Tots Toys makes a plastic trieycle that is Composed of three major components: a
ID: 389435 • Letter: T
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
Ans 5)
The total molding time in minutes used is 156,000 as can be seen in the constraints column in the answer report.
Hence the correct answer is option A.
Ans 6)
The total time available for assembly = 30000 minutes
The total time used for assembly = 28000 minutes
Surplus time left in assembly = The total time available for assembly - The total time used for assembly
= 30000 - 28000
= 2000 minutes
Hence the correct answer is option B.
Ans 7)
The amount of plastic available for manufacturing = 50000 pounds
The amount of plastic used for manufacturing = 50000 pounds
The amount of plastic left over = 0 pounds
Hence the correct answer is option E, i.e. none of the above.
Ans 8)
Cost of manufacturing front = $8
Cost of purchasing front = $12
From the final answer,
The number of fronts to be manufactured = 12000
The number of fronts to be purchased = 0
The total manufacturing and purchase cost of fronts = 8 * 12000 + 12 * 0
= $96,000
Hence the correct answer is option D.
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