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. % d0 n2 o# \; B# f4 Q7 R) ?1 U8 V/ M5 p8 l* {1 i5 {! ^$ J
Build a mathematical model for managing a stockpile of the strategic metal cobalt. You will need to consider such questions as: * A+ c3 h% `. X O) B
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How big should the stockpile be? % p- _8 ?7 [9 @
At what rate should it be acquired? # j b, z/ I3 E- C8 E* |
What is a reasonable price to pay for the metal? ) Q1 s/ u3 ?) W3 H- sYou will also want to consider such questions as: + J+ _0 e+ b* ~4 R$ d M ) n/ D9 p1 B: R1 P- z' v0 gAt what point should the stockpile be drawn down? " ^ e: v. O: Y" D GAt what rate should it be drawn down? # S7 V/ d6 o0 ]1 z: q7 Z
At what price is it reasonable to sell the metal? 9 O. c0 X9 U% D% R# L1 cHow should it be allocated? 1 e4 y$ J/ r' T, K8 N* Y. k' BUseful Information on Cobalt 2 ]" v I( l. M0 y& h . }7 x, `& x/ s$ N0 ]+ x5 i% rThe government has projected a need ot 25 million pounds of cobalt in 1985. " F$ X( V/ p9 S7 c/ ?& P
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The U.S. has about 100 million pounds of proven cobalt deposits. Production becomes economically feasible when the price reaches $22/lb (as occurred in 1981). It takes four years to get operations rolling, and thsn six million pounds per year can be produced. : I$ m- n, i$ p& b: @
: [: E( A% X! u) x7 iIn 1980, 1.2 million pounds of cobalt were recycled, 7% of total consumption.
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