Max 10X1 + 5X2 S.T. Constraint 1 12X1 + 15X2 s 180 Constraint 2 15X1 + 10x2 2 Constraint 4 X2 > 1 Constraint 5 -5X1 + 7X2 0 Questions: a. Plot all constraint (20 Points) b. Show algebraically how to determine the feasible side of constraint 5. (4 Points) c. Determine the feasible region by shading or by arrows that indicate the feasible side. (2 Points) d. Find the optimal solution either by Iso-profit or by enumeration. (24 Points) Fey Corporation manufactures two models of office chairs, a standard and a deluxe X model. The following activity and cost information has been compiled: Product #of Setups #of Components #of Direct Labor Hours Standard 22 375 Deluxe 28 12 225 Overhead $40,000 $80,000 Number of setups and number of components are identified as activity-cost drivers for overhead. Assuming an activity-based costing system is used, what is the total amount of overhead costs assigned to the deluxe model