Dr. Tanner's oldest two children want to divide their chores (load dishwasher, sweep after dinner, clean bedroom, and vacuum living room) between them so that each has only two chores but the total time they spend on chores is kept to a minimum. The time in minutes per week for each chore is given below: Loading the diswasher and sweeping are after dinner chores. Cleaning the bedroom and vacuuming the living room are weekend chores. Neither child wants to do both dinner chores or both weekend chores. Formulate a binary linear program that minimizes the total time spent on chores. Make sure to clearly define all decision variables used. Do not solve. Dr. Tanner's oldest two children want to divide their chores (load dishwasher, sweep after dinner, clean bedroom, and vacuum living room) between them so that each has only two chores but the total time they spend on chores is kept to a minimum. The time in minutes per week for each chore is given below: Loading the diswasher and sweeping are after dinner chores. Cleaning the bedroom and vacuuming the living room are weekend chores. Neither child wants to do both dinner chores or both weekend chores. Formulate a binary linear program that minimizes the total time spent on chores. Make sure to clearly define all decision variables used. Do not solve