某商店經(jīng)銷一種奧運紀(jì)念品,據(jù)預(yù)測,在元旦后的20天內(nèi)的每天銷售量(件)與價格(元)均為時間
t(天)的函數(shù),且第
t天的銷售量近似滿足
g(
t)=80-2
t(件),第
t天的價格近似滿足

(元).
(1)試寫出該紀(jì)念品的日銷售額
y與時間
t(0≤
t≤20)的函數(shù)關(guān)系式;
(2)求該紀(jì)念品的日銷售額
y的最大值與最小值.
(1)同解析,(2)日銷售額y最大為1225元;最小為600元
(1)
=
(2)當(dāng)0≤
t<10時,
y的取值范圍是[1200,1225],在
t=5時,
y取得最大值為1225;
當(dāng)10≤
t≤20時,
y的取值范圍是[600,1200],在
t=20時,
y取得最小值為600.
∴第5天,日銷售額
y取得最大,為1225元;
第20天,日銷售額
y取得最小,為600元.
答:日銷售額
y最大為1225元;最小為600元.
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