Re: 麻煩經濟達人解惑.... - 經濟

※ 引述《blueoceaning (Maggie)》之銘言：
: ※ [本文轉錄自 B97303XXX 看板]
: 作者: blueoceaning (Maggie) 看板: B97303XXX
: 標題: 麻煩經濟達人解惑....
: 時間: Sat Mar 28 18:05:44 2009
: suppose beverage customers spend an average $4 on beverages with
: an 80 percent gross margin, and food customers spend an average $5 on
: sandwiches and salads with a 50 percent gross margin.
: In both cases, gross magin is
: simply price minus input cost and does not reflect variable labor and related
: expenses.
: Customer traffic throughout the day is as follows:
: Hour of day Beverage customers Food customers Profit Contribution$
: 06.00--------- 150 -------------- 50 ------------- 605.00
: 07.00--------- 250 -------------- 100 ------------- 1050.00
: 08.00--------- 200 --------------- 75 ------------- 827.50
: 09.00--------- 175 --------------- 50 -------------- 685.00
: 10.00--------- 100 -------------- 25 -------------- 382.50
: 11.00--------- 200 --------------- 75 -------------- 827.50
: 12.00--------- 200 --------------- 175 --------------1077.50
: 13.00--------- 125 --------------- 150 -------------- 775.00
: 14.00--------- 75 --------------- 75 -------------- 427.50
: 15.00--------- 50 --------------- 50 -------------- 285.00
: 16.00--------- 100 --------------- 25 -------------- 382.50
: 17.00--------- 75 --------------- 50 -------------- 365.00
: 18.00--------- 50 --------------- 75 -------------- 347.50
: 19.00--------- 50 --------------- 25 -------------- 222.50
: 20.00--------- 25 --------------- 25 -------------- 142.50
: 21.00--------- 25 --------------- 10 -------------- 105.00
: 22.00--------- 25 --------------- 10 -------------- 105.00
: TOTAL 1875 1045 8612.5
: A.Assume labor, electricity, and other incremental costs are $175 per
: hour of operation;
: calculate the profit-maximizing hours of operation per day.z
: B.Assume the store is open 365 days per year, and that incremental
: rental costs are $2 million per year. Calculate optimal incremental
: profit. Should Coffee store close this year?
:

版主很抱歉,不熟悉板規

不好意思補上個人想法
A. 依據MR=MC會到達利潤最大值
而依據profit contributions的結果 利潤最大的小時是12.00 的該單位
若1077.5-175=902.5 極為該天利潤的最大時刻
若導出函數=>利潤=-175+0.8Q1+0.5Q2 這樣對嗎? 是否還有畫圖形且算出
斜率為零時利潤最大??
B. 8612.5-2975=5637.5
5637.5-5555.5=82
82*12=USD 984 所以可以繼續營運 這樣對嗎??

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