based on the information given, what is the optimal production quantity of product A? 1. Can't be computed 2. 12. 3. 4. 4. 16. (those are answer choices)

The A-B-C department of a large company makes three products (A, B and C). To determine the best production schedule, the manager has formulated the following linear programming model: Decision variables: A - quantity of product A B = quantity of product B C = quantity of product C Objective function: Maximize 12 A + 15 3 + 16 C (total profit: cocfficients are net profit per unit in dollars) Constraints; Material 1 3A+"B+8 C = 0 The manager has solved this problem using Excel Solver and The sensitivity report is elven bplain Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease S852 A SC$2 B 1E+30 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease SES6 Material 1 720 420 SES7 Material 2 600 16+30 316 SES8 Material 3 400 400 560