After you have actively read the poem in this first module and given yourself time to collect your thoughts about it, write a focused, organized and developed discussion of how you interpret the poem's message.  What does the poem, "The Ice Worker Sings," mean to you?  600 words, 5 paragraphs, in MLA format. the ice worker sings by Andreas Montoya it didn’t matter to him that it was only seasonal or that he had no choice but the graveyard shift; a job in the ice plant in the hot fresno summer was as close as he’d get to heaven. or at least, this is what he thought. he liked this job cause they let him alone. here everyone wore ear plugs and he was left in a room by himself to stack blocks of ice into rows of crystal perfection, rows and rows, a huge army of petrified water standing at attention he found himself marching back and forth singing songs he never knew he loved. sometimes he would sing rock or blues or even a classical tune he’d heard on a bad radio commercial. but, mostly, he would steal the beats and put in his own words about life, about love, about dying, this is how he became a poet parting ways with the sad ocean of ordinary speech, he sang loud and he liked it. No one ever told him to shut up, or that he couldn’t carry a tune. he enjoyed seeing song spring from between his lips in the white breath of the cold room. he found he could forget everything while he sang among the ice: the house that kept shedding shingles, the mad dogging eyes that followed him to work, and his cowardice under the yellow street lamps while he knelt on the road of potholes and gravel and dust begging the moon to release him from his fear of everything. but here he sang, and his army of ice to him were warriors from tula, big square warriors, sympathetic to the orders of their general, which of course was him. they laughed when he laughed and cried when he cried. only here, he never cried. he didn’t have to. at home, his mother slept with the windows open in hope a breeze would finally blow. at home, they didn’t have refrigeration. at home, even the walls were hot. on breaks he would sit outside on the bench to smoke and drink coffee. here he would pray for his mother, pray for angels to come carrying machine- guns and flamethrowers to keep watch over her. he would pray for wind so that she, like him, might escape the hell of fresno in the summer. and when the break was over he would go back to the ice and give life to his army, he would go back to the ice and sing. P1(a) Define the decision variables and write the linear programming model for the problem in the space provided below(b) Sketch the feasible region. Give your answer in the worksheet named P1-Graph(i) You can use QM for Windows to get the graph, copy and paste it onto the worksheet named P1-Graph OR(ii) You can sketch the feasible region on paper, scan and save it in your computer. Copy the image (i.e. graph) and paste it onto the worksheet named P1-Graph(c') Write all the ve.

1. After you have actively read the poem in this first module and
given yourself time to collect your thoughts about it, write a
focused, organized and developed discussion of how you
interpret the poem's message. What does the poem, "The Ice
Worker Sings," mean to you? 600 words, 5 paragraphs, in MLA
format.
the ice worker sings
by Andreas Montoya
it didn’t matter to him that it was only seasonal
or that he had no choice but the graveyard shift;
a job in the ice plant in the hot fresno summer
was as close as he’d get to heaven.
or at least, this is what he thought.
he liked this job cause they let him alone.
here everyone wore ear plugs
and he was left in a room
by himself to stack blocks
of ice into rows of crystal perfection,
rows and rows, a huge army
of petrified water standing at attention
he found himself marching back and forth
singing songs he never knew he loved.
sometimes he would sing rock
or blues or even a classical tune
he’d heard on a bad radio commercial.
but, mostly, he would steal the beats
and put in his own words about life,
about love, about dying,
this is how he became a poet
parting ways with the sad ocean
of ordinary speech, he sang loud
and he liked it. No one ever told him

2. to shut up, or that he couldn’t carry a tune.
he enjoyed seeing song
spring from between his lips
in the white breath of the cold room.
he found he could forget everything
while he sang among the ice:
the house that kept shedding shingles,
the mad dogging eyes that followed him
to work, and his cowardice under the yellow street lamps
while he knelt on the road of potholes and gravel and dust
begging the moon to release him from his fear of everything.
but here he sang, and his army of ice
to him were warriors from tula, big
square warriors, sympathetic to the orders
of their general, which of course was him.
they laughed when he laughed
and cried when he cried.
only here, he never cried.
he didn’t have to.
at home, his mother slept with the windows open
in hope a breeze would finally blow.
at home, they didn’t have refrigeration.
at home, even the walls were hot.
on breaks he would sit outside
on the bench to smoke and drink coffee.
here he would pray for his mother,
pray for angels to come carrying machine-
guns and flamethrowers
to keep watch over her.
he would pray for wind
so that she, like him, might escape
the hell of fresno in the summer.
and when the break was over

