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. 1 ?: d5 R# C7 A
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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: 9 k$ G2 C5 S5 A1 Y
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How big should the stockpile be? ( q8 [5 |5 B3 _At what rate should it be acquired? ! @! F0 x* a. xWhat is a reasonable price to pay for the metal? 0 \1 f2 Y8 M0 E& {- eYou will also want to consider such questions as: 5 v3 D, O& K, O4 S [ 9 \7 T# b- L" ]2 `5 _; _1 TAt what point should the stockpile be drawn down? 1 ]' c( B0 _4 T1 L& | `9 C: V
At what rate should it be drawn down? + Y/ c }" ~6 K5 w# J" f4 M0 ]
At what price is it reasonable to sell the metal? ) m) O: \* g- s7 q% m k
How should it be allocated? 6 i6 N: ~2 U4 N9 YUseful Information on Cobalt . @+ m) v8 G$ q b7 x
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The government has projected a need ot 25 million pounds of cobalt in 1985. 0 e% i% u/ O. n$ e% ^/ ] w4 y5 x5 M3 ?5 k: @* B. _
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. 5 z* `7 @, d# d- c( g
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In 1980, 1.2 million pounds of cobalt were recycled, 7% of total consumption.