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Ahsan Bhatti & Co are the large fruit pulp manufacturer in Pakistan produces two products that are sold as raw materials to companies manufacturing tomato pulp (product A) and mango pulp (product B). Based on an analysis of current inventory levels and potential demand for the coming month, Ahsan Bhatti & Co management has specified that the combined production for tomato pulp (product A) products A and mango pulp (product B) must total at least 350 gallons. Separately, a major customer’s order for 125 gallons of I unit of tomato pulp (product A) and 250 gallons of 2 units of mango pulp (product B) must also be satisfied. Tomato pulp (product A) requires 2 hours of processing time per gallon while mango pulp (product B) requires 1 hour of processing time per gallon, and for the coming month, 600 hours of processing time are available. Ahsan Bhatti & Co objective is to satisfy these requirements at a minimum total production cost. Production costs are Rs. 200 per gallon for product A and 300 per gallon for product B. The linear programming model is given below. ?????? 200?? + 300?? ??.??. 1?? = 125 ???????????? ?????? ?????????????? ?? 2?? = 250 ???????????? ?????? ?????????????? ?? 3?? + 5?? = 350 ?????????? ???????????????????? 2?? + 5?? = 600 ???????????????????? ???????? ??, ?? = 0 a) Draw a graphical representation of constraints and identify the feasible region. b) Use corner point method and identify the corner points for this problem and also determine the coordinates of each extreme point. Find the optimal solution.