Q. A factory makes shoes of two types, A-type and B-type. Both require the same amount of leather which is available in such quantity that 80 pairs of shoes can be made per day. It takes twice as long to make A-type shoes as B-type. The capacity of the factory is such that if only B-type shoes were to be made, 100 pairs could be produced in one day. A-type shoes require some special material which is available in quantities sufficient for 40 pairs per day. The special material required for B-type shoes is available in quantities sufficient for 70 pairs per day. If the factory makes a profit of Rs. 200 per pair on A-type shoes and Rs. 150 per pair on 8-type shoes how many pairs of shoes of each type should it produce every day for maximum profit ?