If a company employs n salespersons, its gross sales in thousands of dollars may be regarded as a random variable having a gamma distribution with 80n and 2 If the sales cost is $ 8,000 per salesperson, how many salespersons should the company employ to maximize the expected profit ...

If a company employs n salespersons, its gross sales in thousands of dollars may be regarded as

Question:

If a company employs n salespersons, its gross sales in thousands of dollars may be regarded as a random variable having a gamma with α = 80√n and β = 2. If the sales cost is $ 8,000 per salesperson, how many salespersons should the company employ to maximize the expected profit?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...