Bunuel
Two types of widgets, namely type A and type B, are produced on a machine. The number of machine hours available per week is 80. How many widgets of type A must be produced?
(1) One unit of type A widget requires 2 machine hours and one unit of type B widget requires 4 machine hours.
(2) Every week, at least 10 units of type A widgets and at least 15 units of type B widgets must be produced.
I think C,
Given - Two types of widgets, namely type A and type B, are produced on a machine. The number of machine hours available per week is 80.
Assume A as a hours required to produce Type A widget and B as a hours required to produce Type B.
To find how many widgets of type A must be produced lets check given condition.
1st - One unit of type A widget requires 2 machine hours and one unit of type B widget requires 4 machine hours.
Therefore, 2A + 4B = 80
On further solving, A + 2B = 40 ------- (Eq1)
So there will be multiple values for both A & B hence not sufficient.
2nd - Every week, at least 10 units of type A widgets and at least 15 units of type B widgets must be produced.
Therefore A>= 10 and B>=15. Doesnt says anything else. Hence not sufficient.
But now combining both we will see only only A = 10 and B = 15 satisfying values for both A & B.
Hence C.