Min/Max Problems

This topic has expert replies
Legendary Member
Posts: 2218
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Min/Max Problems

by swerve » Mon Jun 05, 2023 3:10 pm

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Five friends visited a used book store and each friend purchased one book. No two friends paid the same amount for a book, and the lowest book price was \(\$1\). If the sum of all book prices was \(\$25\), what is the maximum price that any one book cost, rounded to the nearest dollar?

A. \(\$15\)
B. \(\$17\)
C. \(\$19\)
D. \(\$21\)
E. \(\$23\)

The OA is D

Source: Veritas Prep

Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Mon Jun 26, 2023 8:18 pm

Re: Min/Max Problems

by test_avoider » Mon Jun 26, 2023 8:43 pm
swerve wrote:
Mon Jun 05, 2023 3:10 pm
Five friends visited a used book store and each friend purchased one book. No two friends paid the same amount for a book, and the lowest book price was \(\$1\). If the sum of all book prices was \(\$25\), what is the maximum price that any one book cost, rounded to the nearest dollar?

A. \(\$15\)
B. \(\$17\)
C. \(\$19\)
D. \(\$21\)
E. \(\$23\)

The OA is D

Source: Veritas Prep
Let 0< x<y<z <1
A= max (to be found!!!)
B = 1.z
C= 1.y
D= 1.x
E= 1.0 (minimum, given)

A = 25.0 - (1.0+ 1.z +1.y +1.x )
= 21 - 0.a (where a = 0.x+0.y+0.z)

since A is to be maximized by taking round off therefore, A=21