题干

某商场销售一批名牌衬衫,平均每天可售出20件,每件盈利40元,为扩大销售增加盈利,尽快减少库存,商场决定采取适当的降价措施,经调查发现,如果每件衬衫每降价一元,市场每天可多售2件,问他降价多少元时,才能使每天所赚的利润最大?并求出最大利润.

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答案(点此获取答案解析)

解:设每件衬衫应降价x元,利润为w元,

根据题意,商场降价后每天盈利=每件的利润×卖出的件数,

则有w=(20+2x)(40﹣x)

=﹣2x2+60x+800

=﹣2(x﹣15)2+1250

即当x=15时,w有最大值,为1250,

答:每件衬衫应降价15元,可获得最大利润,最大利润为1250.

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    In recent years, remote-sensing technologies have become ordinary in archaeological fieldwork(实地考察). Such tools for excavation produce rapid results and cause no damage to archaeological sites. They are highly accurate and usually cost effective. Here are three of the modern archaeologist's most trusted remote-sensing tools.

    As the simplest of the remote-sensing techniques that archaeologists use, aerial(空中的)photography allows experts to see aspects of a site that may be invisible from the ground, such as the way in which something such as a town, garden, or building is arranged and traces of old walls and roads. The technique involves taking photographs with conventional cameras and filming from airplanes, helicopters, hot-air balloons, or other airborne vehicles.

    Geographic Information System (GIS) contains a large amount of field data archaeologists typically collect in and around excavation sites. While in the field, archaeologists use GIS on their computers to make and manage detailed site maps, and they can combine the results of remote-sensing tests with maps of the region created with the aid of Global Positioning System. Resulting maps sort the most archeologically promising areas and display these sites three-dimensionally.

    Ranging in size from small handled models that one places against the ground to larger ones that one across a site, Ground Penetrating Radar (GPR) devices use low-power radio waves to detect changes underground. Unlike traditional radar, which broadcasts into the air and uses a dish to focus the returned waves, GPR uses a small but sensitive receiver placed directly against the ground. Depending on their needs, archaeologists can adjust radio frequencies upward for shallow sites or downward for deeper areas, though GPR devices produce the greatest definition(清晰度)when reading depths of three feet or less.