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A business student at Nowledge College must complete a total of 65 courses to graduate. The number of busi-ness courses must be greater than or equal to 23. The number of nonbusiness courses must be greater than or equal to 20. The average business course requires a textbook costing $60 and 120 hours of study. Non-business courses require a textbook costing $24 and 200 hours of study. The student has $3,000 to spend on books.

Respuesta :

Answer:

69

Step-by-step explanation:

Parrain

Based on the constraints and objective function that apply to the business student at Nowledge College, the set of linear equations are:

  • 60x + 24y ≤ 3,000
  • x + y ≥ 65
  • x ≥ 23
  • y ≥ 20

What set of linear equations describe the constraints?

Assume the number of business courses to be x and the number of nonbusiness courses to be y.

The total cost of both need to be less than $3,000 so the inequality is:

60x + 24y ≤ 3,000.

Both courses need to be at least 65 if the student wants to graduate so:

x + y ≥ 65

Business courses should be equal to or more than 23 and nonbusiness courses should be greater than or equal to 20 so:

x ≥ 23

y ≥ 20

Find out more on linear equations at https://brainly.com/question/12788590.

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