3. he would go back to the ice
and give life to his army,
he would go back to the ice
and sing.
P1(a) Define the decision variables and write the linear
programming model for the problem in the space provided
below(b) Sketch the feasible region. Give your answer in the
worksheet named P1-Graph(i) You can use QM for Windows to
get the graph, copy and paste it onto the worksheet named P1-
Graph OR(ii) You can sketch the feasible region on paper, scan
and save it in your computer. Copy the image (i.e. graph) and
paste it onto the worksheet named P1-Graph(c') Write all the
vertices of the feasible region and identify the optimal vertex
What is the optimal objective function
value?Vertexx1x2x1x21optimal vertex23optimal objective
fuction value
P1-Graph
P2(a) Define the decision variables and write the linear
programming model for the problem in the space provided
below(b) Sketch the feasible region. Give your answer in the
worksheet named P2-Graph(i) You can use QM for Windows to
get the graph, copy and paste it onto the worksheet named P2-
Graph OR(ii) You can sketch the feasible region on paper, scan
and save it in your computer. Copy the image (Graph) and paste
it onto the worksheet named P2-GraphWrite all the vertices of
the feasible region and identify the optimal vertexWhat is the
optimal objective function value?Vertexx1x2x1x21optimal
vertex23optimal objective fuction value45(c')How much labor
and wood will be unused if the optimal number of chairs and
tables are used?Provide your answer in the space below
P2-Graph
P3(a) Define the decision variables and write the linear

4. programming model for the problem in the space provided
below(b) Sketch the feasible region. Give your answer in the
worksheet named P4-Graph(i) You can use QM for Windows to
get the graph, copy and paste it onto the worksheet named P4-
Graph OR(ii) You can sketch the feasible region on paper, scan
and save it in your computer. Copy the image (Graph) and paste
it onto the worksheet named P4-Graph(c') Write all the vertices
of the feasible region and identify the optimal vertexWhat is the
optimal objective function value?Vertexx1x2x1x21optimal
vertex23optimal objective fuction value
P3-Graph
P4(a) Sketch the feasible region. Give your answer in the
worksheet named P5-Graph(i) You can use QM for Windows to
get the graph, copy and paste it onto the worksheet named P5-
Graph OR(ii) You can sketch the feasible region on paper, scan
and save it in your computer. Copy the image (Graph) and
paste it onto the worksheet named P5-Graph(b) Write all the
vertices of the feasible region and identify the optimal vertex
What is the optimal objective function
value?Vertexx1x2x1x21optimal vertex23optimal objective
fuction value
P4-Graph
MAT540 Homework
Week 6
Page 1 of 2
MAT540
Week 6 Homework
Chapter 2

5. 1. A Cereal Company makes a cereal from several ingredients.
Two of the ingredients, oats and rice,
provide vitamins A and B. The company wants to know how
many ounces of oats and rice it should
include in each box of cereal to meet the minimum requirements
of 45 milligrams of vitamin A and
13 milligrams of vitamin B while minimizing cost. An ounce of
oats contributes 10 milligrams of
vitamin A and 2 milligram of vitamin B, whereas an ounce of
rice contributes 6 milligrams of A
and 3 milligrams of B. An ounce of oats costs $0.06, and an
ounce of rice costs $0.03.
a. Formulate a linear programming model for this problem.
b. Solve the model by using graphical analysis.
2. A Furniture Company produces chairs and tables from two
resources- labor and wood. The
company has 125 hours of labor and 45 board-ft. of wood
available each day. Demand for chairs is
limited to 5 per day. Each chair requires 7 hours of labor and
3.5 board-ft. of wood, whereas a table
requires 14 hours of labor and 7 board-ft. of wood. The profit
derived from each chair is $325 and

