Tutorial Questions on Linear Programming Formulation Question 1 (Production problem) Winkler Furniture manufactures two different types of china cabinets: a French Provincial model and a Danish Modern model. Each cabinet produced must go through three departments: carpentry, painting, and finishing. The table below contains all relevant information concerning production times per cabinet produced and production capacities for each operation per day, along with net revenue per unit produced. CABINET STYLE French Provincial Danish Modem Department capacity (hours) CARPENTRY (HOURS/ CABINET) 3 2 360 PAINTING (HOURS/ CABINET) 1.5 200 FINISHING (HOURS/ CABINET) 0.75 0.75 125 NET REVENUES CABINET ($) 28 25 The firm has a contract with an Indiana distributor to produce a minimum of 300 of each cabinet per week (or 60 cabinets per day). Owner Bob Winkler would like to determine a product mix to maximize his daily revenue. (a) Formulate as an LP problem.

Guestion 1 (Production problem) Winkler Fumiture masufictures two different types of china cabinets, a French Provincial model and a Danish Modern model. Each cabinet produced must go through three departments: carpentry, painting and fiaishing. The table below contains all relevant information concerning prodaction times per eabiset produced and production capacities for each operation per day, along with net revenue per unit prodiced. The firm has a contract with an Indiana distributor to produce a minimum of 300 of each cabinet per week (or 60 cabinets per day). Owner Bob Winkler would like to determine a product mix to maximize his daily revenve. (a) Formulate as an IP