(d)Reconsider part (a) assuming that the priority level 1 goal is goal 3 and the priority level 2 goals are goals 1 and 2; as before, assume that goals 1 and 2 are equally important. Solve this revised problem using the graphical goal programming procedure and determine the profit (in dollars).

Profit/unit $4 $2 Dept. A hours/unit 1 Dept. B hours/unit 2 5 Last month's production schedule used 350 hours of labor in department A and 1000 hours of labor in department B. Young's management has been experiencing workforce morale and labor union problems during the past six months because of monthly departmental workload fluctuations. New hiring, layoffs, and interdepartmental transfers have been common because the firm has not attempted to stabilize workload requirements. Management would like to develop a production schedule for the coming month that will achieve the following goals. Goal 1: Use 350 hours of labor in department A. Goal 2: Use 1,000 hours of labor in department B. Goal 3: Earn a profit of at least $1,300. (a) Assuming that goals 1 and 2 are P, level goals and goal 3 is a P, level goal and that goals 1 and 2 are equally important, what is the objective function of a goal programming model for this problem? (Let x; be the number of units of product / produced for i = 1, 2, let do; be the deviation variable which is greater than the value of goal j, and let d; be the deviation variable which is less than the value of goal j, for j = 1, 2, 3.) O Min P1(dni ) + Pi(d n2) + P2(dn3) O Min P1 (dp1) + P1 (dn1) + Pi(dp2) + Pi(dn2) + Pz(dn3) O Min P1(dp1) + P1(dp2) + P2(dn3) O Min P1 (dp1) + P1(dp2) + P2(dn1) + P2(dn2) + Pz(dn3) O Min P1 (dp 1 ) + P1 (d , 1 ) + P2(dp2) + P2(dn2) + P3(dn3) Formulate the constraints of the goal programming model for the objective function above. Goal 1 X1 +x2 - dj + d = 350 Goal 2 2x] + 5x2 - d2 + d, = 1000 Goal 3 4X] + 2x2 -dog + d? = 1300