suppose the cost of producing x (in thousands) of pens is given by C = x^2 - 5x - 1000. how many pens must be produced for the cost to be at most 40 000

Question

need answers fast pls asap with solutions

Answer 1

Hi Kobe, the inequality to solve is: x^2 - 5x -1000 must be less than or equal to 40000.

x^2 - 5x - 1000 <= 40000

Subtract 40000 from both sides:

x^2 - 5x - 41000 <= 0

Factor:

(x - 205) * (x + 200) <= 0

Use the zero product rule to solve for x:

x - 205 = 0

x = 205

x + 200 = 0

x = -200, we can discard this answer since the number of pens must be positive.

205,000 pens must be produced for the cost to be less than or equal to 40000.

Questions?