In: Economics
Let’s examine the history of LSUS undergraduate enrollment vs. its tuition and fees. Download the “A3Q1 LSUS enrollment data” Excel file (in CSV format if you don’t have Excel); in it you will see historical information on LSUS undergraduate enrollment, total credit hour production, and tuition and fees. (If you wish, you can verify or look up additional information here, here, and here.)
Calculate annual elasticities for both types of quantity variables (i.e., you will have an elasticity of price vs. headcount, and one of price vs. credit hour). You will get an error message in your calculations when the tuition doesn't change from 2006-2007 and 2016-2017, since the elasticity calculation will be trying to divide by zero; just delete those error values in your Excel table so that the cells are blank. The first headcount elasticity will be calculated based on the 2004 and 2005 values of tuition and headcount and should be about 0.159; the first credit hour elasticity will also be based on the 2004 and 2005 values and should be about -0.348). Calculate the average annual elasticity for headcount (from 2004-2017), and the average annual elasticity for credit hour (from 2004-2017).
Many administrators argue that, to increase revenue to LSUS to cover budget shortfalls, tuition should be raised. Comment on this suggestion, using the evidence you’ve uncovered.
Year | undergrad enrollment | total LSUS credit hour production | undergrad tuition and fees | ||
2004 | 3,910 | 101,868 | $1,545 | ||
2005 | 3,940 | 100,181 | $1,621 | ||
2006 | 3,594 | 92,486 | $1,667 | ||
2007 | 3,556 | 92,123 | $1,667 | ||
2008 | 3,903 | 94,639 | $1,751 | ||
2009 | 4,220 | 101,972 | $1,867 | ||
2010 | 4,058 | 98,137 | $2,062 | ||
2011 | 4,134 | 98,372 | $2,247 | ||
2012 | 4,124 | 93,163 | $2,472 | ||
2013 | 3,674 | 85,292 | $2,803 | ||
2014 | 3,202 | 87,907 | $3,084 | ||
2015 | 2,775 | 91,021 | $3,355 | ||
2016 | 2,587 | 94,077 | $3,417 | ||
2017 | 2,637 | 115,340 | $3,417 |
To calculate elasticity of demand we will use the following formula
PE = (ΔQ/ΔP) * (P/Q)
where
P = Price
Q = Quantity
P = Change in price
Q = Change in quantity
The calculations are shown in excel sheet below
Elasticity for price vs headcount
Elasticity for price Vs credit hour
Average annual elasticity can be calculated using average of these elasticity. Since elasticity of 2017 and 2007 is undefined so we don't include them in our solution
Average annual elasticity of price vs head count = -0.7546
Average annual elasticity of price vs credit hour = -0.0752
As we can see that the elasticity is less than -1 which means that for both head count and credit hour the decrease in the number is less then 1% when the price increase by 1%. Thus, the demand is inelastic and hence management can increase revenue by increasing the tuition fee.