Question

The supply function for manufacturing a certain item is p(x)=x2+46x−66 {"version":"1.1","math":"$p\left(x\right)=x^2+46x-66$"}. The demand function is p(x)=56x+30 {"version":"1.1","math":"$p\left(x\right)=56x+30$"}. If x represents the number of items (in hundreds), what is the optimum number of items to be manufactured?

Answer 1

Your Qu is quite hard to read.

Guessing:

- supply function for manufacturing a certain item is: \(p_s(x)=x^2+ 46 x - 66 \)

- demand function is: \(p_d(x)=56x+30\)


" If x represents the number of items (in hundreds), what is the optimum number of items to be manufactured?"

i think you just need to set this up: \(p_s(x) = p_d(x)\)

IOW:

\(x^2+ 46 x - 66 = 56x+30\)

Quadratic Equation/Complete the Square etc