(c) Show that if the sum of the speeds of a processor executing two programs, each consisting of the same number of instructions, is fixed then the processor will complete the execution of the two programs earliest if it executes both programs equally fast. (Hint: The function (ax)xa is minimum at x=a/2.) (d) Assuming that a computer program, Cx consists of u instructions, program, Cy consists of v instructions, and that the sum of the execution speeds of Cx and Cy by a processor is fixed, derive a formula for the shortest time that the two programs can be executed by that processor