Tots Toys makes a plastic trieycle that is Composed of three major components: a

Question

Tots Toys makes a plastic trieycle that is Composed of three major components: a handlebar-front wheel-pedal assembly (Front), a seat and frame unit (Seat Frame) and real wheels (Rear Wheel). The company has orders for 12,000 of these tricycles. Current schedules yield the following data. Resource Requirement Plastic (lb)Mokding Time Assembly Time Purchase Cost nutes Front Seat Frame Rear Wheel 10 12 160,000 30,000 The company obviously does not have the resources available to manufacture all components needed for the completion of 12000 tricycles. Therefore, it has to purchase some components from other manufactures. The company needs to decide how many of each component to manufacture and to purchase in order to provide 12,000 fully completed tricycles at the minimum cost. A linear programming model has been formulated and solved for this The following are the decision variables used in the model: x -number of Fronts manufactured x21-number of Seat Frames manufactured a -number of Rear Wheels manufactured x -number of Fronts purchased number ofSeat Frames purchased xnumbrof Rear Wheels purchased The following is the linear programming model: 2 12000 2 12000 12000 S 50,000 s 160,000 s 30,000 +0.5x,1 3x+4x 10x +6x x+2x The Solver solution is shown in the following Excel screen shots:

Explanation / Answer

9. From the given data

X21= No of seat/frames manufactures

X22= No of seat frames purchased

From answer report, X21=2000 and X22= 10000

Hence, total cost= 2000*6 + 10000*9= $102000 -> None of the above

10. The Contraint corresponding to I9 represents Plastic

The Contraint corresponding to I10 represents Molding time

The Contraint corresponding to I11 represents Assembly time

From the answer report we see that constraint I9 is binding and I10 and I11 are non binding

Hence, Plastic only strictly restricts the amount ofthree components manufactured.

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