Zania Azlett and Angela Zesiger have joined forces to start$$ A&Z Lettuce$$ Products, a processor of packaged shredded lettuce for institutional use. Zania has years of food processing$$ experience, and Angela has extensive commercial food preparation experience. The process will consist of opening crates of lettuce and then$$ sorting, washing,$$ slicing, preserving, and finally packaging the prepared lettuce.$$ Together, with help from$$ vendors, they think they can adequately estimate$$ demand, fixed$$ costs, revenues, and variable cost per bag of lettuce. They think a largely manual process will have monthly fixed costs of $$40,000$ and variable costs of $$1\mathrm{.}75$ per bag. A more mechanized process will have fixed costs of $$75,000$ per month with variable costs of $$1\mathrm{.}25$ per bag. They expect to sell the shredded lettuce for $$2\mathrm{.}75$ per bag.

Part $2$

$$a$)$ The$$ break$-$even quantity in units for the manual process$=$

$$

$40000$ bags $($round your response to the nearest whole$$ number$).$

Part $3$

$$b$)$ The revenue for the manual process at the$$ break$-$even quantity$=$$

$$

$110000($round your response to the nearest whole$$ number$).$

Part $4$

$$c$)$ The$$ break$-$even quantity in units for the mechanized process$=$

$$

$50000$ bags $($round your response to the nearest whole$$ number$).$

Part $5$

$$d$)$ The revenue for the mechanized process at the$$ break$-$even quantity$=$$

$$

$137500($round your response to the nearest whole$$ number$).$

Part $6$

$$e$)$ For monthly sales of $55,000$bags$,$ for the option with manual$$ processing, A&Z Lettuce Products will have a profit of $$$

$$

$55000($round your response to the nearest whole number and include a minus sign if the profit is$$ negative$).$

Part $7$

$$f$)$ For monthly sales of $55,000$bags$,$ for the option with mechanized$$ processing, A&Z Lettuce Products will have a profit of $$$

$$

enter your response here $($round your response to the nearest whole number and include a minus sign if the profit is$$ negative$).$

Part $8$

$$g$)$ The quantity at which Zania and Angela are going to be indifferent between the manual and mechanized process$=$

$$

enter your response here bags $($round your response to the nearest whole$$ number$).$

Part $9$

$$h$)$ If the demand exceeds the point of$$ indifference, then Zania and Angela should prefer the option with

$$

manual

mechanized

processing.

Part $10$

If the demand stays below the point of$$ indifference, then Zania and Angela should prefer the option with

$$

mechanized

manual

processing.