Company produces two products (A and B) 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 A requires 7 hours and product B requires 3 hours. The profit for product A is $6 per unit, and the profit for product B is $4 per unit. Required (i) Formulate a linear programming model for this problem. (ii) Sketch the graph of the constraint functions and identify the feasible solution area. (iii) Find the optimal solution. (iv) Find maximum profit corresponding to this optimal solution.

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