Question Thanks for the help. 3. Use Dijkstra's algorithm as presented in class to find the path of least cost from A to Z. Show all your steps, separating each iteration. Include both the path and the cost in your answer. B 4 1 2 7 D A 4 7 3 2 d 5 E 3 Z 4. Consider the graph below: a G e (a) Give a planar representation. (b) Find the chromatic number. Justify your answer. Determine if it is bipartite or not. Justify your answer.

Problem 3 (Noonburg, Exercise 2.7.11). A population of fish in a lake satisfies the growth equation -= 0.5P(4 - P) -h, dP where P(t) denotes the number of fish in thousands) in the lake at time t (where t is measured in years) and h the number of fish in thousands) harvested per year. (a) If the harvesting term h is zero, how many fish will the lake support? (b) If we take the harvesting term to be h = 1, find all the equilibrium solutions and draw a phase line. Label each equilibrium as a sink, a source, or a node. (c) If h = 1 and the initial condition is P(0) = 0.5, what happens to the solution to the corresponding IVP as t oo? Explain your answer in terms that a biologist might use. (d) Sketch phase lines for h = 0,0.5, 1.0, 1.5, 2.0, and 2.5, and place them side by side to form a bifurcation diagram, (e) What is the bifurcation point h = h' for this problem?

Solution of these exercises using genetic algorithm Exercise 2.1: Evolutionary Computation Consider a population of simple creatures, with a single chromosome of length n = 1000. Each entry in the chromosome can take four values (A, C, G, T). Assume that the population size is equal to M. (a) How many possible chromosomes are there? (b) Assuming that the

  1. draw AON network diagram 2.find ES,EF,LS,LF, slack,completion time The Denver Iron \& Steel Company is expanding its operations to include a new drive-in weigh station. The weigh station will be a heated/air-conditioned building with a large floor and small office. The large room will have the scales, a 15 -foot counter, and several display cases for its equipment. Before erection of the building, the project manager evaluated the project using probabilistic modeling. The following activities with their corresponding times (in weeks) were

Steam at a temperature of 300°C has a specific volume of 0.09765 m3 /kg. Determine the pressure, specific internal energy, enthalpy, and entropy.

Steam at a temperature of 300°C has a specific volume of 0.09765 m3/kg, determine the pressure, specific internal energy, enthalpy, and entropy.

Using AON analysis, find the critical path, the slack times, and the expected completion time. 12. The Denver Iron & Steel Company is expanding its operations to include a new drive-in weigh station. The weigh station will be a heated/air-conditioned building with a large floor and small office. The large room will have the scales, a 15-foot counter, and several display cases for its equipment. Before erection of the building, the project manager evaluated the project using AON analysis. The activities with their corresponding times were recorded in Table A. Times Optimistic Most Likely Pessimistic Preceding Tasles Activity Lay foundation Dig hole for scale Insert scale bases Erect frame Complete building Insert scales Insert display cases Put in office equipment Finishing touches 8,6