[考古] 高大94.96年
1.
John擬於下月1日向某車商購智一輛新車，車商現有兩種優惠方案，一為現金價:
按原定價P元折抵x元(x<P)，一次付清；二為五年低利(年利率r)分期付款:依定價P元計算
，每月底還款y元，試問John應如何比較此兩方案以節省荷包(假設五年內市場年利率維持
固定為i，且i>r)
2.
一購屋者計畫購買依現值總價L元之新屋，此購屋者準備了x元(x<L)之頭期款，其餘不足
款項將向銀行辦理年利率為r之方屋貸款，自繳交頭期款並同時辦理房貸後的第一個月開
示共計N年貸款，每月還款支付本息攤提固定金額F元予銀行，請列式說明以上各變數間
之關係為何?
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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