ROYTEC MATH-0101

• What is the definition of Revenue?

  Total money from selling products
• How is Revenue calculated?

  By multiplying Price by Quantity sold
• If a scooter sells for $200 and 50 are sold, what is the Revenue?

  $10,000
• What factors increase Revenue?

  • Higher prices
  • Larger quantities sold
• What is the revenue formula?

  R(x) = Price * Quantity Sold
• What is the price-demand function in this context?

  p(x) = 500 - 2x
• How do you express Revenue as a function of x?

  R(x) = (500 - 2x) * x
• How does Revenue change with varying quantities sold?

  • Revenue increases with quantity up to a point
  • Revenue can decrease after a certain quantity
• What is the maximum Revenue when 125 scooters are sold?

  $31,250
• What type of function is the revenue function R(x)?

  It is a quadratic function
• How do you find the vertex of the revenue function?

  Using the formula $x =$$\frac{ - b}{2a}$
• What are the values of a and b in the vertex formula for R(x)?

  a = -2, b = 500
• What is the calculation for the vertex of the revenue function?

  $x =$$125$
• How do you calculate maximum Revenue using R(x)?

  Plug x = 125 into R(x)
• What is the Revenue when 100 scooters are sold?

  $30,000
• What is the Revenue when 150 scooters are sold?

  $30,000
• What is the relationship between quantity sold and Revenue in the context of this study material?

  • Revenue increases with quantity sold up to a maximum
  • After a certain point, Revenue may decrease