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A division of Chapman Corporation manufactures a pager. The weekly fixed cost for the division is $20,000, and the variable cost for producing x pagers/week is V(x) = 0.000008x3 - 0.07x2 + 30x dollars.
The company realizes a revenue of R(x) = -0.08x2 + 180x (0 </= x </= 7500).
Find the level of production that will yield a maximum profit for the manufacturer.
MEAN VARIANCE PORTFOLIO THEORY HELPProve that if x1, x2 with x1+x2 = 1 give the proportion of wealth invested in two assets that deliver a percentage return R1 and R2 respectively, then the portfolio return is given by R = x1R1 + x2R2
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