Are my formulas correct and did I get the correct answer (I get $333,000 as my answer for Maximized Profit)? If not show me how to fix it. Question: Sunblessed Juice Company sells bags of oranges and cartons of orange juice. Sunblessed grades oranges on a scale of 1 (poor) to 10 (excellent). At present, Sunblessed has 220,000 pounds of grade 6 oranges and 150,000 pounds of grade 9 oranges on hand. The aver- age quality of oranges sold in bags must be at least 7, and the average quality of the oranges used to produce orange juice must be at least 8. Each pound of oranges that is used for juice yields a revenue of $2.25 and in- curs a variable cost (consisting of labor costs, variable overhead costs, inventory costs, and so on) of $1.35. Each pound of oranges sold in bags yields a revenue of $2.00 and incurs a variable cost of $1.20. a.    Determine how Sunblessed can maximize its profit.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Are my formulas correct and did I get the correct answer (I get $333,000 as my answer for Maximized Profit)? If not show me how to fix it.

Question: Sunblessed Juice Company sells bags of oranges and cartons of orange juice. Sunblessed grades oranges on a scale of 1 (poor) to 10 (excellent). At present, Sunblessed has 220,000 pounds of grade 6 oranges and 150,000 pounds of grade 9 oranges on hand. The aver- age quality of oranges sold in bags must be at least 7, and the average quality of the oranges used to produce orange juice must be at least 8. Each pound of oranges that is used for juice yields a revenue of $2.25 and in- curs a variable cost (consisting of labor costs, variable overhead costs, inventory costs, and so on) of $1.35. Each pound of oranges sold in bags yields a revenue of $2.00 and incurs a variable cost of $1.20.

a.    Determine how Sunblessed can maximize its profit.

10
F12
X ✓ fx
A
1 Selling oranges and orange juice
3 Revenues, variable costs
4
5 Revenue
6
Variable cost
7
8
Grades used to make juice and bags
9
Grade
10 6
11 9
12
Sold
13
14 Required average quality
15
16
17
18 Quality constraints
19
20 Actual
21
22 Required
23
24 Total variable cost
25
Total revenue
26
27 Maximized Profit
28
29
30
31
32
33
34
35
36
23
acc
Ready
JUN
9
P4-46 Model
B
you want to continue working where you left off?
C
D
Juice
Bags
Bags
2.25
1.35
220000
0
150000
0
-SUM(B10:B11)
=SUM(C10:C11)
Juice
Bags
8
Juice
Bags
=SUMPRODUCT($A$10:$A$11,B10:B11) =SUMPRODUCT($A$10:$A$11,C10:C11)
>
>=
=B12 B16
=C12*C16
=B12*B6+C12*C6
=B12*B5+C12*C5
=B25-824
P4-46 Sensitivity Analysis
P4-48 Sensitivity Analysis
♫
A
Z alı
Juice
2
1.2
2
7
P4-48 Model
A I
=B10+C10
=B11+C11
Used
P4-50 Model
D
X
<=
<=
E
W
2
220000
150000
P4-50 Sensitivity Analysis 3
F
Available
Transcribed Image Text:10 F12 X ✓ fx A 1 Selling oranges and orange juice 3 Revenues, variable costs 4 5 Revenue 6 Variable cost 7 8 Grades used to make juice and bags 9 Grade 10 6 11 9 12 Sold 13 14 Required average quality 15 16 17 18 Quality constraints 19 20 Actual 21 22 Required 23 24 Total variable cost 25 Total revenue 26 27 Maximized Profit 28 29 30 31 32 33 34 35 36 23 acc Ready JUN 9 P4-46 Model B you want to continue working where you left off? C D Juice Bags Bags 2.25 1.35 220000 0 150000 0 -SUM(B10:B11) =SUM(C10:C11) Juice Bags 8 Juice Bags =SUMPRODUCT($A$10:$A$11,B10:B11) =SUMPRODUCT($A$10:$A$11,C10:C11) > >= =B12 B16 =C12*C16 =B12*B6+C12*C6 =B12*B5+C12*C5 =B25-824 P4-46 Sensitivity Analysis P4-48 Sensitivity Analysis ♫ A Z alı Juice 2 1.2 2 7 P4-48 Model A I =B10+C10 =B11+C11 Used P4-50 Model D X <= <= E W 2 220000 150000 P4-50 Sensitivity Analysis 3 F Available
K
Yes
Solver Parameters
m
Set Objective:
$B$27
To: O Max
Min
Value Of:
By Changing Variable Cells:
$B$10:$C$11
Subject to the Constraints:
$B$20:$C$20 >= $B$22:$C$22
$D$10:$D$11 <= $F$10:$F$11
Add
Change
Delete
Reset All
Load/Save
✔Make Unconstrained Variables Non-Negative
Select a Solving Method: Simplex LP
Options
Solving Method
Select the GRG Nonlinear engine for Solver Problems that are smooth
nonlinear. Select the LP Simplex engine for linear Solver Problems,
smooth.
and select the Evolutionary engine for Solver problems that are non-
Close
Solve
Sensitivity Analysis 3
+
|
No
0
Transcribed Image Text:K Yes Solver Parameters m Set Objective: $B$27 To: O Max Min Value Of: By Changing Variable Cells: $B$10:$C$11 Subject to the Constraints: $B$20:$C$20 >= $B$22:$C$22 $D$10:$D$11 <= $F$10:$F$11 Add Change Delete Reset All Load/Save ✔Make Unconstrained Variables Non-Negative Select a Solving Method: Simplex LP Options Solving Method Select the GRG Nonlinear engine for Solver Problems that are smooth nonlinear. Select the LP Simplex engine for linear Solver Problems, smooth. and select the Evolutionary engine for Solver problems that are non- Close Solve Sensitivity Analysis 3 + | No 0
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