Question
A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40 board feet of wood and 3 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. The profit for each table is $50, and the profit for each chair is $25. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours available. How many tables and chairs should Winston manufacture to maximize its profit? (Let x represent the number of tables Winton manufactures and let y represent the number of chairs they manufacture.)
(x,y)= ( )
What is maximum profit? $_______.
(x,y)= ( )
What is maximum profit? $_______.
Answers
this is classic linear algebra.
Can you at least define the function you wish to optimize?
Maybe then we can work out the constraints.
Can you at least define the function you wish to optimize?
Maybe then we can work out the constraints.