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Alice, a purchasing agent for a high-tech firm, is ordering computers for a new branch office. Laptops cost $750\$750 apiece and desktop computers cost $410\$410 apiece. The budget for the computers is no more than $22,000\$22,000.\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) 750x+410y22,000750x + 410y \geq 22,000\newline(B) 750x×410y22,000750x \times 410y \geq 22,000\newline(C) 750x×410y22,000750x \times 410y \leq 22,000\newline(D) 750x+410y22,000750x + 410y \leq 22,000

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Q. Alice, a purchasing agent for a high-tech firm, is ordering computers for a new branch office. Laptops cost $750\$750 apiece and desktop computers cost $410\$410 apiece. The budget for the computers is no more than $22,000\$22,000.\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) 750x+410y22,000750x + 410y \geq 22,000\newline(B) 750x×410y22,000750x \times 410y \geq 22,000\newline(C) 750x×410y22,000750x \times 410y \leq 22,000\newline(D) 750x+410y22,000750x + 410y \leq 22,000
  1. Calculate Laptop Cost: Laptops cost $750\$750 each, so the total cost for laptops is 750750 times the number of laptops xx, which is 750x750x.
  2. Calculate Desktop Cost: Desktop computers cost $410\$410 each, so the total cost for desktop computers is 410410 times the number of desktop computers yy, which is 410y410y.
  3. Set Total Budget Limit: The total budget is no more than $22,000\$22,000, so the combined cost of laptops and desktop computers must be less than or equal to $22,000\$22,000.
  4. Formulate Inequality: The inequality that represents this situation is the sum of the cost of laptops and desktop computers being less than or equal to $22,000\$22,000, which is 750x+410y22,000750x + 410y \leq 22,000.

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