The minimum points of the average variable cost and average total cost curves occur where

The marginal cost curve intersects the average variable cost curve (Q1,P1) and the average total cost curve (Q2,P2).*

Explanation:

The marginal cost represent the cost of producing one additional unit of output. The average variable cost is calculated by dividing total variable costs by the total output. The average total costs is calculated by dividing total costs by the total output.

In order to maximize accounting profits, a firm must sell its products or services at a price that equals marginal cost of production.

*See attached graph, I tried to draw it myself but bad things happened.

answer; /// i do believe that the above is (true)

x=3

step-by-step explanation:

this is really simple i saw that there was only one term (5x) and thought if that was 15 what would i have to multiply everything else to get it there? well if 5x became 15 then x would have to be 3 so plug the 3 in the x for the other equations and you get 15 for the other ones. so there you go. : )