Uncategorized
Business Topics Covered In This Content
Cost of urchase ($ per kg) | 15 | ||||||||||||
Sale price ($ per kg) | 30 | ||||||||||||
Salvage price ($ per kg) | 10 | ||||||||||||
Cost of underage | 15 | ||||||||||||
Cost of overage | 5 | ||||||||||||
Optimistic rule (Maximax) | |||||||||||||
Maximum | |||||||||||||
Sales | 10 | 15 | 20 | 25 | 30 | Payoff | |||||||
10 | 150 | 150 | 150 | 150 | 150 | 150 | |||||||
15 | 125 | 225 | 225 | 225 | 225 | 225 | |||||||
20 | 100 | 200 | 300 | 300 | 300 | 300 | |||||||
25 | 75 | 175 | 275 | 375 | 375 | 375 | |||||||
30 | 50 | 150 | 250 | 350 | 450 | 450 | |||||||
Laplace rule (Average) | |||||||||||||
Average | |||||||||||||
Sales | 10 | 15 | 20 | 25 | 30 | Payoff | |||||||
10 | 150 | 150 | 150 | 150 | 150 | 150 | |||||||
15 | 125 | 225 | 225 | 225 | 225 | 205 | |||||||
20 | 100 | 200 | 300 | 300 | 300 | 240 | |||||||
25 | 75 | 175 | 275 | 375 | 375 | 255 | |||||||
30 | 50 | 150 | 250 | 350 | 450 | 250 | |||||||
Maximizing expected value | |||||||||||||
Prob | 0.1 | 0.2 | 0.4 | 0.2 | 0.1 | Expected | |||||||
Sales | 10 | 15 | 20 | 25 | 30 | Value | |||||||
10 | 150 | 150 | 150 | 150 | 150 | 150 | |||||||
15 | 125 | 225 | 225 | 225 | 225 | 215 | |||||||
20 | 100 | 200 | 300 | 300 | 300 | 260 | |||||||
25 | 75 | 175 | 275 | 375 | 375 | 265 | |||||||
30 | 50 | 150 | 250 | 350 | 450 | 250 | |||||||
Probability | Cumulative Probability | Number of No-shows | Sensitivity Analysis | ||||||||||
0.1 | 0.1 | 0 | Overbooked Rooms | Average Cost | |||||||||
0.15 | 0.25 | 1 | 0 | 128.23 | |||||||||
0.3 | 0.55 | 2 | 1 | 94.96 | |||||||||
0.15 | 0.7 | 3 | 2 | 50.03 | |||||||||
0.2 | 0.9 | 4 | 3 | 19.43 | |||||||||
0.1 | 1 | 5 | 4 | 0 | |||||||||
5 | 0 | ||||||||||||
Lower Randome Number | Upper Random Number | Number of No-shows | Rooms Overbooked | 2 | |||||||||
0 | 0.1 | 0 | |||||||||||
0.1 | 0.25 | 1 | Cost per short room | 125 | |||||||||
0.25 | 0.55 | 2 | Cost per vacant room | 50 | |||||||||
0.55 | 0.7 | 3 | |||||||||||
0.7 | 0.9 | 4 | Average Daily Cost | 38.13333333 | |||||||||
0.9 | 1 | 5 | |||||||||||
Day | RN of No- shows | No shows | Short rooms | Short Cost | Vacant Rooms | Vacant Cost | Total Cost | ||||||
1 | 0.675846923 | 3 | 1 | 125 | 1 | 50 | 175 | ||||||
2 | 0.664119967 | 3 | 1 | 125 | 1 | 50 | 51 | ||||||
3 | 0.75079751 | 4 | 2 | 250 | 2 | 100 | 102 | ||||||
4 | 0.348496753 | 2 | 0 | 0 | 0 | 0 | 0 | ||||||
5 | 0.187807504 | 1 | 0 | 0 | 0 | 0 | 0 | ||||||
6 | 0.976809756 | 4 | 2 | 250 | 2 | 100 | 102 | ||||||
7 | 0.629112621 | 3 | 1 | 125 | 1 | 50 | 51 | ||||||
8 | 0.654359306 | 3 | 1 | 125 | 1 | 50 | 51 | ||||||
9 | 0.514885822 | 2 | 0 | 0 | 0 | 0 | 0 | ||||||
10 | 0.194175137 | 1 | 0 | 0 | 0 | 0 | 0 | ||||||
11 | 0.350453904 | 2 | 0 | 0 | 0 | 0 | 0 | ||||||
12 | 0.011228897 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
13 | 0.514759112 | 2 | 0 | 0 | 0 | 0 | 0 | ||||||
