Download
1 / 7
70 likes | 191 Vues
Celebrate Lego's 50th anniversary by exploring a resource allocation problem where limited Lego blocks must be utilized to maximize profit. You have 8 small Lego blocks and 6 large blocks available. Each table requires 2 large and 2 small blocks, yielding a profit of $17, while each chair needs 1 large and 2 small blocks, offering a profit of $10. The goal is to determine the optimal number of tables and chairs to manufacture in order to achieve the highest possible profit.
E N D
Resource Allocation/Product Mix • Issue • Given a set of limited resources, how many units of each product should we manufacture in order to maximize profit?
Materials • 8 small Lego™ blocks • 6 large Lego™ blocks
Tables Materials 2 large lego blocks 2 small lego blocks Profit $17 per table Chairs Materials 1 large lego blocks 2 small lego blocks Profit $10 per chair Products
Questions • Given the available resources, the product requirements and profits: • How many tables and chairs should be manufactured in order to maximize the profit? • What is the maximal profit?
Tables Materials 2 large lego blocks 2 small lego blocks Profit $17 per table Chairs Materials 1 large lego blocks 2 small lego blocks Profit $10 per chair Summary • If 8 small blocks and 6 large blocks are available, how many chairs and tables should be made in order to maximize the total profit and what is the maximum total profit?
