Vincent Smudge, an avant-garde New York artist,creates "living sculpture" by smearing paint slowly all over himself.S hours of "living sculpture" can be created by S = min{L, T/3}, where L is hours of labor by Mr.Smudge and T is tubes of water-soluble paint.Since Mr.Smudge is a highly renowned artist, his labor costs $50 per hour, while paint costs $10 per tube.Using a $3,000 grant from the National endowment for the Arts, how many hours of "living sculpture" can Mr.Smudge create?
A)50
B)56.25
C)37.50
D)750
E)2,250

Question

Quizplus · Accepted Answer

First, we need to find the maximum number of tubes of paint Mr. Smudge can buy with the $3,000 grant:
$3,000 / $10 per tube = 300 tubes of paint

Then, we can use the formula given to find the number of hours of "living sculpture" Mr. Smudge can create:
S hours = (300/3) * (50/60) = 37.50

Therefore, Mr. Smudge can create 37.50 hours of "living sculpture" with the $3,000 grant. The best choice is C.

Vincent Smudge, an Avant-Garde New York Artist,creates "Living Sculpture" by Smearing