Question

Southeastern Oklahoma State​ University's business program has the facilities and faculty to handle an enrollment of 2,200 new students per semester.​ However, in an effort to limit class sizes to a​ "reasonable" level​ (under 200,​ generally), Southeastern's​ dean, Holly​ Lutze, placed a ceiling on enrollment of 1,600 new students. Although there was ample demand for business courses last​ semester, conflicting schedules allowed only 1,420 new students to take business courses.
What are the utilization and efficiency of this system?

Answer 1

Answer:

a. 0.7273 or 72.73%

b. 0.8875 or 88.75%

Explanation:

a. Utilization rate is the ratio of the amount of installed capacity planned to be used relative to the total installed capacity. This can be stated as follows:

Utilization rate = ICP ÷ TC ......................................... (1)

ICP = Amount of installed capacity planned to be used

TC = Total installed capacity

From the question, ICP = 1,600 while TC = 2,200. Substituting this into equation (1), we have:

Utilization rate = 1,600 ÷ 2,200 = 0.7273 or 72.73%  

Therefore, utilization rate is 0.7273 or 72.73%.

b. Efficiency rate is the ratio of the actual installed capacity used relative to the amount of installed capacity planned to be used. This can be stated as follows:

Efficiency rate = AIC ÷ ICP ......................................... (1)

AIC = Actual installed capacity used

ICP = Amount of installed capacity planned to be used

From the question, ICP = 1,420 while TC = 1,600. Substituting this into equation (1), we have:

Efficiency rate = 1,420 ÷ 1,600 = 0.8875 or 88.75%

Therefore, efficiency rate is 0.8875 or 88.75% .