Q(22) A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding /cutting machine and a sprayer. It takes 2 hours on the grinding /cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp while it takes 1 hour on the grinding / cutting machine and 2 hours on the sprayer to manufacture a shade.
To keep the noise and dust pollution under prescribed limits, a sprayer can be used for a maximum of 20 hours per day while cutting and grinding machine can be used for a maximum of 12 hours per day. The profit from the sale of a lamp is ₹5 and that from sale of a shade is ₹3. Assuming that manufacturer can sell all the pedestal lamps and shades that are made, how should he schedule his daily production to maximise profit? Make it as an L.P.P. and solve it graphically. Which value is indicated in the above question?
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