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Jelani needs to hire at least 1212 artists for an upcoming event. He needs to hire visual artists, who will be paid $300\$300 for the event, and performers, who will be paid $480\$480 for the event. His budget for paying the artists is no more than $6,000\$6,000. He must hire at least 44 visual artists and at least 33 performers. Which of the following does not satisfy all of the conditions described?\newlineChoose 11 answer:\newline(A) 44 visual artists and 1010 performers\newline(B) 88 visual artists and 88 performers\newline(C) $300\$30000 visual artists and 33 performers\newline(D) $300\$30022 visual artists and 44 performers

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Q. Jelani needs to hire at least 1212 artists for an upcoming event. He needs to hire visual artists, who will be paid $300\$300 for the event, and performers, who will be paid $480\$480 for the event. His budget for paying the artists is no more than $6,000\$6,000. He must hire at least 44 visual artists and at least 33 performers. Which of the following does not satisfy all of the conditions described?\newlineChoose 11 answer:\newline(A) 44 visual artists and 1010 performers\newline(B) 88 visual artists and 88 performers\newline(C) $300\$30000 visual artists and 33 performers\newline(D) $300\$30022 visual artists and 44 performers
  1. Understand the problem: Understand the problem and the conditions.\newlineJelani needs to hire at least 1212 artists with a budget of no more than $6,000\$6,000. He must hire at least 44 visual artists at $300\$300 each and at least 33 performers at $480\$480 each. We need to check each option to see if it satisfies all the conditions.
  2. Check option (A): Check option (A) - 44 visual artists and 1010 performers.\newlineCalculate the total cost for 44 visual artists and 1010 performers.\newlineCost for visual artists = 4×$300=$1,2004 \times \$300 = \$1,200\newlineCost for performers = 10×$480=$4,80010 \times \$480 = \$4,800\newlineTotal cost = $1,200+$4,800=$6,000\$1,200 + \$4,800 = \$6,000\newlineCheck if the total number of artists is at least 1212 and if the total cost is within the budget.\newlineNumber of artists = 4+10=144 + 10 = 14 (which is at least 1212)\newlineTotal cost = $6,000\$6,000 (which is within the budget)
  3. Check option (B): Check option (B) - 88 visual artists and 88 performers.\newlineCalculate the total cost for 88 visual artists and 88 performers.\newlineCost for visual artists = 8×$(300)=$(2,400)8 \times \$(300) = \$(2,400)\newlineCost for performers = 8×$(480)=$(3,840)8 \times \$(480) = \$(3,840)\newlineTotal cost = $(2,400)+$(3,840)=$(6,240)\$(2,400) + \$(3,840) = \$(6,240)\newlineCheck if the total number of artists is at least 1212 and if the total cost is within the budget.\newlineNumber of artists = 8+8=168 + 8 = 16 (which is at least 1212)\newlineTotal cost = $(6,240)\$(6,240) (which is not within the budget)
  4. Check option (B): Check option (B) - 88 visual artists and 88 performers.\newlineCalculate the total cost for 88 visual artists and 88 performers.\newlineCost for visual artists = 8×$(300)=$(2,400)8 \times \$(300) = \$(2,400)\newlineCost for performers = 8×$(480)=$(3,840)8 \times \$(480) = \$(3,840)\newlineTotal cost = $(2,400)+$(3,840)=$(6,240)\$(2,400) + \$(3,840) = \$(6,240)\newlineCheck if the total number of artists is at least 1212 and if the total cost is within the budget.\newlineNumber of artists = 8+8=168 + 8 = 16 (which is at least 1212)\newlineTotal cost = $(6,240)\$(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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