As per Wikipedia, a problem is said to have optimal substructure if an optimal solution can be constructed from optimal solutions of its subproblems. Take the example of the Matrix Chain Multiplication problem below. AxBxCxD where A has dimension 2x3, B has dimension 3x5, C has dimension 5 x 3, and D has dimension 3 xl. (a) What is an optimal solution to the above problem? Show your work in form of a table.
(b) How many subproblems are there to the above problem?
(c) State completely each of the subproblems from (b).
(d) What are the optimal solutions to the subproblem(s) (listed in (c))?

Match the steps of the process to julia's analysis. 1. analyze choices. current costs for making phone calls to foreign countries averages between five and ten cents a minute. 2. determine the goals. julia needs to reduce the cost of telecommunications without reducing her employees' ability to do their jobs. 3. gather data. the corporate computer network will be able to handle the increased traffic that will occur as a result of voip. 4. evaluate the decision. julia will have her it department set up voip in the smallest domestic office. 5. make the decision. julia will have employees document the benefits and problems that result from using the new technology.

Lisa has a section of her document that she would like to include in the index. which option should lisa choose? mark index mark entry insert endnote add text

The most common battery cable terminal is a that provides a large surface contact area with the ability to tighten the terminal onto the battery post using a nut and bolt.