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This question can be answered either with respect to English or with respect to a language other than English. (If you you are not a native speaker of the language of your choice, make sure to check the grammaticality of your example with someone who is.) Find at least two negative polarity items in the language. If the language you choose is English, you cannot use any of the NPIs that were given in class. For each NPI, give a literal as well as an idiomatic English translation, and demonstrate that it is in fact an NPI by showing that it is ungrammatical in 'positive' sentences, but grammatical in 'negative' ones (i.e., sentences that contain the equivalent of the word not). In addition, for each NPI test whether it can be licensed by downward entailing quantifiers (such as no, (very) few or at most five) as well as by other contexts in which NPIs can appear (such as questions, conditional clauses, superlatives, comparatives, etc.) For each NPI you should test at least five different NPI licensers (quantifiers and/or constructions). Remember that originality in your selection of examples will be rewarded.
Summarize your results, noting any differences between your five NPIs, and anything else in your findings that was unexpected.
solve the primal problem using duality and determine the primal and dual solution P= 300x1 + 300x2 S.T. 2x1 + 3x2 => 13 3x1 = 2x2 => 15 x1,x2 => 0
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