MS5220 Management Science Week 1 Homework assignment

MS5220 Management Science Week 1 Homework assignment
You need to submit assignment every week. Buy the textbook

Mrs. Chan wants to make some cakes and homemade bread for the bake sales this afternoon. However, she does not have time to go to the store to get ingredients ,and she has only a short time to bake things in her oven.

Because cakes and breaks require different baking temperatures, she cannot bake them simultaneously, and she has only 3 hours available to bake.

A cake requires 3 cups of flour, and a loaf of break requires 8 cups;Marie has 20 cups of flour.

A cake requires 45 minutes to bake, and a loaf of break requires 30 minutes.

At the bake sale, a cake sells for $10 and a loaf of bread sells for $6. Mrs. Chan wants to decide how many cakes and loaves of bread she should make.

a) formulate a linear programming model for the problem.
b) Solve this model using graphical analysis.

adapted from , page 78-79 of the textbook

香港人的 "次 " 主權處境

沙特用「 鎖鏈下的奴隸」的故事說明 人的處境 。

鎖鏈下的 奴隸是自由的 ：他可以立志 砸斷鎖鏈;這意味著, 鎖鏈的意義本身，是根據他選擇的目的而顯現：選擇繼續當奴隸，或者 選擇冒最大的危險，跳出奴隸的地位。

舉例說，他選擇了反抗，那麼，" 奴隸的地位" 對這種反抗來說，自始就不是一種 障礙，它就只能透過反抗 方可獲得 其意義 和 伴隨的逆境。

恰恰因為反抗 和 在反抗過程中 死去的奴隸的 生命是 自由的生命 (free life )，恰恰因為 被一個自由謀畫 ( free project )啟發的 處境 ( situation ) 是 充實的 和 具體的，恰恰因為這個人生迫切 和 首要的 問題是:「 我能否達到我的目的?」