Neptune Company has developed a small inflatable toy it is anxious to introduce to its customers. The company$$s Marketing Department estimates demand for the new toy will range between $15,000$ units and $40,000$ units per month. The new toy will sell for $$9\mathrm{.}00$ per unit. Enough capacity exists in the company$$s plant to produce $20,000$ units of the toy each month. Variable expenses to manufacture and sell one unit would be $$5\mathrm{.}00,$ and incremental fixed expenses associated with the toy would total $$36,000$ per month.

Neptune has also identified an outside supplier who could produce the toy for a price of $$4\mathrm{.}00$ per unit plus a fixed fee of $$45,000$ per month for any production volume up to $20,000$ units. For a production volume between $20,001$ and $45,000$ units, the fixed fee would increase to a total of $$90,000$ per month.

Required:

Calculate the break$-$even point in unit sales assuming Neptune does not hire the outside supplier.

Note: Do not round your intermediate calculations.

How much profit will Neptune earn assuming:

It produces and sells $20,000$ units?

It does not produce any units and instead outsources the production of $20,000$ units to the outside supplier and then sells those units to its customers?

Calculate the break$-$even point in unit sales assuming Neptune plans to use all of its production capacity to produce the first $20,000$ that it sells and also commits to hiring the outside supplier to produce up to $20,000$ additional units.

Assume Neptune plans to use all of its production capacity to produce the first $20,000$ units it sells and also commits to hiring the outside supplier to produce up to $20,000$ additional units.

What total unit sales would Neptune need to achieve to equal the profit earned in requirement $2$a$?$

What total unit sales would Neptune need to achieve to attain a target profit of $$46,500$ per month?

How much profit will Neptune earn if it sells $40,000$ units per month?

How much profit will Neptune earn if it sells $40,000$ units per month and agrees to pay its marketing manager a bonus of $10$ cents for each unit sold above the break$-$even point from requirement $3?$

If Neptune outsources all production to the outside supplier, how much profit will the company earn if it sells $40,000$ units?