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23. A manufacturer has $200,000 available to spend on development and promotion of their new product. If d thousand dollars are spent on development and

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23. A manufacturer has $200,000 available to spend on development and promotion of their new product. If d thousand dollars are spent on development and p thousand dollars on promotion, it is estimated that sales will be f(d, p) = 100d2p What set of equations must be saisfied by the positive values of d and p that maximize sales? 200dp4 = Ap 200dp4 = > (A) 400d2 p3 = Ad (B) 400d2p3 = > d + p =200 d + p = 200 100d2 p4 = Ad 400d2 p3 - 2001 (C) 100d2p4 = Ap (D) 200dp* = 200 d + p = 200 dp = 200 200dp4 = 0 (E) 400d2 p3 = 0 dp = 200

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