The cost c in dollars of manufacturing x bicycles at a production plant is given by the function shown below. c(x)equals=3 x squared minus 900 x plus 81 comma 0003x2−900x+81,000 a. find the number of bicycles that must be manufactured to minimize the cost. b. find the minimum cost.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1