To reduce shipping distances between the manufacturing facilities and a major consumer, acomputer brand, intends to start production of a new controlling chip for Pentium III mi-croprocessors at their two Asian plants. The cost of producingx1chips at India isC1=0.002x21+ 4x1+ 500,and the cost of producingx2chips at Singapore isC2= 0.005x22+ 4x2+ 275.The Indian computer manufacturer buys them for $150 per chip. Find the quantity that shouldbe produced at each Asian location to maximize the profit if, in accordance with Intel’s mar-keting department, it is described by the expression:P(x1, x2) = 150(x1+x2)−C1−C2.2.
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