6. from each table, $120. The company wants to determine the
number of chairs and tables to produce
each day in order to maximize profit. Formulate a linear
programming model for this problem.
a. Formulate a linear programming model for this problem.
b. Solve the model by using graphical analysis. (Do not round
the answers)
c. How much labor and wood will be unused if the optimal
numbers of chairs and tables are
produced?
3. Kroeger supermarket sells its own brand of canned peas as
well as several national brands. The
store makes a profit of $0.28 per can for its own peas and a
profit of $0.19 for any of the national
brands. The store has 6 square feet of shelf space available for
canned peas, and each can of peas
takes up 9 square inches of that space. Point-of-sale records
show that each week the store never
sales more than half as many cans of its own brand as it does of
the national brands. The store
wants to know how many cans of its own brand of peas of peas
and how many cans of the national
brands to stock each week on the allocated shelf space in order
to maximize profit.

7. a. Formulate a linear programming model for this problem.
b. Solve the model by using graphical analysis.
MAT540 Homework
Week 6
Page 2 of 2
4. Solve the following linear programming model graphically:
Minimize Z=8X1 + 6X2
Subject to
4X1 + 2X2 20
-6X1 + 4X2
X1 + X2
X1 , X2
P1Carpet CityMonthDemand for Soft Shag Carpet (1,000 yd.)3
mos moving average forecastWeighted 3 mos moving average
forecastError abs()Error abs()1102938495106127148119Please
apply weights stated in the problemWeights: 0.55 (most recent
month), 0.35, 0.10Compute MAD on 3 mos moving
averageNote: average over month 4 through 8 only. No data
available to month 9Compute MAD on weighted 3 mos moving

8. averageNote: average over month 4 through 8 only. No data
available to month 9Which is a better forecast method?
P2Petroco Service Stationalpha =0.4MonthGas DemandExp
ForecastErrorOctober775----
November835December605January450February600March700Ap
ril820May925June1500July1200August8410SUMMAPD
P3Science and Technology Mutual Fundalpha =0.3MonthFund
Price3 mos moving average forecastWeighted 3 mos moving
average forecastExp Forecast3 mos MA errorWeighted 3 mos
MA error Exp. Smoothing error155 3/4------------254 1/4--------
355 1/8--------458 1/8553 3/8651 1/8756 1/4859 5/8962 1/41059
1/41162 3/812581358 1/81462 3/41564 3/41666 1/81768
3/41860 1/21965 7/82072 1/421Please apply weights stated in
the problemWeight 0.5 (most recent), 0.3, 0.2Compute MAD on
3 mos moving averageCompute MAD on weighted 3 mos
moving averageCompute MAD on exponentially smoothed
forecastWhich is a better forecast method?
P4Carpet City RegressionX - axisY - axisMonthly Construction
PermitsMonthly Carpet Sales (1,000
yd.)17925148107121415794524192128202829Place regression
output hereY = A + BxA =B = Forecast Carpet sales for 30
construction permitsCorrelation Coefficient
P5Gilley's Ice Cream ParlorxyAve. TempIce cream
SoldWeek(degrees)(gal.)16880270115373914798757711068212
87851648901789851441092179119014412951971380144147512
3Place regression output here(a) Y = A + BxA =B =
(b)Correlation Coefficient(c')Coefficient of
DeterminationExplain the meaning of the coefficient of
Determination below. What does it indicate?
MAT540 Homework
Week 4
Page 1 of 5

9. MAT540
Week 4 Homework
Chapter 15
1. The manager of the Carpet City outlet needs to make an
accurate forecast of the demand for Soft
Shag carpet (its biggest seller). If the manager does not order
enough carpet from the carpet mill,
customer will buy their carpet from one of Carpet City’s many
competitors. The manager has
collected the following demand data for the past 8 months:
Month
Demand for Soft Shag
Carpet (1,000 yd.)
1 10
2 9
3 8
4 9
5 10
6 12

