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Part $1$

Hyundai Motors is considering three siteslong dash$$A$,$B$,$ and Clong dashat which to locate a factory to build its new electric car batteries. The goal is to locate at a$$ minimum$-$cost site, where cost is measured by the annual fixed plus variable costs of production. Hyundai Motors has gathered the following$$ data:

$$

Site

Annualized Fixed Cost

Variable Cost per Battery Produced

Upper A

$ $11$ comma $000$ comma $000$

$ $2$ comma $400$

Upper B

$ $22$ comma $000$ comma $000$

$ $2$ comma $100$

Upper C

$ $30$ comma $000$ comma $000$

$ $1$ comma $050$

The firm knows it will produce between $0$ and$60,000$ batteries at the new plant each$$ year, but, thus$$ far, that is the extent of its knowledge about production plans.

Part $2$

$$a$)$ The value of$$ volume, V$,$ of production above which site Upper C is recommended$=$

$$

enter your response here batteries $($round your response up to the next whole$$ number$).$