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A publishing company prints newspapers and magazines. Let N represent the number of newspapers and M represent the number of magazines the company can print with its daily supply of ink cartridges. 0.5 N+2.5 M <= 6000 The company wants to print 8000 newspapers daily. How many magazines at most can the company print daily with the remaining number of ink cartridges? Choose 1 answer: (A) The company can print 800 magazines at most. (B) The company can print 2500 magazines at most. (C) The company can print 6000 magazines at most. D The company can print 8000 magazines at most.

A publishing company prints newspapers and magazines.\newlineLet N N represent the number of newspapers and M M represent the number of magazines the company can print with its daily supply of ink cartridges.\newline0.5N+2.5M≤6000 0.5 N+2.5 M \leq 6000 \newlineThe company wants to print 80008000 newspapers daily. How many magazines at most can the company print daily with the remaining number of ink cartridges?\newlineChoose 11 answer:\newline(A) The company can print 800800 magazines at most.\newline(B) The company can print 25002500 magazines at most.\newline(C) The company can print 60006000 magazines at most.\newline(D) The company can print 80008000 magazines at most.

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Q. A publishing company prints newspapers and magazines.\newlineLet N N represent the number of newspapers and M M represent the number of magazines the company can print with its daily supply of ink cartridges.\newline0.5N+2.5M≤6000 0.5 N+2.5 M \leq 6000 \newlineThe company wants to print 80008000 newspapers daily. How many magazines at most can the company print daily with the remaining number of ink cartridges?\newlineChoose 11 answer:\newline(A) The company can print 800800 magazines at most.\newline(B) The company can print 25002500 magazines at most.\newline(C) The company can print 60006000 magazines at most.\newline(D) The company can print 80008000 magazines at most.
  1. Understand the inequality: Understand the given inequality and what it represents.\newlineThe inequality 0.5N+2.5M≤60000.5N + 2.5M \leq 6000 represents the maximum number of newspapers (NN) and magazines (MM) that the company can print with its daily supply of ink cartridges. The coefficients 0.50.5 and 2.52.5 represent the amount of ink used per newspaper and per magazine, respectively.
  2. Substitute number of newspapers: Substitute the number of newspapers the company wants to print daily into the inequality.\newlineThe company wants to print 80008000 newspapers daily, so we substitute N=8000N = 8000 into the inequality:\newline0.5×8000+2.5M≤60000.5 \times 8000 + 2.5M \leq 6000.
  3. Perform multiplication for newspapers: Perform the multiplication to find the amount of ink used for the newspapers.\newline0.5×8000=40000.5 \times 8000 = 4000.\newlineSo, the inequality becomes:\newline4000+2.5M≤60004000 + 2.5M \leq 6000.
  4. Subtract ink used for newspapers: Subtract the amount of ink used for the newspapers from the total ink available to find the ink available for magazines.\newline6000−4000=20006000 - 4000 = 2000.\newlineThis means that there are 20002000 units of ink available for printing magazines.
  5. Solve for number of magazines: Solve for MM, the number of magazines the company can print with the remaining ink.\newline2.5M≤20002.5M \leq 2000.\newlineTo find MM, divide both sides of the inequality by 2.52.5:\newlineM≤20002.5M \leq \frac{2000}{2.5}.
  6. Calculate maximum number of magazines: Calculate the maximum number of magazines the company can print.\newline20002.5=800\frac{2000}{2.5} = 800.\newlineSo, the company can print at most 800800 magazines daily with the remaining ink cartridges.

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