Assume that a CPU can perform a multiplication operation in 9ns and an addition or a subtraction in 1ns.

a. How long will it take for the CPU to calculate the result of following equation assuming that we only have 1 multiplier and 1 adder? x = a * b * c * d + a * e

b. If possible, optimize the equation so that it takes less time. What is the best-case running time for the calculation of the equation? What if we have 2 multipliers and 1 adder?