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Kimi, a purchasing agent for a high-tech firm, is ordering computers for a new branch office. Laptops cost $520\$520 apiece and desktop computers cost $460\$460 apiece. The budget for the computers is no more than $15,000\$15,000.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of laptops ordered\newliney=y = the number of desktop computers ordered\newlineChoices:\newline(A) 460x+520y≤15,000460x + 520y \leq 15,000\newline(B) 520x+460y≤15,000520x + 460y \leq 15,000\newline(C) 460x + 520y < 15,000\newline(D) 520x + 460y < 15,000

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Q. Kimi, a purchasing agent for a high-tech firm, is ordering computers for a new branch office. Laptops cost $520\$520 apiece and desktop computers cost $460\$460 apiece. The budget for the computers is no more than $15,000\$15,000.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of laptops ordered\newliney=y = the number of desktop computers ordered\newlineChoices:\newline(A) 460x+520y≤15,000460x + 520y \leq 15,000\newline(B) 520x+460y≤15,000520x + 460y \leq 15,000\newline(C) 460x+520y<15,000460x + 520y < 15,000\newline(D) 520x+460y<15,000520x + 460y < 15,000
  1. Calculate Laptop Cost: Determine the cost per laptop and the number of laptops ordered. Kimi is ordering laptops that cost $520\$520 each, and the number of laptops ordered is represented by xx. Therefore, the total cost for laptops is 520520 times the number of laptops, which is 520x520x.
  2. Calculate Desktop Cost: Determine the cost per desktop computer and the number of desktop computers ordered. Desktop computers cost $460\$460 each, and the number of desktop computers ordered is represented by yy. Therefore, the total cost for desktop computers is 460460 times the number of desktop computers, which is 460y460y.
  3. Combine Total Costs: Combine the costs for laptops and desktop computers to represent the total cost. The total cost for both laptops and desktop computers is the sum of the cost for laptops and the cost for desktop computers, which is 520x+460y520x + 460y.
  4. Apply Budget Constraint: Apply the budget constraint to the total cost. The budget for the computers is no more than $15,000\$15,000, which means the total cost for laptops and desktop computers must be less than or equal to $15,000\$15,000. Therefore, the inequality that describes this situation is 520x+460y≤15,000520x + 460y \leq 15,000.

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