1)A company produces two products, A and B, which have profits of P90 and P70, respectively

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1)A company produces two products, A and B, which have profits of P90 and P70, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows: Number of Hours per Unit Product Line 1 Line 2 A 12 B 4 8 Total Hours Formulate an LP model to determine the optimal product mix that will maximize profit. 2. A hospital dietitian prepares breakfast menus every morning for hospital patients. Part of the dietitian's responsibility is to make sure that the minimum daily requirements for vitamins A & B are met. At the same time, the cost of the menus must be kept as low as possible. The main breakfast staples providing vitamins A & B are eggs, bacon, and cereal. The vitamin requirements and vitamins contributions for each staple follow Minimum Daily Vitamin Contribution Requirements Vitamin mg/Egg Mg/Bacon Strip Mg/cereal Cup A 2 4 1 16 B 3 2 1 12 An egg costs P3.50, a bacon strip costs P5 and a cup of cereal costs P2.50. The dietitian wants to know how much of each staple to serve per order to meet the minimum daily vitamin requirements while minimizing total cost. Formulate a linear programming model for this problem