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The accompanying table shows how total donations, average donations, total labor costs and average labor costs vary depending on the number of employees State U hires for its fundraising activities. Complete the following:
Number of Employees | Total Donations | Marginal Benefit | Average Donations | Total Labor Costs | Marginal Cost | Average Labor Costs |
1 | $30,000 | $30,000 | $8,000 | $8,000 | ||
2 | $42,426 | $12,426 | $21,213 | $17,000 | $9,000 | $8,500 |
3 | $51,963 | $9,537 | $17,321 | $27,000 | $10,000 | $9,000 |
4 | $60,000 | $8,037 | $15,000 | $38,000 | $11,000 | $9,500 |
5 | $67,080 | $7,080 | $13,416 | $50,000 | $12,000 | $10,000 |
Complete the following:
- Calculate the total value of donations raised by three employees, and explain the method you used to make this calculation.
- Calculate the total labor cost with four employees, and explain the method you used to make this calculation.
- Analyze the relationship between average benefits and average costs by filling in the blanks in the following statement:
- If the President of State U decides to hire fundraising employees as long as their average benefit exceeds their average cost, then this results in ________ employees being hired and a net benefit (total donations minus total labor costs) of ________.
- Evaluate the marginal benefit (in terms of extra donations) of the 2nd employee.
- Explain how the marginal cost of the 4th employee will increase the total labor cost.
- Determine when the net benefit of hiring fundraisers is the largest.
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