In: Statistics and Probability
Sales and profit forecast based on 3 scenarios. I have read through our material and there is nothing to actually teach us how to do this problem step by step. I am lost. Please help.
Using the information from 2017, create a sales and profit forecast based on each of the following three scenarios:
Scenario 1 (Good Year)
Sales of Service A begin at their December 2017
levels, and increase as they did in 2017, but there is no
seasonality decrease beginning in August, the climb continues
through the end of the year.
Sales of Service B begin at their January 2017
level but increase at twice the pace of 2017.
Sales of Service C begin at their January 2017
level and remain constant throughout the year.
Beginning in August, prices on all services are
raised by 10%
Margins on all products are 10% higher than
2017, and beginning in June margins on service B grow at 2% per
month
Scenario 2 (Average Year)
Product sales levels begin at their December
2017 level, and grow or shrink based on their percentage growth or
reduction from 2017.
All prices remain the same.
Margins on Service A grow by 2%, while margins
on Service B shrink by 1%
Scenario 3 (Poor Year)
Product sales levels begin at their January 2017
level.
Sales of Service A grow at 10% per month until
August, then shrink at 15% per month.
All other sales levels are flat.
Prices for Service A and C are reduced 5% in
March, the price for Service B is reduced 15% in February.
Margins are cut across the board by 5% in
September.
January | February | March | April | May | June | July | August | September | October | November | December | |
Volume | ||||||||||||
Service A | 100 | 120 | 140 | 160 | 180 | 200 | 220 | 200 | 180 | 160 | 140 | 120 |
Service B | 50 | 55 | 60 | 65 | 70 | 75 | 80 | 85 | 90 | 95 | 100 | 105 |
Service C | 75 | 73 | 71 | 69 | 67 | 65 | 63 | 61 | 59 | 57 | 55 | 53 |
Price | ||||||||||||
Service A | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 |
Service B | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 |
Service C | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 |
Margin | ||||||||||||
Service A | 25% | 25% | 25% | 25% | 25% | 25% | 25% | 25% | 25% | 25% | 25% | 25% |
Service B | 32% | 32% | 32% | 32% | 32% | 32% | 32% | 32% | 32% | 32% | 32% | 32% |
Service C | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% |
Profit | $55,750 | $61,150 | $66,550 | $71,950 | $77,350 | $82,750 | $88,150 | $88,550 | $88,950 | $89,350 | $89,750 | $90,150 |
For each of the 3 scenarios, determine the revised Volume, Price and Margin values based on the instructions. It can be verified that the Profit value at bottom, has been calculated for the original table as
Copy the original table in excel, and for each of the scenario, update the Volume, Price and Margin values as per instructions. Set the Profit function to be computed as per the above formula, and that should complete your work. This will ensure that Profit changes as per revised numbers. For the Scenario 1, we obtain following values
Good Year | Jan | Feb | March | April | May | June | July | Aug | Sep | Oct | Nov | Dec |
Volume | ||||||||||||
Service A | 120 | 140 | 160 | 180 | 200 | 220 | 240 | 260 | 280 | 300 | 320 | 340 |
Service B | 50 | 60 | 70 | 80 | 90 | 100 | 110 | 120 | 130 | 140 | 150 | 160 |
Service C | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 |
Price | ||||||||||||
Service A | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $550 | $550 | $550 | $550 | $550 |
Service B | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,200 | $2,200 | $2,200 | $2,200 | $2,200 |
Service C | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $825 | $825 | $825 | $825 | $825 |
Margin | ||||||||||||
Service A | 27.5% | 27.5% | 27.5% | 27.5% | 27.5% | 27.5% | 27.5% | 27.5% | 27.5% | 27.5% | 27.5% | 27.5% |
