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. & {) S* c) U2 T9 a5 P5 l& Z. b. ~0 G" _/ M
Build a mathematical model for managing a stockpile of the strategic metal cobalt. You will need to consider such questions as: ' R, X1 D! |6 K4 U1 [ j1 R! V1 K6 J# L0 u
How big should the stockpile be? % k+ g- C( d; L- v; G3 x/ t" k* pAt what rate should it be acquired? 8 p' S1 E* P8 z& x
What is a reasonable price to pay for the metal? ' T- R, @: |5 f7 ?1 v' `1 O0 g
You will also want to consider such questions as: B2 m* t2 O d9 z1 r; u/ Q1 |! D+ o; Q( E
At what point should the stockpile be drawn down? 4 g& R3 ~0 I. d7 T) L+ Z/ ~
At what rate should it be drawn down? ' }7 \9 } ] S" H
At what price is it reasonable to sell the metal? 7 K( G o- o9 w+ A9 ~# Y
How should it be allocated? 0 t+ @% }$ r7 P1 |Useful Information on Cobalt 9 |8 i% m5 [0 X
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The government has projected a need ot 25 million pounds of cobalt in 1985. 6 w0 X" T z! \- U- s5 ]/ T+ V
/ X7 Q$ j# O' y p/ a3 LThe U.S. has about 100 million pounds of proven cobalt deposits. Production becomes economically feasible when the price reaches $22/lb (as occurred in 1981). It takes four years to get operations rolling, and thsn six million pounds per year can be produced. 4 |1 O. n# h R I. W: s# R1 ]
5 L* \; `# W# @$ T( e7 w5 N' _# c$ RIn 1980, 1.2 million pounds of cobalt were recycled, 7% of total consumption.
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