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Consider a scenario in which state colleges must actively recruit students. California Sci has \(\$ 750,000\) in assets available. Its Board of Regents has to consider several options. The board may decide to do nothing and put the \(\$ 750,000\) back into the college operating budget. They may directly advertise, spending \(\$ 250,000\) of the assets for an aggressive social media email campaign for both in- and out-of-state students. This campaign has a \(75 \%\) chance of being successful. The college defines successful as "bringing in" 100 new students at \(\$ 43,500\) a year in tuition. The Board of Regents was approached by a marketing firm expert in social media advertising. For an additional cost of \(\$ 150,000\), the marketing firm will create a stronger social media strategy. The marketing firm boasts a \(65 \%\) chance of favorable results. If successful, there is a \(90 \%\) chance that the advertising will raise the number of new students from 100 to about 200\. If not successful, there will be only a \(15 \%\) chance that it will raise the number of new students from 100 to about 200 . If the college wants to maximize its expected asset position, then what should the Board of Regents do?

Step by step solution

01

Analyzing Direct Advertising Option

First, calculate the expected value of simply spending \(250,000 on advertising. With a 75% success rate, this strategy could draw in 100 students at \)43,500 each. Therefore, the expected revenue if successful is: \[ 0.75 \times (100 \times 43,500) = 3,262,500 \] The expected value considering the unsuccessful chance of 25% bringing no additional students is: \[ 3,262,500 + (0.25 \times 0) = 3,262,500 \] Then, subtract the cost of the campaign: \[ 3,262,500 - 250,000 = 3,012,500 \] Thus, the expected net gain from direct advertising alone is $3,012,500.

02

Analyzing Marketing Firm Option

Next, consider the option of hiring a marketing firm for an additional \(150,000, making the total cost \)400,000. With the firm, there's a two-part probability. If the firm is successful (65% probability), there's a 90% chance of 200 students coming: \[ 0.65 \times 0.90 \times (200 \times 43,500) = 5,083,500 \] If successful but failing to hit 200 students, there's a 10% chance of getting only 100 students: \[ 0.65 \times 0.10 \times (100 \times 43,500) = 2,827,500 \] If the firm isn't successful (35% probability), a 15% chance still exists for 200 students: \[ 0.35 \times 0.15 \times (200 \times 43,500) = 456,750 \] Thus add these outcomes together: \[ 5,083,500 + 2,827,500 + 456,750 = 4,773,750 \] Then subtract the marketing campaign cost: \[ 4,773,750 - 400,000 = 4,373,750 \] The expected net gain with the marketing firm is $4,373,750.

03

Comparing Options and Making a Decision

Now, compare all expected net gains. Without any advertisements, no new students or revenue will be generated so the earnings remain at $750,000. For direct advertising, the expected net gain is $3,012,500, while hiring the marketing firm yields an expected net gain of $4,373,750. The Board of Regents should choose the option yielding the highest expected net gain, which is the marketing firm's strategy.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Expected Value Analysis

Expected value analysis is a powerful statistical tool that helps in decision-making, especially when outcomes are uncertain. In the scenario involving California Sci and their recruitment efforts, expected value analysis guides the Board of Regents in selecting the strategy that could most benefit the college financially.

When conducting expected value analysis, you first identify all possible outcomes of a decision and assign probabilities to these outcomes based on their likelihood. Then, you calculate each outcome's financial impact. Finally, you sum these weighted values to get the expected value.

• Success or failure in recruiting new students is represented by probabilities.
• The potential number of new students and the tuition fees provide the financial impact.

This calculated expected value serves as a benchmark for decision-making. In this exercise, the board uses expected value calculations to analyze two strategies—direct advertising and hiring a marketing firm—to determine which offers the greatest financial benefit. Only after this analysis can they make an informed decision, factoring in the costs and potential revenue from new students.

Student Recruitment Strategies

Student recruitment is crucial for institutions like California Sci as it directly impacts revenue through tuition fees. In today's competitive education environment, colleges need effective strategies to attract students.

The exercise explores two primary strategies:

• **Direct Advertising Strategy**: This involves spending a set sum on advertising, particularly through aggressive social media outreach. The effectiveness of this strategy depends on its ability to attract a certain number of new students.
• **Enhanced Strategy with a Marketing Firm**: Here, California Sci considers hiring outside expertise to bolster its recruitment efforts. While this comes at an additional cost, the potential payoff is greater due to possibly attracting more students.

Colleges analyze several components when devising their student recruitment strategies, including target demographics, marketing channels, and cost effectiveness. The exercise uses these analyses to quantify each approach's potential success, underscoring the importance of crafting a strategy that aligns well with both the institution's budget and student acquisition goals.

Budget Allocation

Budget allocation in educational institutions involves determining where to best utilize financial resources to achieve strategic goals. This exercise illustrates the significant impact that smart budget allocation can have on a college's operating budget and overall success.

Notably, California Sci's Board of Regents must decide how to allocate their available $750,000. The options include returning funds to the college's operating budget or investing in student recruitment to potentially generate more tuition revenue.

Effective budget allocation considers:

• The potential return on investment (ROI) for different expenditures.
• Weighing the benefits of current revenue versus future revenue generation.

By using their budget to fund potential strategies to recruit students, the college might significantly boost revenue, above and beyond the original investment. This underscores why an in-depth analysis of expected returns from different allocation options is essential for financial sustainability and growth in educational institutions.