The Fulcrum Company produces decorative swivel platforms for home televisions. If Fulcrum produces $40$ million units, it estimates

that it can sell them for $$100$ each. The variable production costs are $$65$ per unit, whereas the fixed production costs are $$1\mathrm{.}05$

billion. Which of the following statements is true?

A$.$ Increasing the fixed production costs by $10$ percent will result in a lower sensitivity of operating earnings to changes in units

produced and sold.

B$.$ The Fulcrum Company's degree of operating leverage is $1\mathrm{.}333.$

C$.$ If the Fulcrum Company increases production and sales by $5$ percent, its operating earnings are expected to increase by $20$

percent.

D$.$ The Fulcrum Company produces a positive operating income if it produces and sells more than $25$ million swivel platforms.