Question: A) Formulate the equations, B) Graph the constraints, and C) Solve using the corner point approach. THE OUTDOOR FURNITURE CORPORATION MANUFACTURES TWO PRODUCTS, BENCHES AND
A) Formulate the equations, B) Graph the constraints, and C) Solve using the corner point approach. THE OUTDOOR FURNITURE CORPORATION MANUFACTURES TWO PRODUCTS, BENCHES AND PICNIC TABLES, FOR USE IN YARDS AND PARKS. THE FIRM HAS TWO MAIN RESOURCES: ITS CARPENTERS (LABOR FORCE) AND A SUPPLY OF REDDWOOD FOR USE IN THE FURNITURE. DURING THE NEXT PRODUCTION CYCLE, 1,200 HOURS OF LABOR ARE AVAILABLE UNDER A UNION AGREEMENT. THE FIRM ALSO HAS A STOCK OF 3,500 BOARD FEET OF GOOD-QUALITY REDWOOD. EACH BENCH THAT OUTDOOR FURNITURE PRODUCES REQUIRES 4 LABOR HOURS AND 10 BOARD FEET OF REDWOOD; EACH PICNIC TABLE TAKES 6 LABOR HOURS AND 35 BOARD FEET OF REDWOOD. COMPLETED BENCHES WILL YIELD A PROFIT OF $9 EACH, AND TABLES WILL RESULT IN A PROFIT OF $20 EACH. HOW MANY BENCHES ANDTABLES SHOULD OUTDOOR FURNITURE PRODUCE TO OBTAIN THE LARGEST POSSIBLE? USE THE GRAPHICAL LP APPROACH.
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