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IB MAI HL Calculus Topic 5.2 Integration (id: ff471154a)

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admin 发表于 2024-3-19 14:42:33 | 显示全部楼层 |阅读模式
本题目来源于试卷: IB MAI HL Calculus Topic 5.2 Integration,类别为 IB数学

[填空题]
Bellatrix Aviation manufactures bu .av:gtke l/7eo iyx6, q*u+zrg(c.a . )45 wofrosexdsiness jets. The profit the company makes, P , in millions of dollars, changes based on the number of jets, x , they manufc ..)fwd(5ro4e asoxgacture per quarter.
The rate of change of the profit made from manufacturing x jets is modelled by

$\frac{\mathrm{d} P}{\mathrm{~d} x}=-0.4 x+16, \quad x \geq 0 $.


In the previous quarter, the company made a profit of 165 million dollars from manufacturing 20 jets.
1. Find an expression for P in terms of x .Therefore we obtain P= $-{a}x^2 + b x - c$;a=  ,b=  ,c=  .

The company has the capacity to increase the number of jets they manufacture.
2. Describe how the profit changes if the company increases manufacturing to over 40 jets per quarter and up to 75 jets per quarter.




参考答案:
空格1: 0.2空格2: 16空格3: 75


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