Please help correct my wrong answers. the task instructions, graph, constrains, my attempt at the question, and the evaluation of what i did wrong are all attached. This is a profit maximization problem. please help with a correct correction as this is due tomorrow and i am lost. thank you.

Evaluation Results

Author: Lauren Lambert
Date Evaluated: 05/24/2014 01:46:16 PM (MDT)
DRF template: QAT1: Quantitative Analysis for Business (V1 UNDERGRAD0813)
Program: QAT1: Quant.Anlys. for Bus(UG 0813)
Evaluation Method: Using Rubric
Evaluation Summary for Quantitative Analysis for Bus.: Task 2
Final Score: Does not Meet
Overall comments: The work included in this submission has been noted. Sections A and B meet the
required standard for accuracy. Sections C and D require revision. Please review the
identification of the feasible region.
Detailed Results (Rubric used: QAT1 Task 2)
Articulation of Response (clarity, organization, word usage, ease of understandability)
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
There is no evidence of
response to the prompts.
The articulation of the
response is weak.
The articulation of the
response is adequate.
The articulation of the
response is skillful.
Criterion Score: 3.00
Accuracy of Mechanics (grammar, punctuation, spelling)
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
The work includes several
major errors that disrupt the
meaning or flow of the
response.
The work includes a few major
errors and/or many minor
errors that interfere with the
clarity of the response.
The work includes a few minor
errors but no readily
detectable major errors.
The work includes no readily
detectable major or minor
errors.
Criterion Score: 3.00
A. Four Constraints
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
The candidate correctly
determines the equation for
0–1 constraints that are
plotted on the graph in the
attached Excel Spreadsheet,
showing all work necessary to
arrive at the equations.
The candidate correctly
determines the equation for
2–3 constraints that are
plotted on the graph in the
attached Excel Spreadsheet,
showing all work necessary to
arrive at the equations.
Not applicable. The candidate correctly
determines the equation for 4
constraints that are plotted on
the graph in the attached Excel
Spreadsheet, showing all work
necessary to arrive at the
equations.
Criterion Score: 4.00
Comments on this criterion: The equations are correctly presented in standard form.
Printed on: 05/26/2014 09:12:01 AM (EST)
A1. Minimum or Maximum Constraint
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
The candidate provides an
explanation for why 0–1
constraints are a minimum or
maximum constraint.
The candidate provides an
explanation for why 2–3
constraints are a minimum or
maximum constraint.
Not applicable. The candidate provides an
explanation for why 4
constraints are a minimum or
maximum constraint.
Criterion Score: 4.00
Comments on this criterion: All four classifications are correct.
A2. Objective Function
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
The candidate does not
correctly identify the objective
function.
Not applicable. Not applicable. The candidate correctly
identifies the objective
function.
Criterion Score: 4.00
Comments on this criterion: The objective function is correctly written.
B. Total Contribution of Profit
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
The candidate does not
correctly determine the total
profit to be made if the
company produces a
combination of cases of Brand
X and Brand Y that lies on the
blackdashed
objective
function line as it is shown in
the attached Excel
Spreadsheet.
Not applicable. Not applicable. The candidate correctly
determines the total profit to
be made if the company
produces a combination of
cases of Brand X and Brand Y
that lies on the blackdashed
objective function line as it is
shown in the attached Excel
Spreadsheet.
Criterion Score: 4.00
Comments on this criterion: Good, $2500 is correct.
C1. Brand X
