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Worksheet: Finding the Maximum and Minimum Values of the Objective Function

Q1:

Given the graph below and that , , , and , determine at which point the function has its maximum using linear programming.

  • A
  • B
  • C
  • D

Q2:

Given the graph below and that , , , and , determine at which point the function has its minimum using linear programming.

  • A
  • B
  • C
  • D

Q3:

Given the graph below and that , , , and , determine at which point the function has its minimum using linear programming.

  • A
  • B
  • C
  • D

Q4:

Using linear programming, find the minimum and maximum values of the function given that , , , and .

  • AThe minimum value is 0, and the maximum value is 9.
  • BThe minimum value is , and the maximum value is 1.
  • CThe minimum value is , and the maximum value is 1.
  • DThe minimum value is , and the maximum value is .

Q5:

Determine the values of and that maximize the function . Write your answer as a point .

  • A
  • B
  • C
  • D