Please answer these questions in part a-e pertaining to the sensitivity analysis.

variable solution reduced cost obj lower obj obj upper amount ordered from [1] 18.75 2.5 4.4 amount ordered from [2] 125 2.725 3.2 inf amount ordered from [3] 150 -inf 3 3.8625 amount ordered from [4] 650 -inf 2.1 2.575 amount ordered from [5] 3.9 inf constraint type slack dual value rhs lower rhs current rhs upper supplier 1 availability 481.25 18.75 500 inf supplier 2 availability 205 125 330 inf supplier 3 availability -0. 8625 100 150 166.667 supplier 4 availability -0.475 575 650 675 supplier 5 availability 300 300 inf size 1 demands 6.25 17.5 20 212.5 size 2 demands -2.5 -inf 30 32.5 size 3 demands -111.25 -inf 120 231.25 size 4 demands 12.875 195 200 215 size 5 demands -50 -inf 150 200 size 6 demands -70 -inf 60 130 size 7 demands -85 -inf 45 130 This problem asks you to interpret these sensitivity analysis tables by answering the follow- ing questions. If a change is out of the allowable range you are expected to provide any possible bounds on the change in objective. a) Right now we do not order from supplier 5. Is there a different supplier 5 cost that would cause us to order from supplier 5 in an optimal solution? b) Which size valve has the highest marginal cost? c) How would the objective change if the cost per heart from supplier 1 increased to 4? How would the objective change if the cost per heart from supplier 1 increased to 5? d) How would the objective change if supplier 4's availability decreased to 600? How would the objective change if supplier 4's availability decreased to 550? e) AEL is considering another supplier that has unlimited availability of hearts and provides hearts of which .4 are size 1 and .6 are size 3. At what cost would AEL want to buy from this supplier