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1. Let f(x) = -3x² + 9x + 5. Find the x-coordinate of the vertex.

   1.   ?    1.5
   2.   ?    -1.5
   3.   ?    -6
   4.   ?    5
   5.   ?    None of the answers given; click to see the solution.

2. Let f(x) = -3x² + 9x + 5. (This is the same function as in question #1.) Find the y-coordinate of the vertex.

   1.   ?    11.75
   2.   ?    25.25
   3.   ?    5
   4.   ?    -15.25
   5.   ?    None of the answers given; click to see the solution.

3. Let f(x) = -3x² + 9x + 5. (This is the same function as in question #1.) Find the y-intercept.

   1.   ?    (0, 5)
   2.   ?    (5, 0)
   3.   ?    (1.5, 11.75)
   4.   ?    (-.48, 0)
   5.   ?    (3.48, 0)
   6.   ?    None of the answers given; click to see the solution.

4. Let f(x) = -3x² + 9x + 5. (This is the same function as in question #1.) Find the x-intercepts.

   1.   ?    (-.48, 0) and (3.48, 0)
   2.   ?    (.48, 0) and (-3.48, 0)
   3.   ?    (.74, 0) and (2.26, 0)
   4.   ?    None of the answers given; click to see the solution.

5. The revenue function for a certain product is R(x) = -0.2x² + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. Determine the break-even points for the product to the nearest whole number.

   1.   ?    22 and 213
   2.   ?    22.33568 and 212.6643
   3.   ?    23 and 212
   4.   ?    1352 and 4778
   5.   ?    None of the answers given; click to see the solution.

6. The revenue function for a certain product is R(x) = -0.2x² + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. (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 < 22 and 213 < x < 300
   2.   ?    22 > x > 300
   3.   ?    22 < x < 213
   4.   ?    None of the answers given; click to see the solution.

7. The revenue function for a certain product is R(x) = -0.2x² + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. (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.   ?    22 < x < 213
   2.   ?    x < 22 and x > 213
   3.   ?    0 < x < 300
   4.   ?    None of the answers given; click to see the solution.

8. The revenue function for a certain product is R(x) = -0.2x² + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. (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.   ?    118
   2.   ?    163
   3.   ?    208
   4.   ?    5
   5.   ?    1811
   6.   ?    None of the answers given; click to see the solution.

9. The revenue function for a certain product is R(x) = -0.2x² + 65x and the cost function for this product is C(x) = 18x + 950. Both functions have domain 0 < x < 300. (These are the same functions as in question #5.) What is the amount of the maximum profit?

   1.   ?    $1811
   2.   ?    $118
   3.   ?    $7661.20
   4.   ?    None of the answers given; click to see the solution.