A medical equipment industry manufactures X-ray machines. The unit cost c
(the cost in dollars to make each X-ray machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function
c(x)=x^2-520x+72857. What is the minimum unit cost?
Do not round your answer

The minimum unit cost is $5257

Step-by-step explanation:

Minimization

Given a function c(x), the minimum value of c can be found by computing the first derivative. Equating the first derivative to zero will provide the critical points, or candidate point to maximize or minimize the function. The second derivative criterion will make clear which type of point was obtained.

The cost in dollars to produce x machines is

Find the first derivative

Equate to 0

Solving:

There must be produced 260 machines to minimize the cost. The minimum cost is

The minimum unit cost is $5257

answer: was that a question or answer?

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc