Warning: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead in /home/customer/www/collegeway.com.tw/public_html/wp-content/plugins/latex/latex.php on line 47

# A newspaper company currently charges $11... A newspaper company currently charges$11 a week to its subscribers, but is considering raising their price. The company found that the weekly revenue y can be modeled by the function



where x is the number of $.50 increases in the weekly price. a. Explain how to find the price that will maximize weekly revenue. What is the price? b. What is the maximum weekly revenue? c. Graph the function. Find the domain and range for the model in this situation. 這是個典型的 Quadratic Function Word Problem, 題目本身不難，但其中有幾個小地方卻又很容易做錯。題目的意思是說有個報社，每週的報紙收$11，他們現在想要漲價來提高獲利，可是漲價勢必會造成客戶的流失，那到底漲多少可以達到最大的獲利，題目中提供了一個 quadratic function 來預估
 這個函數我們可以展開獲得
由函數中我們知道，x square 前的數字是負的，則圖刑開口朝下，函數會有最大值，求最大值我們要先知道最大值是由 x 為多少的時候造成的" 這邊我們求得這時候我們得到的 x 為 10，代表什麼意思呢？很多人都沒把題目看清楚，直接當成調高 $10 元，而題目說 x 是調高價格的次數，而每次調高$.5元，因此是調高了  加上原本的價格是 $11，因此調整後的售價為 所以 (a) 問的售價就是$16；(b) 問的最大獲利就把 x 的值帶回函數可以得到 

Warning: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead in /home/customer/www/collegeway.com.tw/public_html/wp-content/plugins/latex/latex.php on line 47
0 回復

### 發表評論

Want to join the discussion?
Feel free to contribute!