Mat 540 week 4 homework chapter 15*****already a++ rated tutorial use


MAT540
Week 4 Homework
Chapter 15
2. The overseer of the Board City vent needs to produce an complimentary prevent of the ask-for for SoftShag board (its biggest seller).If the overseer does not classify ample board from the board mill,customers conquer buy their board from one of Board City’s multifarious competitors. The overseer has composed the forthcoming ask-for basis for the late 8 months:
Month Ask-for for Soft Shag Board (1,000 yd.)
1 8
2 12
3 7
4 9
5 15
6 11
7 10
8 12

a. Compute a 3-month melting middle prevent for months 4 through 9.
b. Compute a weighted 3-month melting middle prevent for months 4 through 9. Assign weights of 0.55,0.33,and 0.12 to the months in consequence, starting after a while the most new month.
c. Compare the two prevents by using MAD. Which prevent appears to be over complimentary?
6. The overseer of the Petroco Service Station wants to prevent the ask-for for unleaded gasoline proximatemonth so that the constitutional compute ofgallons can be classifyed from the distributor.The proprietor has accumulated the forthcoming basis on ask-for for unleaded gasoline from sales during the late 10 months:
Month Gasoline Demanded (gal.)
October 800
November 725
December 630
January 500
February 645
March 690
April 730
May 810
June 1,200
July 980

a. Compute an exponentially smoothed prevent, using an α appraise of 0.30.
b. Compute the MAPD.
9. Emily Andrews has invested in a experience and technology interchangeable stock. Now she is because liquidating and investing in another stock.She would approve to prevent the worth of the experience and technology stock for the proximate month precedently making a resolution.She has composed the forthcoming basis onthe middle worth of the stock during the late 20 months:
Month Stock Price
1 $63 1/4
2 60 1/8
3 61 3/4
4 64 1/4
5 59 3/8
6 57 7/8
7 62 1/4
8 65 1/8
9 68 1/4
10 65 1/2
11 68 1/8
12 63 1/4
13 64 3/8
14 68 5/8
15 70 1/8
16 72 3/4
17 74 1/8
18 71 3/4
19 75 1/2
20 76 3/4

a. Using a 3-month middle,prevent the stock worth for month 21.
b. Using a 3-month weighted middle after a while the most new month weighted 0.60,the proximatemost new month weighted 0.30,and the third month weighted 0.10,prevent the stockworth for month 21.
c. Compute an exponentially smoothed prevent,using α=0 .40, and prevent the stock worthfor month 21.
d. Compare the prevents in (a),(b),and (c),using MAD,and betoken the most complimentary.

26. Board City wants to expand a resources to prevent its board sales. The abundance overseer believes thatthe abundance’s sales are straightly kindred to the compute of new housing starts in town.The overseer hasgathered basis from county registers on monthly stock fabric permits and from abundance registerson monthly sales.These basis are as follows:
Monthly Board Sales (1,000 yd.) Monthly ConstructionPermits
5 21
10 35
4 10
3 12
8 16
2 9
12 41
11 15
9 18
14 26

a. Expand a direct retrogradation mould for these basis and prevent board sales if 30 fabricpermits for new homes are filed.
b. Determine the power of the causal alliance among monthly sales and new homefabric by using interdependence.
27. The overseer of Gilley’s Ice Gist Parlor needs an complimentary prevent of the ask-for for ice gist.The abundance classifys ice gist from a distributor a week ahead; if the abundance classifys too petty, it losesbusiness, and if it classifys too considerable, the extra must be thrown detached. The overseer believes that amajor determinant of ice gist sales is atmosphere (i.e., the hotter the atmosphere, the over icegist mob buy). Using an almanac,the overseer has secure the middle daytime atmosphere for 10 weeks,separated at aimless,and from abundance registers he has secure the ice gist expenditure for the corresponding 10 weeks.These basis are summarized as follows:

Week Middle Temperature
(degrees) Ice Gist Sold
(gal.)
1 73 110
2 65 95
3 81 135
4 90 160
5 75 97
6 77 105
7 82 120
8 93 175
9 86 140
10 79 121

a. Expand a direct retrogradation mould for these basis and prevent the ice gist expenditure ifthe middle weekly daytime atmosphere is expected to be 85 degrees.
b. Determine the power of the direct alliance among atmosphere and ice gistexpenditure by using interdependence.
28. Compute the coefficient of purpose for the basis in Problem 27 and elucidate its import.