The cost function for a certain company is C = 40x + 800 and the revenue is given by R = 100x − 0.5x2. (THIS IS TO THE SECOND POWER) Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $800.

  x = {40, 80}

Step-by-step explanation:

The profit equation is ...

  P = R - C = 100x -0.5x^2 -(40x +800)

  P = -0.5x^2 +60x -800

We want to find values of x such that P = 800

  800 = -0.5x^2 +60x -800

  1600 = -0.5x^2 +60x . . . . add 800

  -3200 = x^2 -120x . . . . . . . multiply by -2

  400 = x^2 -120x +3600 . . . . add 3600 to complete the square

  400 = (x -60)^2 . . . . . . write as a square

  ±20 = x -60 . . . . . . . . . take the square root

  x = 60 ± 20 = {40, 80}

The values of production level (x) that will create profit of $800 are 40 and 80 units.

9/12 is the answer because 3/4 times 3 each is 9/12

Do the math. she originally had 50 dollars on her gift card and she had 12 dollars left on her gift card after she finished her shopping spree. if you subtract 50 minus 12 you get thirty eight dollars as your answer. so therefore, ciara spent 38 dollars total o