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. 6 U: o) {5 h! W' K2 l
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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: 6 Z$ l ?4 q: [3 d8 f5 Z$ E9 N# T: q
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How big should the stockpile be? / e1 V( _# h& \+ Y, \! p! ?
At what rate should it be acquired? # K7 M/ a: n3 K4 X5 u W2 z- K9 G$ e( vWhat is a reasonable price to pay for the metal? ) ~. D) \! f7 F8 C; _" m8 k: wYou will also want to consider such questions as: " u% U, _1 D/ n( l3 z) j( a" E+ p/ Y
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At what point should the stockpile be drawn down? 5 e; O" s% @ R. G7 `At what rate should it be drawn down? $ k7 n9 |: e1 I8 n! d; q# Q# r
At what price is it reasonable to sell the metal? 1 s; M8 j% Z. y# J" H( RHow should it be allocated? ) B, A! L5 T# z/ n9 I0 w7 \' z
Useful Information on Cobalt , V/ C& u! J6 r, _4 s6 h3 W
1 L8 N3 D3 f' L4 Y; b" z. A' yThe government has projected a need ot 25 million pounds of cobalt in 1985. # s2 D: b5 }' f9 Y $ q. l) _/ z: f* L+ SThe 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. 8 s6 c: H9 C3 U1 e/ }+ g1 y" m X3 g
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In 1980, 1.2 million pounds of cobalt were recycled, 7% of total consumption.
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