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IB MAI HL Calculus Topic 5.2 Integration (id: 458035f81)

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admin 发表于 2024-3-19 15:07:43 | 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]
BioNature Inc. is considering the monthly co5zqrr0t7ufzu- 9 s po5st of ck ;3s)xxnfp0 oonj 79producing straws made from paper. It is estimated that the rate of change in monthly cost with respect to the number ofcsoxxn ;knf73j 0) 9po paper straws produced is modelled by

$C^{\prime}(q)=0.006 q^{2}-0.48 q-12, \text { for } q>0$

Where the monthly cost, $ \$ C$ , is in thousands and the number of straws, q , is also in thousands.
1. Find the number of paper straws that the company should produce in a month to minimize the cost.

The company produces 110000 paper straws with a cost of $\$ 88000$ in a certain month.
2. Find an expression for C in terms of q ;we obtain C(q)=$0.002 q^{3}-aq^{2}-12 q+b$;a=  ,b=  




参考答案:
空格1: 0.24空格2: 1650


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