AlAl EanonEanon recently opened a new doughnut shop near$$ Cornwall, England. He sells doughnuts in boxes of four. The average price of a doughnut box is $$$$3\mathrm{.}253\mathrm{.}25,$ and each box costs AlAl an average of $ $2\mathrm{.}25$$$2\mathrm{.}25.$ He hired two assistants at a monthly salary of $ $4$ comma $500$$$4,500$ per assistant. His$$ rent, utilities, and other fixed operating costs are $ $10$ comma $000$$$10,000$ per month.

AlAl is considering selling hamburgers along with doughnuts to further diversify his menu and attract more customers. The price of each hamburger will be $ $0\mathrm{.}96$$$0\mathrm{.}96.$ AlAl will buy buns for $ $0\mathrm{.}72$$$0\mathrm{.}72$ per dozen and ground beef for $ $2\mathrm{.}88$$$2\mathrm{.}88$ per kg$.$ Each kg of ground beef will make eighteight hamburgers. Other ingredients will cost an average of $ $0\mathrm{.}14$$$0\mathrm{.}14$ per hamburger. AlAl will also need to hire a$$ part$-$time cook at $ $800$$$800$ per month. Other additional fixed costs will run about $ $250$$$250$ a month.

Read the requirements LOADING... $.$

Question content area bottom

Part $1$

Requirement $1.$ If AlAl sells only$$ doughnuts, then how many boxes of doughnuts does he have to sell every month to earn a profit of $ $650$ question mark $$650?$

Begin by determining the formula used to calculate the target sales volume in units.

$($

Fixed expenses

$+$

Target profit

$)/$

$=$

Target sales in units

Part $2$

$$Now$,$ determine how many boxes AlAl has to sell every month to earn a profit of $ $650$$$650.($Round your answer to the nearest whole$$ number.$)$

Sales $($in numbers of boxes of doughnuts$)$ needed to earn target profit:

boxes

Part $3$

Requirement $2.$ If AlAl sells only$$ doughnuts, then how many boxes of doughnuts does he have to sell every month to earn a profit of $88\%$ on$$ sales? $($Round your answer to the nearest whole$$ number.$)$

Sales $($in numbers of boxes of doughnuts$)$ needed to earn target profit of $8\%$ on sales:

boxes

Part $4$

Requirement $3.$ Suppose AlAl decides to add hamburgers to his menu. How many hamburgers does he need to sell to break even on the$$ hamburgers? Assume that there is no effect on doughnut sales. $($Round your intermediate calculations to the nearest cent and round your answer to the nearest whole$$ number.$)$

Sales $($in number of hamburgers$)$ needed to break even:

hamburgers

Part $5$

Requirement $4.$ The main reason AlAl wanted to add hamburgers to his menu was to attract more customers. Suppose that $2$ comma $9002,900$ extra customers came to his shop each month because of the availability of hamburgers and that each of them bought one hamburger and $22$ boxes of doughnuts on an average. Compute the added profit$($or loss$)$ generated by these extra customers. $($Use a minus sign or parentheses for an added$$ loss.$)$