10. 7 14
8 11
a. Compute a 3-month moving average forecast for months 4
through 9.
b. Compute a weighted 3-month moving average forecast for
months 4 through 9. Assign
weights of 0.55, 0.35, and 0.10 to the months in sequence,
starting with the most recent
month.
c. Compare the two forecasts by using MAD. Which forecast
appears to be more accurate?
2. The manager of the Petroco Service Station wants to forecast
the demand for unleaded gasoline
next month so that the proper number of gallons can be ordered
from the distributor. The owner has
accumulated the following data on demand for unleaded
gasoline from sales during the past 10
months:
MAT540 Homework

11. Week 4
Page 2 of 5
Month Gasoline Demanded (gal.)
October 775
November 835
December 605
January 450
February 600
March 700
April 820
May 925
June
July
1500
1200
a. Compute an exponential smoothed forecast, using an α value
of 0.4
b. Compute the MAD.

12. 3. Emily Andrews has invested in a science and technology
mutual fund. Now she is considering
liquidating and investing in another fund. She would like to
forecast the price of the science and
technology fund for the next month before making a decision.
She has collected the following data
on the average price of the fund during the past 20 months:
Month Fund Price
1 $55 ¾
2 54 ¼
3 55 1/8
4 58 1/8
5 53 3/8
6 51 1/8
7 56 ¼
8 59 5/8
9 62 ¼
10 59 ¼
11 62 3/8

13. 12 57 1/1
MAT540 Homework
Week 4
Page 3 of 5
13 58 1/8
14 62 ¾
15 64 ¾
16 66 1/8
17 68 ¾
18 60.5
19 65.875
20 72.25
a. Using a 3-month average, forecast the fund price for month
21.
b. Using a 3-month weighted average with the most recent
month weighted 0.5, the next most
recent month weighted 0.30, and the third month weighted 0.20,
forecast the fund price for

14. month 21.
c. Compute an exponentially smoothed forecast, using α=0.3,
and forecast the fund price for
month 21.
d. Compare the forecasts in (a), (b), and (c), using MAD, and
indicate the most accurate.
4. Carpet City wants to develop a means to forecast its carpet
sales. The store manager believes that
the store’s sales are directly related to the number of new
housing starts in town. The manager has
gathered data from county records on monthly house
construction permits and from store records
on monthly sales. These data are as follows:
Monthly Carpet Sales
(1,000 yd.)
Monthly Construction
Permits
9 17
14 25
10 8
12 7

15. 15 14
9 7
24 45
21 19
20 28
MAT540 Homework
Week 4
Page 4 of 5
29 28
a. Develop a linear regression model for these data and forecast
carpet sales if 30 construction
permits for new homes are filed.
b. Determine the strength of the causal relationship between
monthly sales and new home
construction by using correlation.
5. The manager of Gilley’s Ice Cream Parlor needs an accurate
forecast of the demand for ice cream.
The store orders ice cream from a distributor a week ahead; if

16. the store orders too little, it loses
business, and if it orders too much, the extra must be thrown
away. The manager belives that a
major determinant of ice cream sales is temperature (i.e.,the
hotter the weather, the more ice cream
people buy). Using an almanac, the manager has determined the
average day time temperature for
14 weeks, selected at random, and from store records he has
determined the ice cream consumption
for the same 14 weeks. These data are summarized as follows:
Week
Average Temperature
(Degrees)
Ice Cream Sold
(gal.)
1 68 80
2 70 115
3 73 91
4 79 87
5 77 110
6 82 128

17. 7 85 164
8 90 178
9 85 144
10 92 179
11 90 144
12 95 197
13 80 144
14 75 123
MAT540 Homework
Week 4
Page 5 of 5
a. Develop a linear regression model for these data and forecast
the ice cream consumption if the
average weekly daytime temperature is expected to be 85
degrees.
b. Determine the strength of the linear relationship between
temperature and ice cream

18. consumption by using correlation.
c. What is the coefficient of determination? Explain its
meaning.