Max. z=2780x1+1750x2+500x3 Max. z=6x1+5x2+10x3 Max. z=9x1+20x2+6x3 Max. z=300x1+455x2+390x3 The Bennington Furniture Co. produces bar stools, buffets, and pantry cabinets at its plant in West Lafayette, Indiana. The plant uses three main resources to make furniture; wood, steel and labor. The resource requirements for each piece of furniture and total resources available weekly are as follows: The furniture is produced on a weekly basis and stored in a warehouse until the end of the week, when it is shipped out. The inventory capacity at the warehouse is for 900 pieces of furniture. Each bar stool earns $300 in profit, each buffet $455, and each pantry cabinet, $390. Due to its contract with a distributor, the company has to ship out 250 units of buffecs at least. Also, the company can sell at most 170 units of bar stools weekly, Additionally, the number of pantry cabinets produced has to be ac least three times as many as the number of butfets produced. The company wants to know how many picces of each type of furniture to make per week to maximize profit. Max. z=2780x1+1750x2+500x3 Max. z=6x1+5x2+10x3 Max. z=9x1+20x2+6x3 Max. z=300x1+455x2+390x3 The Bennington Furniture Co. produces bar stools, buffets, and pantry cabinets at its plant in West Lafayette, Indiana. The plant uses three main resources to make furniture; wood, steel and labor. The resource requirements for each piece of furniture and total resources available weekly are as follows: The furniture is produced on a weekly basis and stored in a warehouse until the end of the week, when it is shipped out. The inventory capacity at the warehouse is for 900 pieces of furniture. Each bar stool earns $300 in profit, each buffet $455, and each pantry cabinet, $390. Due to its contract with a distributor, the company has to ship out 250 units of buffecs at least. Also, the company can sell at most 170 units of bar stools weekly, Additionally, the number of pantry cabinets produced has to be ac least three times as many as the number of butfets produced. The company wants to know how many picces of each type of furniture to make per week to maximize profit