14 | 0.221079517 | 1 | 0 | 0 | 0 | 0 | 0 | ||||||
15 | 0.158821758 | 1 | 0 | 0 | 0 | 0 | 0 | ||||||
16 | 0.667304196 | 3 | 1 | 125 | 1 | 50 | 51 | ||||||
17 | 0.966799737 | 4 | 2 | 250 | 2 | 100 | 102 | ||||||
18 | 0.158313105 | 1 | 0 | 0 | 0 | 0 | 0 | ||||||
19 | 0.487062523 | 2 | 0 | 0 | 0 | 0 | 0 | ||||||
20 | 0.77580503 | 4 | 2 | 250 | 2 | 100 | 102 | ||||||
21 | 0.112508395 | 1 | 0 | 0 | 0 | 0 | 0 | ||||||
22 | 0.82223367 | 4 | 2 | 250 | 2 | 100 | 102 | ||||||
23 | 0.125319744 | 1 | 0 | 0 | 0 | 0 | 0 | ||||||
24 | 0.870356501 | 4 | 2 | 250 | 2 | 100 | 102 | ||||||
25 | 0.229727278 | 1 | 0 | 0 | 0 | 0 | 0 | ||||||
26 | 0.043384646 | 0 | 0 | 0 | 0 | 0 | 0 | ||||||
27 | 0.941932932 | 4 | 2 | 250 | 2 | 100 | 102 | ||||||
28 | 0.450733042 | 2 | 0 | 0 | 0 | 0 | 0 | ||||||
29 | 0.153619749 | 1 | 0 | 0 | 0 | 0 | 0 | ||||||
30 | 0.698281302 | 3 | 1 | 125 | 1 | 50 | 51 | ||||||
Total | 1144 | ||||||||||||
SUMMARY OUTPUT | |||||||||||||
Regression Statistics | |||||||||||||
Multiple R | 0.8595 | ||||||||||||
R Square | 0.7388 | ||||||||||||
Adjusted R Square | 0.6642 | ||||||||||||
Standard Error | 1588.2080 | ||||||||||||
Observations | 10 | ||||||||||||
ANOVA | |||||||||||||
Significance F | df | SS | MS | F | Significance F | ||||||||
0.0016 | Regression | 2 | 49939168.3072 | 24969584.1536 | 9.8991 | 0.0091 | |||||||
Residual | 7 | 17656831.6928 | 2522404.5275 | ||||||||||
Total | 9 | 67596000.0000 | |||||||||||
Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | ||
13987.026 | 18465.756 | 13987.026 | 18465.756 | Intercept | 16699.519 | 1462.676 | 11.417 | 0.000 | 13240.839 | 20158.199 | 13240.839 | 20158.199 | |
-1254.782 | -424.533 | -1254.782 | -424.533 | Mileage | -0.039 | 0.087 | -0.453 | 0.664 | -0.245 | 0.166 | -0.245 | 0.166 | |
Age (years) | -507.303 | 758.280 | -0.669 | 0.525 | -2300.351 | 1285.744 | -2300.351 | 1285.744 | |||||
Part a | Part b | Part c | |||||||||||
Known parameters | Product A | Known parameters | Product A | Known parameters | Product A | Product B | |||||||
Selling price | 15 | Selling price | 15 | Selling price | 15 | 20 | |||||||
Fixed cost | 2400 | Fixed cost | 2400 | Fixed cost | 2400 | 3600 | |||||||
Variable cost per unit | 7 | Variable cost per unit | 7 | Variable cost per unit | 7 | 10 | |||||||
Variables | Variables | Variables | |||||||||||
Number of units | 300 | Number of units | 500 | Number of units | 2000 | 1000 | |||||||
Results | Results | Results | |||||||||||
Total revenue | 4500 | Total revenue | 7500 | Total revenue | 30000 | 20000 | |||||||
Fixed cost | 2400 | Fixed cost | 2400 | Fixed cost | 2400 | 3600 | |||||||
Total variable costs | 2100 | Total variable costs | 3500 | Total variable costs | 14000 | 10000 | |||||||
Total costs | 4500 | Total costs | 5900 | Total costs | 16400 | 13600 | |||||||
Profit | 0 | Profit | 1600 | Profit | 13600 | 6400 | |||||||
Total profit | 20000 |