The Flair Furniture Company produces inexpensive tables and chairs. The production process for each is similar in that both require a certain number of labour hours in the carpentry department, and a certain number of labour hours in the painting department. Each table takes 4 hours of carpentry work and 2 hours of painting work. Each chair requires 3 hours in carpentry time and 1 hour in painting. During the current production period, 240 hours of carpentry time and 100 hours of painting time are available. The marketing personnel are confident that they can sell all the tables that are made. However, due to an existing inventory of chairs, they want Flair to make no more than 60 new chairs. Each table sold results in a profit contribution of $7, and each chair sold yields a profit contribution of $5. Flair Furniture is to determine the best possible combination of tables and chairs to manufacture in order to attain the maximum profit. The firm would like this product mix situation formulated as an LP problem.
a) Formulate using LP
b) Solve graphically