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It's not letting me submit the answer.
This post has been archived or something else.
Or is it just me?
This should be fixed now. Thank you!
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Number of employees = N
Employees with stock option = N*R/100
Shares per plan = S
Price per share = P

Total number of shares = Employees with stock option * Shares per plan = NR/100 *S = NRS/100

Average price per employee = Total shares * price/Number of employees = (NRS/100 * P)/ (NR/100) = NRSP/NR = SP
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­At a certain corporation, N is the total number of employees. These employees can choose among a variety of benefits packages, and R% of them choose the stock option plan as their benefit package. For each employee in this plan, the corporation annually buys S shares of the company’s stock. Suppose the average price per share of the company’s stock is P.­
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1. First, we need to find just how many shares the company must get each year. R% of N employees choose the stock option, or \(\frac{NR}{100}\) employees. It is known that the company buys S shares for each of these employees, making a total of \(\frac{NRS}{100}\) shares bought.

2. Next, the question asks us to find how much the company gives, in terms of value, to each employee that chooses a stock option. Since each stock costs P and each employee gets S stocks, the monetary value given is SP.

3. Our answer will be: The total number of shares of stock the corporation must buy annually to support this benefit package - NRS/100 and The average monetary value of a single employee’s annual benefit in this plan - SP.
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While calculating the average we should divide by N and not NR/100. Average is to be calculated over all employees
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1. First, we need to find just how many shares the company must get each year. R% of N employees choose the stock option, or \(\frac{NR}{100}\) employees. It is known that the company buys S shares for each of these employees, making a total of \(\frac{NRS}{100}\) shares bought.

2. Next, the question asks us to find how much the company gives, in terms of value, to each employee that chooses a stock option. Since each stock costs P and each employee gets S stocks, the monetary value given is SP.

3. Our answer will be: The total number of shares of stock the corporation must buy annually to support this benefit package - NRS/100 and The average monetary value of a single employee’s annual benefit in this plan - SP.
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need more clarity for second part of the question
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Number of employees = N
Employees with stock option = N*R/100
Shares per plan = S
Price per share = P

Total number of shares = Employees with stock option * Shares per plan = NR/100 *S = NRS/100

Average price per employee = Total shares * price/Number of employees = (NRS/100 * P)/ (NR/100) = NRSP/NR = SP
Bismuth83
­At a certain corporation, N is the total number of employees. These employees can choose among a variety of benefits packages, and R% of them choose the stock option plan as their benefit package. For each employee in this plan, the corporation annually buys S shares of the company’s stock. Suppose the average price per share of the company’s stock is P.­
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Which part

HarshZsssh
need more clarity for second part of the question
ManifestDreamMBA
Number of employees = N
Employees with stock option = N*R/100
Shares per plan = S
Price per share = P

Total number of shares = Employees with stock option * Shares per plan = NR/100 *S = NRS/100

Average price per employee = Total shares * price/Number of employees = (NRS/100 * P)/ (NR/100) = NRSP/NR = SP
Bismuth83
­At a certain corporation, N is the total number of employees. These employees can choose among a variety of benefits packages, and R% of them choose the stock option plan as their benefit package. For each employee in this plan, the corporation annually buys S shares of the company’s stock. Suppose the average price per share of the company’s stock is P.­
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Think of these as numbers
Number of employees = N = 1000
Of these 10% chose stock options
Employees with stock option = N*R/100 = 1000*10% = 100
Shares per plan = S = 20
Price per share = P = 5


So, now the total shares required for the 100 employees
Total number of shares = Employees with stock option * Shares per plan = NR/100 *S = NRS/100 = 100*20 = 2000

Average price per employee = Total shares * Price/Number of employees = (NRS/100 * P)/ (NR/100) = NRSP/NR = SP = 2000*5/100 = 100

Hope this helps!
HarshZsssh
need more clarity for second part of the question
ManifestDreamMBA
Number of employees = N
Employees with stock option = N*R/100
Shares per plan = S
Price per share = P

Total number of shares = Employees with stock option * Shares per plan = NR/100 *S = NRS/100

Average price per employee = Total shares * price/Number of employees = (NRS/100 * P)/ (NR/100) = NRSP/NR = SP
Bismuth83
­At a certain corporation, N is the total number of employees. These employees can choose among a variety of benefits packages, and R% of them choose the stock option plan as their benefit package. For each employee in this plan, the corporation annually buys S shares of the company’s stock. Suppose the average price per share of the company’s stock is P.­
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Hi HarshZsssh!

Let me break down the second part — the average monetary value of a single employee's annual benefit — nice and slow.

The question tells us:
- Each employee in the stock option plan gets S shares of stock per year.
- The average price per share is P dollars.

So the question is simply: what is the dollar value of the shares ONE employee receives?

That's just:

Value = (number of shares per employee) × (price per share) = S × P = SP

That's it! The answer for the Average Monetary Value column is Row 6: SP.

Note that this part does NOT involve:
- It does NOT involve N (total employees), because we only care about ONE employee's benefit.
- It does NOT involve R (the percentage choosing this plan), because we're not counting how many people chose it — we already know the person IS in the plan.

A common trap here is picking RSP/100 (Row 5), which would give the total dollar value across ALL employees in the plan. But the question asks for a SINGLE employee's benefit, so we strip away N and R entirely.

To see how both parts connect:

- Part A (Total Shares): First find how many employees are in the plan: N × R/100. Then multiply by S shares each: NRS/100. This is Row 3.
- Part B (Value Per Employee): Each employee gets S shares worth P each: SP. This is Row 6.

You can even sanity-check: if you multiply Part B (the value per person, SP) by the number of people in the plan (NR/100), you'd get the total cost to the corporation: NRSP/100. That makes sense — total cost = per-person cost × number of people. Everything fits together.

Answer: 3A, 6B
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