Hello. Need help with this practice question. 3. Use the Simplex Algorithm to solve the following:I intend to set up a car rental fleet containing small and large cars. I will purchase my carsin packages from three different motor retail outlets: MR1, MR2, and MR3. MR1's packageseach contains 40 small cars and 5 large cars; MR2's packages each contains 20 small cars and5 large cars; MR3's packages each contains 10 small cars and 10 large cars.I want my purchases to satisfy the following conditions:• I should purchase no more than 40 packages altogether.• The number of packages that I purchase from MR1 and MR2 combined should be at mosta third of the number of packages that I purchase altogether;• I should purchase at most 300 large cars altogether; and• The number of small cars that I purchase from MR2 and MR3 combined should be atleast 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 totalnumber of large cars in my fleet?

1. LPP formulation is following Decision variables: Let X1, X2, X3 be the number of packages to purchase from the three motor retail outlets respectively Maximize X1+X2+X3 s.t. X3 >= X1+X2+12 or, X1+X2-X3 <= -12 20X2+10X3 >= 40X1+180 or, 40X1-20X2-10X3 <= -180 10X3 <= 5X1+5X2+180 or, -5X1-5X2+10X3 <= 180 X1, X2, X3 >= 0