Maximize profit 4D + 3W With constraints Time 3D + 2W 150 Cost 2D + 4W 220 D, W 0 We saw the best point was (20, 45) with profit 215. Use this problem and the notes to answer the following (except part 4): 1 write true or false and then explain either response to this - the range of optimality on the D variable refers to how much the value 20 in the best point can go down or go up and this point is still the best, 2 write true or false and the explain either response to this - the range of feasibility of the time constraint refers to the value 150 and how much if can change and the best point is still (20, 45), 3 write true or false and explain either response to this - the shadow price of .125 on the cost constraint means that if the right hand side of the constraint (the 220) is anywhere between 100 and 300 then each 1 unit increase in this RHS (say from 100 to 101) will increase profit by 12.5 cents and any 1 unit decrease in this RHS will decrease profit 12.5 cents, 4 write true or false and explain from information in section 8.6 of the text about the electronic communications problem - On the model variable D the reduced cost of minus 45 means that if the company decided that instead of making D = 0 as suggested in the solution but made D = 1 that profit would go up $45 from the original optimal value.