Exercise: Adam and Eve scheduling

Adam and Eve are happily married and have two cute sons, Cain and Abel. In general they love each other, but sometimes divirgent opinions relating to house management lead to unnecessary conflicts. To reduce such conflicts, Adam proposes to optimize, starting with following facts:  there are four rooms (kitchen, bath, living room, sleeping room) in their house and they want to have each room in an absolutely clean state at least once in a week. Cleaning of sleeping room and bathroom necessitate investment of 2 hours each, cleaning of living room and kitchen  costs 3 hours each. In order to keep family healthy & restauration costs low, a hot meal is cooked at least 4 times in a week and children also demand one cake a week. Cooking takes 1 hour, baking 2 hours. After cooking or baking, kitchen becomes dirty and Eve demands that kitchen is clean on Sunday evening.  Adam has one hour time on Monday and Wednesday, three hours time on Thursday and fours hours time on each weekend day, Eve has two hours on Tuesday, three hours on Friday and four hours on each weekend day. Ideally, they would like to maximize the amount of time they invest into cleaning & cooking.

Optional: Act of bringing little Cain & Abel to a playground for two hours results in less entropy at home and thus reduces living room cleaning cost to two.