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Micromedia offers computer training seminars on a variety of topics. In the semi

ID: 413713 • Letter: M

Question

Micromedia offers computer training seminars on a variety of topics. In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting. Micromedia is currently planning a two-day seminar on the use of Microsoft Excel in statistical analysis. The projected fee for the seminar is $600 per student. The cost for the conference room, instructor compensation, lab assistants, and promotion is $9600. Micromedia rents computers for its seminars at a cost of $120 per computer per day. Develop a model for the total cost to put on the seminar. Let .v represent the number of students who enroll in the seminar. Develop a model for the total profit if x students enroll in the seminar. Micromedia has forecasted an enrollment of 30 students for the seminar. How much profit will be earned if their forecast is accurate? Compute the breakeven point

Explanation / Answer

Given fixed cost = $9600

Unit Variable cost = $120 per computer per day

Revenue = 600 per student

Total cost = Fixed cost + Total variable cost

Total variable cost = Unit variable cost*No of students* no of days = 120*2*v

v = number of students who enroll in the seminar

Total cost = 9600 + 240v

Profit = (Revenue-Unit variable cost)*Quantity - Fixed cost

Quantity = number of students who enroll in the seminar = x

Profit = (600-120)*x - 9600

Profit = 480x - 9600

If number of students who enroll in the seminar x=30

Profit = (600-120)*30 - 9600 = 4800

Profit = 4800

Break even point = Fixed cost/(Revenue-variable cost) = 9600/(600-120) = 20

Break even point = 20 students