Search out five different operation research problems. For each problem do the following: State the word problem Translate the word problem mathematically Decision variables . Constraints Resources etc. Formulate the LP mathematical model Objective function . Subject to... . Find out optimal solution Apply sensitivity analysis Shadow price for each constraints . Optimality range of profit or cost (range of objective function coefficients) Search out five different operation research problems. For each problem do the following: State the word problem Translate the word problem mathematically . Decision variables . Constraints Resources etc. Formulate the LP mathematical model Objective function . Subject to... . Find out optimal solution Apply sensitivity analysis Shadow price for each constraints . Optimality range of profit or cost (range of objective function coefficients) Note: Each individual's work must be: Original (Not copied) . Well-organized . Well-formatted