- We have just solved a minimization problem. The sensitivity analysis for this problem is given below. You do not need to know the values "?" to answer the questions. Please answer the following questions shortly. Question 4 a) Find the values of t,u,v. Slack variables and shadow prices cannot be zero at the same time. Since shadow prices are not zero, slack variables must be zero. Therefore t=4,u=2 and v=6. b) If we increase the rhs of the third constraint by 1 , how does the objective value change? Increases at the rate of 3 the corresponding shadow price for third constraint c) How much can we decrease the objective coefficient of W and still preserve the current basis? By the corresponding allowable decrease r. d) If we force Z to enter basis, how does the objective value change per unit increase in the value of Z ? Decreases at the rate of 1 the corresponding reduced cost for Z