作者TACO0526 (离开)
看板trans_math
标题[考古] 高大94.96年
时间Mon Jul 7 14:42:50 2008
1.
John拟於下月1日向某车商购智一辆新车，车商现有两种优惠方案，一为现金价:
按原定价P元折抵x元(x<P)，一次付清；二为五年低利(年利率r)分期付款:依定价P元计算
，每月底还款y元，试问John应如何比较此两方案以节省荷包(假设五年内市场年利率维持
固定为i，且i>r)
2.
一购屋者计画购买依现值总价L元之新屋，此购屋者准备了x元(x<L)之头期款，其余不足
款项将向银行办理年利率为r之方屋贷款，自缴交头期款并同时办理房贷後的第一个月开
示共计N年贷款，每月还款支付本息摊提固定金额F元予银行，请列式说明以上各变数间
之关系为何?
3.
The Cobb-Douglas production function for a particular manufacturer is given
by f(L,K)=L^0.25K^0.75,where L represents the units of labor(at $100/unit)
and K represents capital (at $150/unit).Find the maximum production level
if the total cost of labor and capital is limited to $6400.
4.
A store sells 20 bicycles per week at a price of $400 each.the manager estimates
that for each $10 price reduction she can sell two more bicycles per week.The
bicycles cost the store $200 each.
(a)Find the demand function for this store.
(b)Find the price of rhe bicycles and quantity that maximize profit.
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