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Question 1 a) A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit, and the profit for product 2 is $4 per unit. 1. Formulate a linear programming model for this problem. ii. Solve this model by using graphical analysis. Score Major Topic Linear programming (LP): Graphical Solution Blooms Designation AP 7 b) Use the information in (a) to answer the following questions: (i) Transform the linear programming model formulated into standard form (ii) Do you think there are any resources left over and not used at the optimal solution point? Explain. Score Major Topic LP: Standard Form Model Blooms Designation EV 6 c) Explain any THREE properties of linear programming that aid in the model formulation Major Topic Blooms Score Designation Properties of Linear Programming AN 7 d) Distinguish carefully between the following (0) Slack and surplus un