Question 25577: Promoters of a rock concert must sell at least 25,000 tickets priced at $35 and $50 per ticket. Also, the promoters must take in at least $1,025,000 in ticket sales. Find a system of inequalities that describes all possibilities for selling the $35 tickets and the $50 tickets. Find at least one solution for the number of tickets that can be sold and show that your solution satisfies both of the promoter’s needs.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Let number of $35 tickets be "x"
The number of $50 tickets is "25000-x"
Value of $35 tickets is 35x
Value of $50 tickets is 50(25000-x)=1,250,000-50x
INEQUALITY:
Value of 35 + Value of 50 >= 1,025,000
35x+1,250,000-50x>=1,025,000
-15x >=-225,000
x>=15,000 (number of $35 tickets sold)
25000-x>=10,000(number of $50 tickets sold)
I'll leave it to you to shown that if you choose
a value of x>=15000 the inequality condition is met.
Cheers,
Stan H.
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