Cutting speed in grinding is set to a high vlaue to
A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding / cutting machine and a sprayer. It takes 2 h on grinding / cutting machine and 3 h on the sprayer to manufacture a pedestal lamp. It takes 1 h on the grinding / cutting machine and 2 h on the sprayer to Manufacture a shade. On any day, the sprayer is available for at the most 20 h and the grinding / cutting machine for at most 12 h. The profit from the sale of a lamp is Rs. 5 and that from a shades is Rs. 3. Assuming that the manufacture can sell all the lamps and shades that he produce, how should he schedule his daily production in order to maximize his profit?