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
The candidate does not
correctly determine how many
cases of Brand X should be
produced during each
production period, or does not
show all work.
The candidate does not
correctly determine how many
cases of Brand X should be
produced during each
production period, but shows
all work.
Not applicable. The candidate correctly
determines how many cases of
Brand X should be produced
during each production period,
showing all work.
Criterion Score: 2.00
Comments on this criterion: The optimum production level is not correctly determined. The points listed as vertices of the
feasible region on page four are not correct.
C2. Brand Y
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
The candidate does not
correctly determine how many
cases of Brand Y should be
produced during each
production period, or does not
show all work.
The candidate does not
correctly determine how many
cases of Brand Y should be
produced during each
production period, but shows
all work.
Not applicable. The candidate correctly
determines how many cases of
Brand Y should be produced
during each production period,
showing all work.
Printed on: 05/26/2014 09:12:01 AM (EST)
Criterion Score: 2.00
Comments on this criterion: The optimum production level is not correctly determined. The points listed as vertices of the
feasible region on page four are not correct.
C3. Feasible Region of Graph
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
The candidate does not
explain how the feasible
region of the provided graph
was used to arrive at the
candidate’s calculations for
parts C1 and C2.
The candidate provides an
illogical explanation for how
the feasible region of the
provided graph was used to
arrive at the candidate’s
calculations for parts C1 and
C2.
The candidate provides a
logical explanation for how the
feasible region of the provided
graph was used to arrive at
the candidate’s calculations for
parts C1 and C2.
The candidate provides a
credible and wellsupported
explanation for how the
feasible region of the provided
graph was used to arrive at the
candidate’s calculations for
parts C1 and C2.
Criterion Score: 2.00
Comments on this criterion: The feasible region is not correctly identified. The work should be revised to include the
correct feasible region.
D. Total Contribution to Profit
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
The candidate does not
correctly determine the total
contribution to profit that would
be generated by the
production levels the candidate
gave in parts C1 and C2, or
does not show all work.
The candidate correctly
determines the total
contribution to profit that
would be generated by the
production levels the
candidate gave in parts C1
and C2, but does not show all
work.
Not applicable. The candidate correctly
determines the total
contribution to profit that would
be generated by the
production levels the candidate
gave in parts C1 and C2,
showing all work.
Criterion Score: 2.00
Comments on this criterion: A response to this section could not be located. Please address this prompt.
E. Sources
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
When the candidate uses
sources, the candidate does
not provide intext
citations
and references for each source
used.
When the candidate uses
sources, the candidate
provides appropriate intext
citations and references with
major deviations from APA
style.
When the candidate uses
sources, the candidate
provides appropriate intext
citations and references with
minor deviations from APA
style.
When the candidate uses
sources, the candidate
provides appropriate intext
citations and references with
no readily detectable
deviations from APA style, OR
the candidate does not use
sources.
Criterion Score: 4.00
Overall Holistic
(1) Unacceptable (2) Needs Revision (3) Meets Standard (4) Exemplary
Unacceptable Needs Revision Meets Standard Exemplary
Criterion Score: 2.00
Comments on this criterion: Revision is necessary.
Printed on: 05/26/2014 09:12:01 AM (EST)