Service B | 35.2% | 35.2% | 35.2% | 35.2% | 35.2% | 35.90% | 36.62% | 37.35% | 38.10% | 38.86% | 39.64% | 40.43% |
Service C | 22.0% | 22.0% | 22.0% | 22.0% | 22.0% | 22.0% | 22.0% | 22.0% | 22.0% | 22.0% | 22.0% | 22.0% |
Profit | $64,075 | $73,865 | $83,655 | $93,445 | $103,235 | $114,433 | $125,944 | $151,553 | $164,933 | $178,688 | $192,828 | $207,364 |
The calculations for Scenario 2 become more elaborate, since the Volume follows the percentage change. This requires us to calculate the %change for each of the months in 2017, and then apply it to the next year, beginning from Jan value taken as the old Dec value. This gives us
Avg. Year | January | February | March | April | May | June | July | Aug | Sep | October | November | December |
Volume | ||||||||||||
Service A (Old) | 100 | 120 | 140 | 160 | 180 | 200 | 220 | 200 | 180 | 160 | 140 | 120 |
Service B (Old) | 50 | 55 | 60 | 65 | 70 | 75 | 80 | 85 | 90 | 95 | 100 | 105 |
Service C (Old) | 75 | 73 | 71 | 69 | 67 | 65 | 63 | 61 | 59 | 57 | 55 | 53 |
%A | 0.2 | 0.1666667 | 0.1428571 | 0.125 | 0.1111111 | 0.1 | -0.0909091 | -0.1 | -0.1111111 | -0.125 | -0.1428571 | |
%B | 0.1 | 0.0909091 | 0.0833333 | 0.0769231 | 0.0714286 | 0.0666667 | 0.0625 | 0.0588235 | 0.0555556 | 0.0526316 | 0.05 | |
%C | -0.026666667 | -0.0273973 | -0.028169 | -0.0289855 | -0.0298507 | -0.0307692 | -0.031746 | -0.0327869 | -0.0338983 | -0.0350877 | -0.0363636 | |
Service A (New) | 120 | 144 | 168 | 192 | 216 | 240 | 264 | 240 | 216 | 192 | 168 | 144 |
Service B (New) | 105 | 115.5 | 126 | 136.5 | 147 | 157.5 | 168 | 178.5 | 189 | 199.5 | 210 | 220.5 |
Service C (New) | 53 | 51.59 | 50.17 | 48.76 | 47.35 | 45.93 | 44.52 | 43.11 | 41.69 | 40.28 | 38.87 | 37.45 |
Price | ||||||||||||
Service A | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 | $500 |
Service B | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 | $2,000 |
Service C | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 | $750 |
Margin | ||||||||||||
Service A | 25.50% | 25.50% | 25.50% | 25.50% | 25.50% | 25.50% | 25.50% | 25.50% | 25.50% | 25.50% | 25.50% | 25.50% |
Service B | 31.68% | 31.68% | 31.68% | 31.68% | 31.68% | 31.68% | 31.68% | 31.68% | 31.68% | 31.68% | 31.68% | 31.68% |
Service C | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% |
Profit | $89,778 | $99,279 | $108,780 | $118,280 | $127,781 | $137,282 | $146,783 | $150,164 | $153,544 | $156,925 | $160,306 | $163,687 |
Finally the Scenario 3 is a pretty straightforward application, and gives following values
Poor Year | January | February | March | April | May | June | July | Aug | Sep | October | November | December |
Volume | ||||||||||||
Service A | 100 | 110 | 121 | 133.1 | 146.41 | 161.051 | 177.1561 | 194.87171 | 165.640954 | 140.79481 | 119.67559 | 101.72425 |
Service B | 50 | 50 | 50 | 50 | 50 | 50 | 50 | 50 | 50 | 50 | 50 | 50 |
Service C | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 | 75 |
Price | ||||||||||||
Service A | $500 | $500 | $475 | $475 | $475 | $475 | $475 | $475 | $475 | $475 | $475 | $475 |
Service B | $2,000 | $1,700 | $1,700 | $1,700 | $1,700 | $1,700 | $1,700 | $1,700 | $1,700 | $1,700 | $1,700 | $1,700 |
Service C | $750 | $750 | $712.50 | $712.50 | $712.50 | $712.50 | $712.50 | $712.50 | $712.50 | $712.50 | $712.50 | $712.50 |
Margin | ||||||||||||
Service A | 25% | 25% | 25% | 25% | 25% | 25% | 25% | 25% | 23.75% | 23.75% | 23.75% | 23.75% |
Service B | 32% | 32% | 32% | 32% | 32% | 32% | 32% | 32% | 30.40% | 30.40% | 30.40% | 30.40% |
Service C | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 20% | 19% | 19% | 19% | 19% |
Profit | $55,750 | $52,200 | $52,256 | $53,693 | $55,274 | $57,012 | $58,925 | $61,029 | $54,679 | $51,877 | $49,494 | $47,469 |
Let me know for any doubt/clarification.