35) A manufacturer produces bicycles and scooters, each of which must be processed through two machines Aand B. Machine A has a maximum of 120 hours available and Machine B has a maximum of 180 hours available.Manufacturing a bicycle requires 6 hours on Machine A and 3 hours on Machine B. Manufacturing a scooter requires4 hours on Machine A and 10 hours on Machine B. If x number of bicycles and y number of scooters are manufacturedthen the linear inequalities are(a) 6x + 4y 2120, 3x + 10y 180, x 20, 720(b) 6x + 4y 5120, 4x + 10y S180, x 20, y 20(c) 6x + 4y <120, 3x + 10y S180, X 20, y 20(d) 6x + 4y 2120, 3x + 10y 2 180
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