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 y! I: C3 ]$ c# a3 ?6 `' b! }. G( w% \2 ~& b
Build a mathematical model for managing a stockpile of the strategic metal cobalt. You will need to consider such questions as: " R6 Z) D }" t2 [7 q9 O3 @/ @2 _. k0 D* Z' \ @ ~
How big should the stockpile be? " M% Q& K, n' T, v+ IAt what rate should it be acquired? 2 i5 v4 o; ]' ^5 z2 D3 S7 y9 _0 u
What is a reasonable price to pay for the metal? 9 m8 V/ U# o a) J; u IYou will also want to consider such questions as: " Z' e7 W$ A( c4 Y# i
( }- K+ q! Q6 L! {+ V |' u+ DAt what point should the stockpile be drawn down? 0 B$ ?+ j! y3 H o d1 i7 gAt what rate should it be drawn down? v( a6 F/ g" dAt what price is it reasonable to sell the metal? 6 |: f8 Z' g" Q0 SHow should it be allocated? + r1 a" X3 g) m# @+ _
Useful Information on Cobalt $ A, i/ y1 M6 K
9 s' l% @! G+ N4 @The government has projected a need ot 25 million pounds of cobalt in 1985. 3 i& e3 t7 y# g& L" p' U
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The U.S. has about 100 million pounds of proven cobalt deposits. Production becomes economically feasible when the price reaches $22/lb (as occurred in 1981). It takes four years to get operations rolling, and thsn six million pounds per year can be produced. " S1 _$ k4 U+ w. S% A
8 q* {# z0 s% B0 xIn 1980, 1.2 million pounds of cobalt were recycled, 7% of total consumption.
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