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1. Let f(x) = 2x² + 12x - 7. Find the x-coordinate of the vertex.

   1.   ?    -3
   2.   ?    3
   3.   ?    -6
   4.   ?    -7
   5.   ?    None of the answers given; click to see the solution.

2. Let f(x) = 2x² + 12x - 7. (This is the same function as in question #1.) Find the y-coordinate of the vertex.

   1.   ?    -25
   2.   ?    -61
   3.   ?    -7
   4.   ?    47
   5.   ?    None of the answers given; click to see the solution.

3. Let f(x) = 2x² + 12x - 7. (This is the same function as in question #1.) Find the y-intercept.

   1.   ?    (0,-7)
   2.   ?    (-7,0)
   3.   ?    (-3,-25)
   4.   ?    (.54,0)
   5.   ?    (-6.54,0)
   6.   ?    None of the answers given; click to see the solution.

4. Let f(x) = 2x² + 12x - 7. (This is the same function as in question #1.) Find the x-intercepts.

   1.   ?    (-6.54, 0) and (.54, 0)
   2.   ?    (-.54, 0) and (6.54, 0)
   3.   ?    (-5.35, 0) and (-.65, 0)
   4.   ?    None of the answers given; click to see the solution.

5. The revenue function for a certain product is R(x) = -0.3x² + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. Determine the break-even points for the product to the nearest whole number.

   1.   ?    23 and 120
   2.   ?    22.9897 and 120.3436
   3.   ?    22 and 121
   4.   ?    1451 and 4079
   5.   ?    None of the answers given; click to see the solution.

6. The revenue function for a certain product is R(x) = -0.3x² + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. (These are the same functions as in question #5.) For what outputs will the company have a loss? (Round answers to the nearest whole number.)

   1.   ?    0 < x < 23 and 120 < x < 200
   2.   ?    23 > x > 200
   3.   ?    23 < x < 120
   4.   ?    None of the answers given; click to see the solution.

7. The revenue function for a certain product is R(x) = -0.3x² + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. (These are the same functions as in question #5.) For what outputs will the company have a profit? (Round answers to the nearest whole number.)

   1.   ?    23 < x < 120
   2.   ?    x < 23 and x > 120
   3.   ?    0 <x < 200
   4.   ?    None of the answers given; click to see the solution.

8. The revenue function for a certain product is R(x) = -0.3x² + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. (These are the same functions as in question #5.) For how many items produced (to the nearest whole number) will the company have a maximum profit?

   1.   ?    72
   2.   ?    117
   3.   ?    162
   4.   ?    6
   5.   ?    711
   6.   ?    None of the answers given; click to see the solution.

9. The revenue function for a certain product is R(x) = -0.3x² + 70x and the cost function for this product is C(x) = 27x + 830. Both functions have domain 0 < x < 200. (These are the same functions as in question #5.) What is the amount of the maximum profit?

   1.   ?    $711
   2.   ?    $72
   3.   ?    $2371
   4.   ?    None of the answers given; click to see the solution.