Please include the complete LP model (objective function and constraints) or do not reply this question.

Tattle Tots 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 it has gathered purchase information for each component.

The following table shows relevant information (note that tricycles use 2 rear wheels)

Develop a linear programming model to advise the operations manager of Tattle Tots 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. What is your best recommendation?

Automatic thumbs down if it does not include the complete LP model (objective function and constraints) but major thumbs up if it does!

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