In: Statistics and Probability
you will assume your MSRP is always $50.00.
Assumptions:
- Online Retail store
Retail Price:37.50
Your MSRP:50.00
Distributor Cut:20.00 (40%)
Production Cost:27.00
Promotion Cost:0.00
- Department Store
Retail Price:45.00
Your MSRP:50.00
Distributor Cut:22.50 (45%)
Production Cost:27.00
Promotion Cost:0.00
Profit Margin:0.50
- University Store
Retail Price:50.00
Your MSRP:50.00
Distributor Cut:15.00 (31%)
Production Cost:27.00
Promotion Cost:0.00
Profit Margin:8.00
Now assume we sell through all three channels and our total promotion expenses are $6,400. If we assume we consistently sell 50% of our total units sold through the University Store channel, and 25% through the Department Store channel, and 25% through the Online Discount Retailer, what is our Break-even volume, in units?
1,313
4,134
4,467
None of the above
Answer:
Given that,
You will assume your MSRP is always $ 50.00.
Assumptions:
Online Retail store:
Retail Price: 37.50
Your MSRP: 50.00
Distributor Cut: 20.00 (40%)
Production Cost: 27.00
Promotion Cost: 0.00
Department Store:
Retail Price: 45.00
Your MSRP: 50.00
Distributor Cut: 22.50 (45%)
Production Cost: 27.00
Promotion Cost: 0.00
Profit Margin: 0.50
University Store:
Retail Price: 50.00
Your MSRP: 50.00
Distributor Cut: 15.00 (31%)
Production Cost: 27.00
Promotion Cost: 0.00
Profit Margin: 8.00
Now assume we sell through all three channels and our total promotion expenses are $ 6,400.
If we assume we consistently sell 50% of our total units sold through the University Store channel, and 25% through the Department Store channel, and 25% through the Online Discount Retailer,
What is our Break-even volume, in units:
Here, the total profit should be 0.
Total profit = Quantity Profit Margin - Promotional experises
Let quantity = x
50% of sales through the university store channel.
The profit margin of university store channel=8.00
Total profit= 0.5 x 8
=4x
25% through department store channel.
The profit margin of department store channel=0.5.
Total profit= 0.25 x 0.5
=0.125x
25% through online discount retailer.
The profit margin of online discount retailer=3.00
Total profit=0.25 x 3
=0.75x
Total profit of all channels= 4 x+0.125 x+0.75 x
=4.875x
4.875x-6400=0
x=6400/4.875
=1312.82
=1313 (approximately)
Answer: Option(A)