University Florists makes bouquets from a variety of materials.
The Daily Special Bouquet is priced at $20. The florist assembles
this bouquet each day from a variety of low cost flowers he buys
from his flower supplier. The actual cost of flowers ranges
uniformly from $2 to $7, with all intermediate values being equally
likely. The florist (who studied management science many years ago)
knows that the time to assemble a bouquet is normally distributed
with a mean time of 5 minutes and standard deviation of 1 minute.
This will be the time required for all of the Daily Special
Bouquets for that day. The florist values his labor time at $10 per
hour. Sales are normally distributed with a mean of 10 bouquets per
day with a standard deviation of 1 bouquet. What formulas should go
in cells B8:B14 to simulate daily profits for the store? You just
have to write the formulas. No solution of the question is
needed.
|
A |
B |
C |
D |
E |
F |
|
|
1 |
Initial Conditions: | |||||
|
2 |
Sales Price |
$20 |
Constant | |||
|
3 |
Number of Bouquets: | Average |
10 |
Std dev |
1 |
Normal |
|
4 |
Cost of Flowers | Lo |
$2 |
Hi |
$7 |
Cont. Uniform |
|
5 |
Labor Time | Average |
5 |
Std dev |
1 |
Normal |
|
6 |
Labor Cost |
$10 |
Constant | |||
|
7 |
||||||
|
8 |
Cost of Flowers |
$4.41 |
||||
|
9 |
Labor Time (Min) |
2.55 |
||||
|
10 |
Labor Cost |
$0.43 |
||||
|
11 |
Total Cost |
4.83 |
||||
|
12 |
Profit/Bouquet |
$15.17 |
||||
|
13 |
# Bouquets Sold |
12.20 |
||||
|
14 |
Total Profit |
$184.99 |
ANS:
Cell Formula
B8 =PsiUniform($C$4, $E$4)
B9 =PsiNormal($C$5, $E$5)
B10 =B9/60*C6
B11 =B8+B10
B12 =C2-B11
B13 =PsiNormal($C$3, $E$3)
B14 =B12*B13+PsiOutput()
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