Tots Toys makes a plastic tricycle that is composed of three major components: a handlebar-front wheel-pedal assembly (Front), a seat and frame unit (Seat/Frame) and rear wheels (Rear Wheel). The company has orders for 12,000 of these tricycles. Current schedules yield the following data.

		Resource Requirement		Cost	Cost
Component	Plastic (lb)	Molding Time (minutes)	Assembly Time (minutes)	Manufacture Cost	Purchase Cost
Front	3	10	2	8	12
Seat/Frame	4	6	2	6	9
Rear Wheel	0.5	2	0	1	3
--	50,000	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 manufacturers. The company needs to decide how many of each component to manufacture and to purchase in order to provide 12,000 fully complete tricycles at the minimum cost. A linear programming model has been formulated and solved for this problem.

The following are the decision variables used in the model: x11 - number of Fronts manufactured x21 - number of Seat/Frames manufactured x31 - number of Rear Wheels manufactured x12 - number of Fronts purchased x22 - number of Seat/Frames purchased x32 - number of Rear Wheels purchased The following is the linear programming model: Min8x11+12x12+6x21+9x22+x31+3x32s.t.x11+x12x21+x221200012000x31+x32120003x11+4x210.5x350,00010x11+6x212x3160,0002x11+2x2130,000x11,x12,x21,x22,x31,x320 How many Seat/Frames should be manufactured? 12,0002,00010,0000 none of the above QUESTION 2 How many Seat/Frames should be purchased? 12,0002,00010,0000 none of the above QUESTION 3 What is the total manufacturing cost of the three components? $210,000 $96,000 $90,000 $120,000 none of the above QUESTION 4 What is the total purchase cost of the three components? $210,000 $96,000 $90,000 $120,000 none of the above QUESTION 5 he total molding time in minutes used is 156,0004,000160,00012,000 none of the above QUESTION 6 The surplus capacity in minutes, i.e., time left over, in assembly is 28,0002,00030,00012,000 none of the above QUESTION 7 The amount of plastic in pounds left over is 50,00012,0002,00096,000 none of the above QUESTION 8 The total manufacture and purchase cost of Fronts is $210,000 $12,000 $90,000 $96,000 none of the above The total manufacture and purchase cost of Seat/Frames is $210,000$12,000$90,000$96,000 none of the above QUESTION 10 Which of the resources strictly restrict(s) the amount of the three components manufactured? plastic only molding time only assembly time only both molding and assembly time all three resources