4: Suppose that you have been put in charge of managing the clothing supply for a small, newly established space colony. The colony has n colonists each of whom needs at least two pairs of shoes, three jumpsuits, and a hat. You can make each of these products from some combination of cotton, thread, and glue, all of which you need to import. You can also import already made clothing for a fixed cost. For each item that you produce in the factory, you also incur a cost of d per item (a pair of shoes, jumpsuit, and hat each count as an 'item') for the use of electricity in your factory. Write down (but do not solve) a linear program to minimize the cost of acquiring all of the clothing which your colony requires. You may assume that you are allowed to make and import fractional quantities of each of these goods. (20 pts)

A shoe store orders shoes from the manufacturer and sells them at a mall. Storing shoes at the store costs $2 per shoe pair for a year. When reordering shoes from the manufacturer, there is a fixed cost of $36 per order as well as $9 per shoe pair. The retail store sells 3500 shoe pairs each year. What is the optimal number of shoes to order in each order to minimize their total inventory costs? What is the total inventory cost?

Given the directed graph shown in figure 2 below, determine the following: a) Adjacent matrix b) Incidence matrix c) Edge list d) Adjacent list.

5. Which is the most expensive exclusive site resumption strategies? a. Mobile site b. Cold site С.Warm site d. Hot site e. Mirrored site

Find the shortest path from node 1 to 5 in the figure 3 using Dijkstra Algorithm.

19. NIST SP 800-34 belongs to which contingency planning process element? a. Policy environment enabling the planning process b. Business impact analysis to understand causes and effects of precursor activities c. Planning methodologyС. d. Planning budget a nd access to resources e. None of the above

a) True or False: It is possible for an LP's feasible region to be empty (contain no points),resulting in an infeasible LP. b) True or False: For an LP to be unbounded, the LP's feasible region must be unbounded. c) True or False: Every LP with an unbounded feasible region has an unbounded optimal solution. d) True or False: It is possible that an LP has an infinite number of optimal solutions.

a. Which is the most important factor used to rank business functions? b. What will be the total weight if the impact on public image for the advertising services business function is assessed to be 9? C.Which business function has the highest impact on profitability? d. which business function should have the second highest impact on business?

The following table shows a simplified list of activities and predecessors that are involved in building a house. a) Draw the project network. b) Determine the critical path. c) Find the total float for each activity.

Which is not a trigger situation that may cause the activation of the IR plan? а.Phone call from a user to the help desk about unusual behavior b. Notification from an intrusion detection device C.Loss of system connectivity d. Review of logs indicating unusual patterns e. All a re possible trigger situations