e,f,g,h please

1. In the lecture a so-called RMC problem was discussed which had decision variables 21 = tons of fuel additive produced tons of solvent base produced 22 = leading to the following formulation of the RMC problem: maximize profit subject to Material 1 z = 4021 + 3022. 2/5x1 + 1/2 x2 0. The final simplex tableau is shown here: S1 10/3 12 21 0 0 1 0 S2 22 1 0 0 0 S2 0 1 -2/3 S3 -20/9 20 4/9 1 25/9 25 -400/9 -1600 1 0 -5/3 -100/3 0 10 CINIU THIN (e) Which of the materials would increase the profit most if one more ton of it would be available? How much should the company be willing to pay for this material? (f) Compute the right-hand-side ranges for b1,b2 and 63. How much of the material de- termined in the previous subquestion should maximally be bought by the company, given that other additional materials can not be bought? (g) Compute the ranges of optimality for ci and C2. (h) Formulate the Dual of the above RMC