Acompany can manufacture x x hundred items for a total cost of c = 500 + 1100 x − 100 x 2 c=500+1100x-100x2. find x x if the total cost is $ 2 , 300 $2,300.

We are given the equation:

c = 500 + 1100 x – 100 x^2

Solve for x given the value of c = 2300

Rearrange and substitute:

- 100 x^2 + 1100 x + 500 = 2300

Divide everything by -100:

x^2 – 11 x – 5 = - 23

x^2 – 11 x = - 18

Completing the square:

(x – 11/2)^2 = - 18 + (11/2)^2

x – 11/2 = ±3.5

x = 2, 9

So x is 2 or 9

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step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v