A industry produces two types of models `M_(1),M_(2)` Each `M_(1)` model needs 4 hours for grinding and 2 hours for polishing , whereas each `M_(2)` model needs 2 hours for grinding and 5 hours for polishing . Each grinder can work for 80 hours a week while each polisher can work for 180 hours a week . Each `M_(1)` model earns a profit of Rs.3 and `M_(2)` model earns Rs 4 profit . To ensure the maximum profit the profuction capacity allocated to two types of models in a week is

Options

A. (a) `(0,36)`
B. (b) `(20,0)`
C. (c) `(0,40)`
D. (d) `(2.5,35)`

Answer

D