Please do not use scratch paper.

Problem #1 (Integer Linear Optimization Models): Solve the following problem (which is #11 from Chapter 13) ensuring the number of units produced is an integer. How much difference is there between the optimal integer solution objective function and the linear optimization solution objective function? Would rounding the continuous solution have provided the optimal integer solution? (#13.11) Valencia Products makes automobile radar detectors and assembles two models: LaserStop and SpeedBuster. The firm can sell all it produces. Both models use the same electronic components. Two of these can be obtained only from a single supplier. For the next month, the supply of these is limited to 4,000 of component A and 3,500 of component B. The number of each components required for each product and the profit per unit are given in the table: Components Required per Unit Product A B Profit/Unit LaserStop 18 6 $124 SpeedBuster 12 8 $136