(b) (24 marks) Solve the model, clearly indicating each constraint with a word description next to it, the feasible region, the trial and optimal isovalue lines, and the point of optimality. Compute the exact solution algebraically, and clearly state the recommendation and the OFV.

1. (34 marks) A company makes two types of motors for the electric car market. After deducting all direct costs, each AC induction motor gives a profit of $650, while each brushed DC motor gives a profit of $400. Every motor goes through three assembly-lines. Every AC induction motor takes 36 minutes in Assembly-line 1, 22 minutes in Assembly-line 2, and 10 minutes in Assembly-line 3. Every brushed DC motor takes 18 minutes in Assembly-line 1, 22 minutes in Assembly-line 2, and 30 minutes in Assembly-line 3. During the next planning period, Assembly-lines 1, 2, and 3 will be open 450, 440, and 400 hours respectively. There is a contractual obligation to produce at least 350 AC induction motors during the planning period. They want the production of brushed DC motors to be at least 55% of the total production. (a) (10 marks) Formulate a linear optimization model for this situation. 1. (34 marks) A company makes two types of motors for the electric car market. After deducting all direct costs, each AC induction motor gives a profit of $650, while each brushed DC motor gives a profit of $400. Every motor goes through three assembly-lines. Every AC induction motor takes 36 minutes in Assembly-line 1, 22 minutes in Assembly-line 2, and 10 minutes in Assembly-line 3. Every brushed DC motor takes 18 minutes in Assembly-line 1, 22 minutes in Assembly-line 2, and 30 minutes in Assembly-line 3. During the next planning period, Assembly-lines 1, 2, and 3 will be open 450, 440, and 400 hours respectively. There is a contractual obligation to produce at least 350 AC induction motors during the planning period. They want the production of brushed DC motors to be at least 55% of the total production. (a) (10 marks) Formulate a linear optimization model for this situation