d e f plz

Recall the problem in the midterm: Alice owns a restaurant and wants to buy flax seeds and pumpkin seeds, but her provider only offers multi-grain packages. The first package contains 25g of sunflower seeds, 20g of pumpkin seeds, 20g of flax seeds, and costs $3. The second package contains 40g of pumpkin seeds, 25g of chia seeds, 30g of flax seeds, and 20g of sunflower seeds, and costs \$6. The third package contains 40g of flax seeds, 30g of pumpkin seeds, and 20g of chia seeds, and costs $5. Alice needs at least 300g of pumpkin seeds and 500g of flax seeds, and wants to know how many of each package she should buy in order to be cost-efficient. Let xi be the number of package i Alice should buy. Then, the LP problem she needs to solve is the following: min3x1+6x2+5x3s.t.20x1+40x2+30x320x1+30x2+40x3x1,x2,x33005000 (d) Recall (rewrite) the SSNEBS theorem (try to really understand each part of it as you write it instead of just "copy-pasting" what is in the lecture notes) and check if we can apply it here. (e) Using the formula in the SSNEBS theorem: - Explain the general meaning of the optimal dual variables y1,y2 from Alice's point of view. - Give an economical explanation of their values for that particular problem (e.g if yi=, why does it make sense (economically) that it should be equal to ). (f) Find the largest such that for any t, with t, the vector y is still an optimal solution to the new problem obtained by changing b to b+[t0]. You can give an intuitive answer that you might have from the previous question. but verify your answer using (and adapting!) the method we have seen in III.6. Sensitivity analysis