问题 解答题

某蔬菜基地加工厂有工人100人,现对100人进行工作分工,或采摘蔬菜,或对当日采摘的蔬菜进行精加工,每人每天只能做一项工作,若采摘蔬菜,每人每天平均采摘48kg;若对采摘后的蔬菜进行精加工,每人每天可精加工32kg(每天精加工的蔬菜和没来得及精加工的蔬菜全部售出),已知每千克蔬菜直接出售可获利润1元,精加工后再出售,每千克可获利润3元,设每天安排x名工人进行蔬菜精加工。

(1)求每天蔬菜精加工后再出售所得利润y(元)与x(人)的函数关系式;

(2)如果每天精加工的蔬菜和没来得及精加工的蔬菜全部售出的利润为w元,求w与x的函数关系式,并说明如何安排精加工人数才能使一天所获的利润最大?最大利润是多少?

答案

解:(1)y=3×32x,

∴y=96x;

(2)w=96x+[48(100-x)-32x]×1,

∴w=16x+480,

由题意知:48(100-x)≥32x,解得x≤60,

∵w=16x+4800,k=16>0,

∴w随x的增大而增大,

∴当x=60时,w有最大值,w最大=16×60+4800=5760(元),

∴安排60人进行精加工,40人采摘蔬菜,一天所获利润最大,最大利润5760元。

写作题

阅读下面的短文,然后按照要求写一篇150左右的英语短文。

Insistence or Giving up

There is a battle in our daily life. Two forces are fighting with each other again and again. They never stop until you are buried in the earth. We called them insistence and giving up. They are like twins. One is angle, and the other is a demon..

As we all know, we want to pass the CET-4. So we get our own strategy. First of all, I am bound to master five thousand vocabularies. Second, I will write an article every week which is at least two hundred words. Then I will read at least two English articles, make more friends with foreigners for learning native English, and listening to some English news broadcast every day.

Nevertheless, according to my strategy, the first day, I should wake up at 6 a.m. to memorize at least twenty words. The alarm clock rings for me; I should get rid of my bed in order to study. Suddenly, “Giving up” came and whispered to me. “What about a five-minute prolong sleeping? How soft, comfortable this bed is! But Ms Insistence urged me, “Don’t listen to him; Come on, let’s carry out our plan.” Her voice is sweet, but not what I need.

Time flies! If we can’t seize every opportunity to appreciate time, Mr. Giving up will win all the time. Insistence of your plan, your dream may not be accomplished successfully, but giving up, you are sure to fail in life. (237w)

【写作内容】

有些人做事有时候缺乏持之以恒的毅力。请就“坚持” 还是 “放弃”的话题发表你自己的看法,内容要点包括:

1 以约30个词概括阅读材料的要点;

2 请选择一个角度,用你自己或朋友的经历,以约120个词谈谈自己的观点,内容包括:

1)持之以恒对工作和学习有什么意义;

2)以成功或失败的事例来说明持之以恒的重要性;

3)你对大家的建议是什么。

【写作要求】

在作文中可以使用自己的亲身经历或虚构的故事,也可以参照阅读材料的内容但不得直接引用原文中的句子;作文中不能出现真实姓名和学校名称。

单项选择题