intervention?(a) Let P(t)= number of infected computers (in millions) at time t days since May 5th. Use the Malthusian model to estimate P(t) and answer the question.(b) In the year 2000, there were about 500 million Windows computers in the world in total. Assume that this implies P=500 is the limiting value of P(t) as t. Use the Logistics model to estimate P(t) and answer the question, then compare your answer with the answer from part (a).Hints: This problem does not require solving any differential equations, In part (b) you are given P, therefore you only need to determine the parameters k and C from the given data points.