Solve the problem.
-The manager of a concert hall estimates that 600 people attend each classical concert, that 1000 people attend each jazz concert, and that 300 people attend each rock concert. In any given month, the total of the number of classical concerts and the number of jazz concerts may not exceed 9 and the number of rock concerts must be no more than 8 . Furthermore there should be twice as many rock concerts as classical concerts in any given month. How many of each type of concert should there be in a month to maximize attendance?
A) 4 classical concerts, 5 jazz concerts, 8 rock concerts
B) 3 classical concerts, 6 jazz concerts, 6 rock concerts
C) 0 classical concerts, 9 jazz concerts, 8 rock concerts
D) 2 classical concerts, 7 jazz concerts, 4 rock concerts

Question

Quizplus · Accepted Answer

To maximize attendance, we need to maximize the number of people attending concerts. The constraints are: classical + jazz ≤ 9, rock ≤ 8, and rock = 2 * classical. Option A satisfies these constraints with 4 classical, 5 jazz, and 8 rock concerts, maximizing attendance.

Solve the Problem. -The Manager of a Concert Hall Estimates That 600 People