MS5220 Management Science Week 3 Assignment

MS5220 Management Science week 3 assignment
Schiller 席勒 : 審美教育書簡
#42
Q1. the food Rex grocery store sells 3 brands of milk in half-gallon cartons --- i) its own brand, ii)a local dairy brand, and iii) a national brand.

The profit from its own brand is $0.97 per carton, the profit from the local dairy brand is $0.83 per carton, and the profit from the national brand is $0.69 per carton.

The total refrigerated shelf space alloted to half-gallon cartons of milk is 36 square feet per week. A half-gallon carton takes up 16 square inches of shelf space.

The store manager knows that each week Food Rex always sells more of the national brand than the local dairy brand and its own brand combined AND at least 3 times as much of the national brand as its own brand.

In addition, the local dairy can supply only 10 dozen cartons per week. The store manager wants to know HOW MANY half-gallon cartons of EACH brand to stock each week in order to maximize profit.

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#43
Q2.

a) If Food Rex in the preceding problem could increase its shelf space for half-gallon of milk, HOW MUCH would profit increase per carton?

b) If Food Rex could get the local dairy to increase the amount of milk it could supply each week, would it increase profit ( why?) ans: NO

c) Food Rex is considering discounting its own brand in order to increase sales.
If it does so it would decrease the profit margin for its own brand to $0.86 per carton, but it would cutthe demand for the national brand relative to its own brand ih half.

discuss whether the store should implement the price discount. (hint: resolve the revised model with the computer ).
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#26
Q3.

#26 Q3.

The Nor folk Feed ( 飼料) company makes a feed ( 飼料) mix from 4 ingredients -- i) oats, ii) corn, iii) soybeans, and iv) a vitamin supplemtnt.

The company has 300 pounds of oats, 400 pounds of corns, 200 pounds of soyneans, and 100 pounds of vitamin supplement available for the mix.

The company has the followling recipe for the mix.

--At least 30% of the mix must be soybeans
--At least 20% of the mix must be the vitamin supplement
--The ratio of corn to oats CANNOT exceed 2 to 1 (ratio 2:1)
--The amount of oats CANNOT exceed the amount of soybeans
--The mix must be at least 500 pounds

A pound of oats costs $0.5;
A pound of corn $1.2;
A pound of soybeans, $0.6; and
a pound of vitamin supplement, $2.00

The feed ( 飼料) company wants to know the number of pounds of each ingredient to put in the mix in order to minimize cost.

a) formulate a lineat programming model for this problem.
b) solve the model using the computer (using Excel, R, or Octave )

c) Using OLNY the sensitivity analysis report you obtained in doing (b) above and WITHOUT re-solving the problem with the Excel Solver, answer ( with brief explanation ) the following questions :

i) If soybean availability changes from 200 to 198 pounds, what would be the change in the optimal objective function value? (ans: 420 + (-2 * -1.3)) = 2.6. Profit is increased by $2.6)

ii) if soybean availability changes from 200 to 202 pounds, what would be the change in the optimal objective function value? ( ans : I don't know)

黃毓民頻道230集 - 第6節.wmv (18 Sept 2010 )
http://www.youtube.com/watch?v=w0J3hDNs1yU&feature=youtube_gdata

まちぶせ　石川ひとみ
http://www.youtube.com/watch?v=eS-rIMs2jhA&feature=related

林天蔚 : 隋唐史新論, 香港, 學津書店有貨
香港人要有匪氣。香港既已回歸中共，要與中共糾纏，港府和香港人必要時就要耍出一股匪氣 ( r-mindset)。香港人要有匪氣。

狙擊《十八仝人》　梁穎禮被控@蘋果日報 ( 2010年 09月16日)
http://hk.apple.nextmedia.com/template/apple/art_main.php?iss_id=20100916&sec_id=4104&subsec_id=11867&art_id=14455414

http://fm101hk.org/blog/

Schiller ( 席勒 ) 對人的基本看法：

(1)人具有理性與感性兼而有之的天性。席勒認為我們可以在人的身上分辨出兩個因素，一是持久不變的 「 位格」（Person ; person），另一則是經常變化的「 狀態」（ Zustand ; condition）。（註十五 ）

人不是絕對的存在（ 只有在純對存在一種的身上，位格與狀態才是同一的）而是有限的存在，但人亦有人之所以為人的地方，這個就是人性中不變的地方。

「『 位格』是在永遠保持恆定的自我中顯示自我的，而且只在這種永遠保持恆定的自我中顯示自己，它是不能變的，它不可能在時間中開始；相反，倒是時間必須在它之中開始，因為變化必須以一個保持恆定的東西為根據。」那麼人為什麼還有「 狀態」的變化呢？

因為人不是永恆的，既不是永恆的，就有時間的變化。「 一切狀態，一切特定的存在都是在時間中形成的；況且人又有知覺，可以接受在空間上外於其身的各種物質材料，因此「人只有在變化時他才存在」，這是指狀態的「實在性」而言。

頗類似康德的名言：「 無內容的思想是空的，無概念的直觀是瞎的。」席勒亦以此認識論上的標準來敘述「 位格」與「 狀態 」之間的關係。

他認為人的位格若脫離了一切感性材料，就不過只是一種有無限外顯可能性的天稟，在不觀照，不感覺的情況下，人只不過是形式和空洞的功能。

在另一方面來說，人要是只有「狀態」，或是說人的感性與 理性完全孤立，那他就僅是在感覺、在渴求，他就只不過是世界（ 即完全被動，而無創造的主動性）。

所以為了不只是世界，人必須給物質加上形式；為了不只是成為形式，人必須把自身天稟變成現實。在形式轉化為現實的時候，人要創造時間；要給物質加上形式，人就得再揚棄時間。