Formulate the linear programing models. DO NOT SOLVE THEM. B…
Formulate the linear programing models. DO NOT SOLVE THEM. Be sure to clearly define each decision variable and write each constraint mathematically. A company makes two products P and Q using two machines A and B. Each unit of P that is produced requires 50 minutes processing time on machine A and 30 minutes processing time on machine B. Each unit of Q that is produced requires 24-minute processing time on machine A and 33 minutes processing time on machine B. Machine A is going to be available for 40 hours and machine B is available for 35 hours. Also, at most twice as much products Q must be made as products P. The profit per unit of P is $25 and the profit per unit of Q is $30. Company policy is to determine the production quantity of each product in such a way as to maximize the total profit given that the available resources should not be exceeded. In the box below, answer all of the following: Define all decision variables. Write the objective function. Write the constraint for Machine A. Write the constraint for Machine B. Write the constraint describing the required relationship between products P and Q. Include all non-negativity restrictions.