WeBWork MAA Logped in a rppoz22 ATHEMATICAL A IATION OF AVERICA MAIN MENU wetwor

Question

WeBWork MAA Logped in a rppoz22 ATHEMATICAL A IATION OF AVERICA MAIN MENU wetwork me 123518 hw1711 Courses HW17: Problem 11 Prolam 11 User Settng Hioblerm Let Gradcs wll remain vacant for eacn 4 dollar increase in rent Similany, one adcitional unit will be cocupied for each 4 dollar decrease in rent. Whar rent shouid the manager chame to maximize revenue? Pienew ty swesutaral Arewers Problem2 ou have attempted this problem C times ou have unlilmnod attempts nemaring Problem 4 v' Problem?v' Problem6 Problems? Problem roblam 5 E O lype here to search

Explanation / Answer

rent=472 -4x

Room occupied = 80+x

Find revenue as

R(x) = (472-4x)(80+x)

R(x) = -4x² +152x +37760

To maximize, find derivative and set to 0, as

-8x +152 =0

8x =152

x= 152/8

x =19

hence

rent=472 -4*19 = $396

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