# Disney and Dreamworks Internships

## Paid Internship

Two large animation companies, Disney and Dreamworks, are both offering paid internships for first year university Art majors located in New York. The paid internships have terms with varying lengths that can last anywhere from one week to a 52 week (year-long) term, based on the preference of the intern. Both companies and their internships are located in Los Angeles.

## Amelie's Goal

Amelie has an undetermined length of internship, and her goal is to find out which internship is better at which time, this in terms of 'better' being a greater amount of money earned in the same period of time.

## Amelie's Options

Amelie is a first year university Art major living in New York, therefore following the criteria of Disney and Dreamworks' internships. She has the decision to choose between Disney, which provides a budget of \$2500 for the term and a salary of \$280 per week. Or, Dreamworks, which has a salary of \$480 per week, but no provided budget, resulting in a debt of \$2500.

## Disney

Disney offers a paid internship program where all interns are provided with free accommodations and a leisure budget of \$2500 at the start of their term regardless of the length of their internship. Their salary is \$14 per hour. As all interns are required to work a certain amount of time per week, 4 hours per day, and 5 days a week, the weekly salary is \$280 per week.
This table displays the amount of money earned by an intern of Disney for the first five weeks of service. The x variable, T, represents time (weeks), while the y variable or E represents the earnings(\$).
This graph displays a visual and graphed display of the data in the table, except in the graph the range the of data is increased to be inclusive of 52 weeks, rather than 5 weeks, resulting in the increase of the amount of money earned being increased from \$3900 to \$15160.

## Disney Equation (e=280t+2500)

Therefore, by looking at the data provided in the table, the graph and otherwise we can create the equation of the earnings of a Disney intern. If e represents earnings (\$) and t represents time (weeks) the equation of the earnings of a Disney intern would be e=280t+2500. This is because at the start of the intern's term, they already have earnings of \$2500 as a budget, and they then have a weekly salary of \$280 per week. Therefore their total earnings, e, are equal to \$280/week plus an original amount of \$2500.

## Disney Statement

In conclusion, for a Disney intern, at the start of their internship, they would already have earnings of \$2500, due to a leisure budget provided by the company. Their consistent earnings would be a salary of \$280 per week. Therefore an equation of e=280t+2500 where e is earnings and t is time.

## Dreamworks

Dreamworks offers a paid internship where all interns have to pay Dreamworks for accommodations, rather than it being provided for free, resulting in a debt of \$2500 at the start of their internship term. The salary for Dreamworks is \$24 per hour. As all interns are required to work 4 hours per day, and 5 days a week, the weekly salary is \$480 per week.
This table displays the amount of money earned by a Dreamwork intern after the first six weeks of work. The x variable, T, represents time (weeks), while the y variable or E represents the earnings(\$).
This graph shows a visual display of the data. Rather than six weeks, as in the table, the range the of data is increased in the graph to be inclusive of 52 weeks, also resulting in the increase of the amount of money earned being increased from \$380to \$24960.

## Dreamworks Equation (e=480t-2500)

Consequently, if we examine the data provided in the table, the graph and otherwise we can create an equation of the earnings of a Dreamworks intern. If e represents earnings (\$) and t represents time (weeks) the equation of the earnings of a Dreamworks intern would be e=480t-2500. This is because at the start of the intern's term, they already have a debt of \$2500, and they then have a weekly salary of \$480 per week. Therefore their total earnings, e, are equal to \$480/week but originally of -\$2500.

## Dreamworks Statement

In conclusion, for a Dreamworks intern, at the start of their internship, they would already be in a debt of \$2500, due to an accommodation fee required by the company. This debt would require the intern approximately 5 and 1/2 weeks to pay off. Therefore they would truly start 'earning' money after that time. Their consistent earnings would be a salary of \$480 per week. Therefore an equation of e=480t-2500 where e is earnings and t is time.

## Disney and Dreamworks Linear System

Here is a graph portraying both companies, and the earnings their interns would have from a range of time up until 52 weeks. The red line represents Disney, while the green line represents Dreamworks.

## Linear System

Up until the point of 25 weeks of internship, Disney has a greater amount of money earned in the same amount of time as Dreamworks. And after 25 weeks, Dreamworks has a greater amount of money earned in the same amount of time as Disney. At 25 weeks, both companies have the same amount of money earned in the same amount of time.

## Summary Statement

If Amelie were to choose between interning at Disney or Dreamworks, the answer would vary depending on the length of the internship she hopes to perform. If she plans on interning at a company for less than 25 weeks, Disney would be the better option. This is because in all the time before 25 weeks, an intern at Disney would have total earnings greater than an intern that has been working at Dreamworks for the same amount of time. Although, if Amelie were planning on interning at either company for over 25 weeks, Dreamworks would be the better option. This is because in all the time after 25 weeks, an intern at Dreamworks would have total earnings greater than an intern that has been working at Disney for the same amount of time. Yet, if Amelie plans on working for exactly 25 weeks, her choice can go either way, as at this point an intern at Dreamworks and Disney would have the same amount of total earnings while having had worked the same amount of time. This can be proven by substituting 25 into t for either equation which would result in \$9500.The break-even point in the data is \$9500 earned for both options at 25 weeks for both.