solve the following

3. Use the Simplex Algorithm to solve the following: I intend to set up a car rental eet containing small and large cars. I will purchase my cars in packages from three different motor retail outlets: MR1, MR2, and MR3. MRl's packages each contains 40 small cars and 5 large cars; MR2's packages each contains 20 small cars and 5 large cars; MR3's packages each contains 10 small cars and 10 large cars. I want my purchases to satisfy the following conditions: 10 points 0 I should purchase no more than 40 packages altogether. o The number of packages that I purchase from MR1 and MR2 combined should be at most a third of the number of packages that I purchase altogether; o I should purchase at most 300 large cars altogether; and o The number of small cars that I purchase from MR2 and MR3 combined should be at least 180 more than the number of small cars that I purchase from MR1. How many packages should I purchase from each retail outlet in order to maximize the total number of large cars in my eet? The LPP for this realworld problem was derived in Homework III #2. Deptct your elementary operations in the usual manner ( and in the usual place); don't forget to come back out at the end, to answer the real-world