Question: I have a total of Rs. 1,000. Item A costs Rs. 110, item B costs Rs. 90, item C costs Rs. 70, item D costs Rs. 40 and item E costs Rs. 45. For every item D that I purchase, I must also buy two of item B. For every item A, I must buy one of item C. For every item E, I must also buy two of item D and one of item B. For every item purchased I earn 1000 points and for every rupee not spent I earn a penalty of 1500 points. My objective is to maximise to points I earn. What is the number of items that I must purchase to maximise my points?
To maximise the points, I should spent the entire amount and should get as many items as possible.
∴ I can maximize my points by purchasing 13C’s and 1B as there is no condition on the purchase of C and B.
∵ The entire amount has been spent, there is no penalty.
Hence, option (b).