Jelani needs to hire at least 12 artists for an upcoming event. He needs to hire visual artists, who will be paid $300 for the event, and performers, who will be paid $480 for the event. His budget for paying the artists is no more than $6,000. He must hire at least 4 visual artists and at least 3 performers. Which of the following does not satisfy all of the conditions described?Choose 1 answer:(A) 4 visual artists and 10 performers(B) 8 visual artists and 8 performers(C) $3000 visual artists and 3 performers(D) $3002 visual artists and 4 performers
Q. Jelani needs to hire at least 12 artists for an upcoming event. He needs to hire visual artists, who will be paid $300 for the event, and performers, who will be paid $480 for the event. His budget for paying the artists is no more than $6,000. He must hire at least 4 visual artists and at least 3 performers. Which of the following does not satisfy all of the conditions described?Choose 1 answer:(A) 4 visual artists and 10 performers(B) 8 visual artists and 8 performers(C) $3000 visual artists and 3 performers(D) $3002 visual artists and 4 performers
Understand the problem: Understand the problem and the conditions.Jelani needs to hire at least 12 artists with a budget of no more than $6,000. He must hire at least 4 visual artists at $300 each and at least 3 performers at $480 each. We need to check each option to see if it satisfies all the conditions.
Check option (A): Check option (A) - 4 visual artists and 10 performers.Calculate the total cost for 4 visual artists and 10 performers.Cost for visual artists = 4×$300=$1,200Cost for performers = 10×$480=$4,800Total cost = $1,200+$4,800=$6,000Check if the total number of artists is at least 12 and if the total cost is within the budget.Number of artists = 4+10=14 (which is at least 12)Total cost = $6,000 (which is within the budget)
Check option (B): Check option (B) - 8 visual artists and 8 performers.Calculate the total cost for 8 visual artists and 8 performers.Cost for visual artists = 8×$(300)=$(2,400)Cost for performers = 8×$(480)=$(3,840)Total cost = $(2,400)+$(3,840)=$(6,240)Check if the total number of artists is at least 12 and if the total cost is within the budget.Number of artists = 8+8=16 (which is at least 12)Total cost = $(6,240) (which is not within the budget)
Check option (B): Check option (B) - 8 visual artists and 8 performers.Calculate the total cost for 8 visual artists and 8 performers.Cost for visual artists = 8×$(300)=$(2,400)Cost for performers = 8×$(480)=$(3,840)Total cost = $(2,400)+$(3,840)=$(6,240)Check if the total number of artists is at least 12 and if the total cost is within the budget.Number of artists = 8+8=16 (which is at least 12)Total cost = $(6,240) (which is not within the budget)Since we have found an option that does not satisfy the conditions (option B), we do not need to check the remaining options. We can conclude that option B is the correct answer to the question prompt.
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