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. 5 V5 G! _9 q% E& t/ H) Z8 z
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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: , w* Y7 N9 `2 W7 ~) _) w2 X
4 X# D1 n. K4 P' X* V/ `, `How big should the stockpile be? & U2 P4 Z3 L7 k. d$ [* ?, E8 j
At what rate should it be acquired? ' |2 R3 v$ d4 ]; GWhat is a reasonable price to pay for the metal? $ f1 F L: k$ A# o+ N7 i
You will also want to consider such questions as: + I7 w1 o2 U" ]; J& D 1 s& X8 b+ } B( z8 nAt what point should the stockpile be drawn down? 1 f1 E: Q) v; o" }
At what rate should it be drawn down? " m) f% a2 s( u3 A8 G
At what price is it reasonable to sell the metal? 9 J7 E% i% w& _: g6 DHow should it be allocated? & {* D4 q" U3 x9 q& H5 {Useful Information on Cobalt . O3 w W) B9 T" Y0 s0 |2 L5 U9 b5 I8 x r7 d" s7 ?. Z
The government has projected a need ot 25 million pounds of cobalt in 1985. ! S* v# g" Z0 L7 q% r% `6 r' ^
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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. ' M) A T7 t+ A: k% } & O9 e; h8 f2 S6 WIn 1980, 1.2 million pounds of cobalt were recycled, 7% of total consumption.