Topic: Management Science, Linear Programming Graphical Method

Toy Mania manufactures two toy doll models: Space Trooper and Sea Zippers.

The operations has resources are limited to 1000 pounds of special plastic 40 hours of production time per week.

They also have a Marketing requirement

• Total production cannot exceed 700 dozens.
• Number of dozens of Space Troopers cannot exceed number of dozens of Sea Zippers by more than 350.

For every dozen of Space Troopers it requires 2 pounds of plastic and 3 minutes of labor per dozen. Sea Zippers requires 1 pound of plastic and 4 minutes of labor per dozen.

The current production plan of the business calls for:

• Producing as much as possible of the more profitable product, Space Troopers ($8 profit per dozen).
• Use resources left over to produce Sea Zippers ($5 profit per dozen), while remaining within the marketing guidelines.

The current production plan consists of:

• Space Troopers = 450 dozen
• Sea Zippers = 100 dozen
• Profit = $4100 per week = 8(450) + 5(100)

Management is seeking a production schedule that will increase the company's profit.