Vector Operations Quiz

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Questions and Answers

What is the magnitude of the vector P?

  • $700$ units
  • $300$ units
  • $500$ units (correct)
  • $1000$ units

What is the market demand equation for the cartel?

  • P = 60 + 2(y₁ + y₂)
  • P = 60 - 2(y₁ + y₂) (correct)
  • P = (60 - 2y₁) - (60 - 2y₂)
  • P = 2(60 - y₁ - y₂)

If the profit maximization condition for the cartel is MR = MC₁ = MC₂, what are the marginal cost functions for the two firms?

  • MC₁ = 2y₁², MC₂ = 8y₂
  • MC₁ = y₁², MC₂ = 4
  • MC₁ = y₁², MC₂ = 4y₂ (correct)
  • MC₁ = 2y₁, MC₂ = 4y₂

If the price of good X is $4, the price of good Y is $2, and the consumer's income is $200, what is the budget constraint equation?

<p>4x + 2y ≤ 200 (A)</p> Signup and view all the answers

If the consumer's utility function is given as u = 5x⁴y², what is the marginal rate of substitution of Y for X (MRS_x,y)?

<p>4x³y²/5x⁴y (B)</p> Signup and view all the answers

Given C = 2000, G = 500, T = 400, NX = 200, and Yd = 0.25GDP, what is the value of GDP?

<p>GDP = 8000 (D)</p> Signup and view all the answers

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