美国的一道题不知怎么做Cobalt, which is not produced in the US, is essential to a number of industries. (Defense accounted for 17% of the cobalt production in 1979.) Most cobalt comes from central Africa, a politically unstable region. The Strategic and Critical Materials Stockpiling Act of 1946 requires a cobalt reserve that will carry the US through a three-year war. The government built up a stockpile in the 1950s, sold most of it off in the early 1970s, and then decided to build it up again in the late 1970s, with a stockpile goal of 85.4 million pounds. About half of this stockpile had been acquired by 1982. ) i2 A; U$ R( x% Z. U Y3 J" J% P9 n
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Build a mathematical model for managing a stockpile of the strategic metal cobalt. You will need to consider such questions as: - x6 @8 n( O( r" V
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How big should the stockpile be? ' w3 H4 _ a S9 x% c# aAt what rate should it be acquired? ' U! K* P5 p, z- _- M/ FWhat is a reasonable price to pay for the metal? : F$ I# A( W. m) N! w( pYou will also want to consider such questions as: + z# G4 _/ ?/ V! B% i5 U* Z 7 ?5 s- ^) H3 `At what point should the stockpile be drawn down? / n9 i+ B8 n4 y# O# T5 IAt what rate should it be drawn down? ; k7 S6 i/ d" ?5 n: CAt what price is it reasonable to sell the metal? - A9 V( B$ B0 M' H' ~How should it be allocated? $ `; Z! K! o8 R: N% B3 H. N9 L5 V& DUseful Information on Cobalt $ {/ r4 W/ d& [# M* n' j) Q" q4 u# k, G3 s: i
The government has projected a need ot 25 million pounds of cobalt in 1985. / ]5 V7 ]4 K# Q0 s 3 Q E7 h) s* C, _The U.S. has about 100 million pounds of proven cobalt deposits. Production becomes economically feasible when the price reaches $22/lb (as occurred in 1981). It takes four years to get operations rolling, and thsn six million pounds per year can be produced. 1 N- F8 i4 M0 X% E 1 |6 j. K" A k6 u/ zIn 1980, 1.2 million pounds of cobalt were recycled, 7% of total consumption.