Formulate as well as solve an integer programming model
Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have attained a load of 600 board feet of birch from a neighbour and are planning to produce round kitchen tables and ladder-back chairs during the next 3 months.
Each table will need 30 hours of labour, each chair will require 18 hours and between them they have a total of 480 hours of labour available. A table requires 40 board feet of wood to make and a chair requires 15 board feet. A table earns the couple $575 in profit and a chair earns $120 in profit. Most people who buy a table likewise want four chairs to go with it, therefore for every table that is produced, at least four chairs must likewise be made, although additional chairs can likewise be sold separately. Formulate similarly solve an integer programming model to determine the number of tables as well as chairs the Jacobson's should make to maximize profit.