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(Part SA) Each question is independent of the other questions. Consider an LP maximization problem, in which X and Y denote the number of units of products X and Y to produce, respectively. The Excel Sensitivity Report for this problem is shown below. Calculate and explain what happens to the optimal solution for each of the following situations.

QUESTION 3 Answer the following questions regarding heating and cooling:

(Part SA) Suppose that 50 units of Resource 4 were found to be unusable, how would the solution change?

(Part SP) Refer to the above figure, this model has [a] decision variables. 

Question 2.1.1   Joseph Priestley invented fizzy drinks by adding a gas he called ‘heavy air’. What is the name of the gas now? [ans1] (1)

Question 1.4.1 In solids, liquids and gases the particles behave in different ways. Describe how the particles in solids behave. (1)

[Part2] There are five corner points: (X1, X2)={(0,0),(8,0),(8,2),(4,6),(0,8)}.The optimal solution is ______________?

(Part SP) Consider the following shortest path problem where node 1 is the starting node and node 6 is the destination node. What is the constraint associated with node 1?

Question 1.4.3   Describe how the particles in liquids behave. (1)

Question 1.4.2   Describe how the particles in gases behave. (1)