110年 - 110 國立政治大學_碩士班招生考試_企業管理研究所乙組(MBA學位學程):微積分#102877

1. (20 points) Evaluate the integral

2. (20 points) Le

where O ＜ that maximizes f(x).

3. (20 points) Find the value of a such that

(a) (15 points) Write down the proft as

Determine C₁, C₂ and C₃.

(b) (25 points) Assumne that the demand has an normal distribution with mean 12,000 and standard deviation 200; the probability density function for a normal distribu- tion with mean u and varianceσ² is
Wite down the expected proft and find the optimal order quantity that maximizes the expected profit.