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) 9 visual artists and 3 performers (D) 13 visual artists and 4 performers

Question

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) 9 visual artists and 3 performers (D) 13 visual artists and 4 performers

Bytelearn · Accepted Answer

Understand the problem: Understand the problem and the conditions. Jelani needs to hire at least 12 artists with at least 4 visual artists and at least 3 performers. The budget is no more than $6,000. Visual artists are paid $300 each, and performers are paid $480 each. We need to check which option does not meet these conditions.Calculate total cost for option A: Calculate the total cost for option A (4 visual artists and 10 performers). Cost for visual artists = 4 * $300 = $1200 Cost for performers = 10 * $480 = $4800 Total cost for option A = $1200 + $4800 = $6000 Check if this meets the conditions: The total number of artists is 14, which is more than 12, and the budget is not exceeded.Calculate total cost for option B: Calculate the total cost for option B (8 visual artists and 8 performers). Cost for visual artists = 8 * $300 = $2400 Cost for performers = 8 * $480 = $3840 Total cost for option B = $2400 + $3840 = $6240 Check if this meets the conditions: The total number of artists is 16, which is more than 12, but the budget is exceeded.Calculate total cost for option C: Calculate the total cost for option C (9 visual artists and 3 performers). Cost for visual artists = 9 * $300 = $2700 Cost for performers = 3 * $480 = $1440 Total cost for option C = $2700 + $1440 = $4140 Check if this meets the conditions: The total number of artists is 12, which is the minimum required, and the budget is not exceeded.Calculate total cost for option D: Calculate the total cost for option D (13 visual artists and 4 performers). Cost for visual artists = 13 * $300 = $3900 Cost for performers = 4 * $480 = $1920 Total cost for option D = $3900 + $1920 = $5820 Check if this meets the conditions: The total number of artists is 17, which is more than 12, and the budget is not exceeded.Determine unsatisfactory option: Determine which option does not meet all the conditions. Option B exceeds the budget, so it does not satisfy all of the conditions.

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