1) (80 points) Derive the expression of the optimal packet size Smax that maximizes the efficiency. Express Smax as a function of the bit rate br, the propagation time Tp, and the bit error rate ber. (Hint: a function f(x) is optimal for some value x0 if and only if f'(x0)=df(x)dx=0. In other words, derive the function f(x) and solve f'(x0) = 0.

Assume the existence of a bankaccount class. define a derived class, savingsaccount that contains two instance variables: the first a double, named interestrate, and the second an integer named interesttype. the value of the interesttype variable can be 1 for simple interest and 2 for compound interest. there is also a constructor that accepts two parameters: a double that is used to initialize the interestrate variable, and a string that you may assume will contain either "simple", or "compound", and which should be used to initialize the interesttype variable appropriately. there should also be a pair of functions getinterestrate and getinteresttype that return the values of the corresponding data members (as double and int respectively).