*1. In the Reddy Mikks model (Example 2.2-1), consider the feasible solution Xl = 3 tons and X2 = 1 ton. Determine the value of the associated slacks for raw materials M1 and M2.

In the diet model (Example 2.2-2), determine the surplus amount of feed consisting of 500 Ib of corn and 600 lb of soybean meal.

Consider the following inequality 10XI - 3X2 2:::: -5 Show that multiplying both sides of the inequality by -1 and then converting the resulting inequality into an equation is the same as converting it first to an equation and then multiplying both sides by ~ l.

Two different products, PI and Pl, can be manufactured by one or both of two different machines, M1 and M2. The unit processing time of either product on either machine is the same. The daily capacity of machine Ml is 200 units (of either PI or n, or a mixture of both) and the daily capacity of machine M2 is 250 units. The shop supervisor wants to balance the production schedule of the two machines such that the total number of units produced on one machine is within 5 units of the number produced on the other.The profit per unit of PI is $10 and that of n is $15. Set up the problem as an LP in equation form.