Section outline

  • To practice a number of different topics covered in this chapter, from plotting points to determining slope, explore the following situation: 
    ::将本章涵盖的若干不同专题付诸实践,从绘图点到确定坡度,探讨以下情形:

    You have designed a new invention, and you're doing some analysis of cost and expenses. You're currently making about $65,000 per year, but you are hoping your new invention will allow you to  double your salary .  
    ::你设计了一个新的发明,你正在对成本和开支做一些分析。你目前每年赚大约65,000美元, 但你希望你的新发明能让你的薪水翻一番。

    lesson content

    You have found that you have to make an initial investment in supplies, plus a certain amount per unit produced. The cost to make 40 units is $10,000, and the cost to make 100 units is $20,500. Your market research also tells you that your price point should be $250 per unit.
    ::您发现,您必须首先在供应品上投资, 加上每生产一个单位的一定数量。 生产40个单位的成本是10,000美元,生产100个单位的成本是20,500美元。 您的市场研究还告诉您, 您的价格点应该是每生产250美元。

    Directions:
    ::方向:

    1. Plot  the expense and the sales costs on the coordinate plane.
      ::在协调飞机上分配费用和销售费用。
    2. Determine the slope of the cost function. Determine the slope of the price  function.
      ::确定成本函数的斜坡。确定价格函数的斜坡。
    3. What was the cost of your initial investment?
      ::你最初投资的成本是多少?
    4. After how many units will you break even?
      ::在你打破多少单位之后,你还要打破多少单位呢?
    5. How many units will you need to sell each year to replace  your current salary?
      ::您每年需要售出多少单位来替换您目前的工资?