Lauren Lambert
QAT 1 Task2
The contribution to profit from the Brand Y only $12.50 per case compared to $100 per case for private label product The recipe for a case of X is 1 unit of Nutrient, 2 units of Color, 6 units of flavor and 10 units of Grain.
The recipe for a case of Y is 2 units of Nutrient, 1 unit of Color, 1 unit of flavor and 1 unit of Grain.
In order to meet government health regulations the manufacturer must use at least 500 units of Nutrient and at least The other ingredients are in short supply, so it must use no more than 400 units of flavor and no more than 300 units Solution
Since the recipe for a case of X is 1 unit of Nutrient, the recipe for a case of Y is 2 units
of Nutrient and we must use at least 500 units of Nutrient we have:
Nutrient constraint: X+2Y = 500
Since the recipe for a case of X is 2 units of Color, the recipe for a case of Y is 1 unit of
Color and we must use at least 150 units of Color we have:
Color constraint: 2X+Y = 150
Since the recipe for a case of X is 6 units of Flavor, the recipe for a case of Y is 1 unit of
Flavor and we can’t use no more than 400 units of Flavor we have:
Flavor constraint: 6X+Y = 400
Since the recipe for a case of X is 10 units of Grain, the recipe for a case of Y is 1 unit of
Grain and we can’t use no more than 300 units of Grain we have:
Grain constraint is 10X+Y = 300
1. Explain why each of the four identified constraints is a minimum or a
maximum constraint.
Flavor and Grains are in short supply, these ingredients are limited to400 and 300
respectively. Then these constraints are maximum,
Since manufacturer must use at least 500 units of Nutrient (is not limited) and 150 units of
Color. So these constraint are minimum
Nutrient constraint: X+2Y = 500 (Minimum constraint)
Color constraint: 2X+Y = 150 (Minimum constraint)
Flavor constraint: 6X+Y = 400 (Maximum constraint)
Grain constraint is 10X+Y = 300 (Maximum constraint)
2. Identify the objective function.
The contribution to profit from Brand Y is only $12.50 per case compared to $100 per
case for private label product Brand X.
Then the objective function is Profit (P) where:
P = 100X + 12.5Y
B. Determine the total profit to be made if the company produces a
combination of cases of Brand X and Brand Y that lies on the black-dashed
objective function line (profit line) as shown on the graph in the attached
Excel Spreadsheet.
Solution
Since (0,200) is in the black-dashed line in that point profit is
P = 100(0) + 12.5(200) = 2500
Answer: Total profit to be made in the profit line is $2500
C. Determine the optimum production (number of cases of Brand X and Y)
that yields the greatest amount of profit by doing the following:
1. Determine how many cases of Brand X should be produced during each
production period, showing all your work.
Feasible region is determined by the x-axis and
Nutrient constraint: X+2Y = 500
Color constraint: 2X+Y = 150
Flavor constraint: 6X+Y = 400
Grain constraint is 10X+Y = 300
So feasible region is
X+2Y ? 500
2X+Y ? 150
6X+Y ???? 400
10X+Y ???? 300
Feasible region is a quadrilateral; sides are determined by the equation of the following 4
lines
X+2Y = 500 (1) Nutrient
2X+Y = 150 (2) Color
6X+Y = 400 (3) Flavor
10X+Y = 300 (4) Grain
We have 4 corner points determined by the intersection of the lines (1) to (4)
Lines intersected Corner point (X, Y) Profit (100X + 12.5Y)
(1) and (4) (100/19, 4700/19) 68750/19
(4) and (2) (75/4, 225/2) 13125/4
(2) and (3) (125/2,25) 13125/2 (Greatest)
(3) and (1) (300/11, 2600/11) 62500/11
Answer: X must be 125????2
2. Determine how many cases of Brand Y should be produced during each
production period, showing all your work.
Work is shown in the previous part
Answer: Y must be 25
3. Explain how the feasible region of the provided graph was used to arrive
at your calculations for parts C1 and C2.
Looking at the graph we see that feasible region is defined by 4 constraint lines, Nutrient
Grain, Flavor, and Color.
So to find the corner points we intercept those lines (4 corner points)
Then optimal solution is at the corner point where the profit is maximum

Student book Task 2
Please enter your name and WGU ID number in the boxes below.
Quantitative Analysis for Business
Note: In order to get credit for your work it is crucial that you enter your student number correctly.
QAT1
Student Name:
Lauren Lambert
Assignment 309.3.1-01 - Version LMF0613
Student Number:
295309
After you enter your Student Number, hit the "HOME" key to return to the top of the worksheet.
Scroll down to unlocked cells to show work.
The contribution to profit from the Brand Y only $12.50 per case compared to $100 per case for private label product Brand X.
The recipe for a case of X is 1 unit of Nutrient, 2 units of Color, 6 units of flavor and 10 units of Grain.
The recipe for a case of Y is 2 units of Nutrient, 1 unit of Color, 1 unit of flavor and 1 unit of Grain.
In order to meet government health regulations the manufacturer must use at least 500 units of Nutrient and at least 150 units of Color
The other ingredients are in short supply, so it must use no more than 400 units of flavor and no more than 300 units of Grain.


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