Hyundai Motors is considering three sites$$A$,$B$,$ and Cat which to locate a factory to build its new electric car batteries. The goal is to locate at a$$ 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

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 is recommended$=$

$$

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

Part $3$

$$b$)$ The value of$$ volume, V$,$ of production below which site is recommended$=$

$$

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

Part $4$

$$c$)$ Over what range of volume is site $$optimal$?$

A$.$

Site is never optimal because its cost line always exceeds that of A or C for all volume levels.

B$.$

Site is optimal for volumes from to batteries.

C$.$

Site is optimal for volumes above batteries.

D$.$

Site is always optimal because its cost line is always below that of A and C for all volume levels.