1. If α is the fraction of a program p's code that can be executed simultaneously by n processors in a computer system and the remaining code must be executed sequentially by a single processor, along with the fact that each processor has an execution rate of x million instructions per second. Then
a. Derive an expression for the effective MIPS rate when using this system for the execution of this program in terms of x, n and α. (10 points)
b. If n =16 and x = 4 MIPS, determine the value of α that will yield a system performance of 34 MIPS.