3) Cheer Bikes makes a fiberglass tricycle for kids that is composed of three major components: a handlebar-front wheel-pedal assembly, a seat and frame unit, and rear wheels. The company has orders for 12,000 of these tricycles. The company does not have the resources available to manufacture everything needed for the completion of 12,000 tricycles so has gathered purchase information for each component.

The following table shows relevant information:

	Requirements			Cost to Manufacture	Cost to Purchase
Component	Plastic	Time	Space
Front	3	10	2	8	12
Seat/Frame	4	6	2	6	9
Rear wheel (each)	.5	2	.1	1	3
Available	50,000	160,000	30,000

1. Develop a linear programming model to tell the production manager of Cheer Bikes how many of each component should be manufactured and how many should be purchased in order to provide 12,000 fully completed tricycles at the minimum cost.