Do all the steps in Linear programming to solve the following problems. Enabling Assessment Module 5 1. (15 pts.)The Upland Mines Inc. (UMI) operates two mines in Benguet Province. The ore from each mine is separated into two grades before it is shipped. The daily production capacities of the mines, as well as their operating costs, are as follows: High-Grade Ore, Low-Grade Ore, Operating Cost, (tonSl'day) (tonsl'dayj (rooo Rhday) 3 5 2D 6 5 22 UMI has committed itself to deliver at least 54 tons of high-grade ore and 65 tons of low'grade ore by the end of the week. It also has labor contracts that guarantee employees in each mine a full day's pay for each day or fraction of a day the mine is open. Determine the number of days each mine should be operated during the upcoming week if UMI is to fulfill its commitment at a minimum total cost. Enabling Assessment Module 5 2. (15 pts.)I A chemical firm makes two brands of fertilizer. Their regular brand contains nitrates, phosphates, and potash in the ratio 3:6:1 (by weight) and their super brand contains these three ingredients in the ratio 433. Each month the firm can rely on a supply of 9 tons of nitrates, 13.5 tons of phosphates. and 5 tons of potash. Their manufacturing plant can produce at most 25 tons of fertilizer per month. If the firm makes the profit of P1sooo on each ton of regular fertilizer and P24ooo on each ton of the super grade, what amounts of each grade should be produced in order to yield the maximum profit? Nantes Plans-pales Potash Ptol {9111'} Regular om: 0.3 n 6 0.1 not 5mm 04 0.3 14000 Amuse Supply 9 I3 3 a