题目内容

They regularly charge $29 per month but, when you land on their page for the first time, you see a coupon code for a free week _________ in one hour.

A. to expire
B. that expires
C. expires
D. expiring

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_________ that the patients have some disabilities, we still try to enable them to be as independent as possible.

A. To give
B. Giving
C. Given
D. Be given

_________ stores have established trust through positive retail experiences, customers are more inclined to return.

A. Even if
B. As for
C. While
D. Once

It is a big problem _________ a comprehensive solution, and still there is no 100 percent solution.

A. requiring
B. that require
C. required
D. which require

假如你管理着一家大规模生产发动机的工厂。生产技术由此生产函数给出：Q=5KL，这里，Q是每周生产出的发动机，K是机器数量，L是劳动生产组的数量。租用一台机器每周为10000元，每周每个生产组的劳动力成本为5000元。发动机的成本为劳动和机器成本之和，外加其他原材料成本2000元。（1）写出发动机产量为每周250台时的等产量曲线表达式。（2）写出等产量曲线的边际技术替代率表达式。（3）写出每周生产成本为102000元时的等成本线方程式。（4）计算每周生产250台发动机时的最佳劳动生产组和机器数量，及相应的最小成本。（5）计算当每周生产成本限定为102000元时所能生产出的最大发动机数量，并计算此时所投入的劳动生产组和机器数量。