$($Break$-$even point and operating leverage$)$ Rockstar, Inc. manufactures a complete line of$$ men's and$$ women's casual shoes for independent merchants. The average selling price of its finished product is $$$$95$ per pair. The variable cost for this same pair of shoes is $$$$60.$ Footwear Inc. incurs fixed costs of $$$$190$ comma $000$ per year.

a$.$ What is the$$ break$-$even point in pairs of shoes sold for the$$ company?

b$.$ What is the dollar sales volume the firm must achieve to reach the$$ break$-$even point?

c$.$ What would be the$$ firm's operating profit or loss$($that is$,$ net operating$$ income$)$ at the following units of production$$ sold: $4$ comma $000$ pairs of$$ shoes? $10$ comma $000$ pairs of$$ shoes? $18$ comma $000$ pairs of$$ shoes?

Question content area bottom

Part $1$

a$.$ What is the$$ break$-$even point in pairs of shoes sold for the$$ company?

$$

enter your response here units$($Round to the nearest whole$$ number.$)$

Part $2$

b$.$ What is the dollar sales volume the firm must achieve to reach the$$ break$-$even point?

$$$

$$

enter your response here$($Round to the nearest$$ cent.$)$

Part $3$

c$.$ What would be the$$ firm's operating profit or loss before interest and taxes$($EBIT$)$ at $4$ comma $000$ pairs of shoes$$ sold? Enter a positive number for a profit and a negative number for a loss.

$$$

$$

enter your response here$($Round to the nearest$$ dollar.$)$

Part $4$

What would be the$$ firm's operating profit or loss before interest and taxes$($EBIT$)$ at $10$ comma $000$ pairs of shoes$$ sold? Enter a positive number for a profit and a negative number for a loss.

$$$

$$

enter your response here $($Round to the nearest$$ dollar.$)$

Part $5$

What would be the$$ firm's operating profit or loss before interest and taxes$($EBIT$)$ at $18$ comma $000$ pairs of shoes$$ sold? Enter a positive number for a profit and a negative number for a loss.

$$$

$$

enter your response here$($Round to the nearest$$ dollar.$)$