1: Determine if the following problems are bounded or unbounded and then determine if they are feasible or infeasible (5pts each):

6) A Chemical manufactures three chemicals: A, B, and C. These chemicals are produced via two production processes: 1 and 2. Running process 1 for an hour costs $4 and yields 3 units of A, 1 ofB, and 1 of C. Running process 2 for an hour costs $1 and produces I unit of A and I of B. To meet customer demands, at least 10 units of A, 5 of B, and 3 of C must be produced daily. Formulate the LP and then graphically determine a daily production plan that minimizes the cost ofmeeting company's daily demands. (20 points)

Suppose you have 12 technicians in your organization, each of whom works a 40-hour week with100 % of their time scheduled. Assuming emergency breakdown consumed 89 man-hours out ofthe work schedule. Calculate: a) Total weekly man-hours scheduled b) Scheduled man-hours completed c) Percentage of scheduled compliance

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.

Questions: a) Based on your solution, what was the average travel time (in days) for the 100 containers? b) Based on your solution, what was the average percent damage for the 100 containers? c) Which countries did not ship out all their available containers? Why did these countries, as opposed to those who shipped out all their containers, not ship out more containers? Explain.

3. A firm has three types of wood products (X₁, X2, X3) each requires (or potentially requires) four inputs: A B, C and D. The profit contribution of each output is $20, $27 and $34.5, respectively. a. The company's objective is to choose the product mix that maximizes its profit. Write out the objective function and the constraints. b. Find the profit-maximizing solution using EXCEL's Solver. Hand in copies of the answer report and the sensitivity report. c. If you were to give it a two-dimensional interpretation (that is, think of a two product model on a graph), how would you interpret the "allowable increase" for the X3 coefficient? d. Would it be worth for the firm to acquire one more unit of input A if it cost $10 to do so? Explain with reference to the shadow price.

18. Which of the following sections of a security policy ensures that the policy will not become obsolete? а.4 b. 5 С. 6 d. 7 e. None of the above

3.5-3. Ed Butler is the production manager for the Bilco Corpora- tion, which produces three types of spare parts for automobiles. The manufacture of each part requires processing on each of two machines, with the following processing times (in hours):