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Linear programming solved examples
A caterer known that he will need 40 napkins on a given day and 70 napkins the day after. He can purchase napkins at 20 paise each and after they are purchased , he can have dirty napkins laundered at 5 paise eachfor use next day. In order to minimize his cost how many napkins should be purchased initially and how many dirty napkins should he have lunndered?
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If he buys 70 napkins, he'll have to pay 1400 paise, 40 of which he'll be laundering, costing him 200 paise, for a total of 1600 paise. Now, if he buys 71 napkins, and launders 39 (he's throwing 1 dirty napkin away), he'll be paying a total of 1615 paise. For each additional napkin he buys, he'll pay 15 paise more. So, the minimum remains 70 napkins bought, with 40 laundered. |
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