Q$1.$ Break$-$even $(30$ points$)$

Ali Bey is thinking of openning a small copy shop. He collects the following information about this new business initiative; it costs $$5000$

to rent a copier machine per year, and other fixed costs to run the store $($rent$,$ electricity, stationary etc.$)$ will amount to $46,000TL$ per

month. Ali Bey also learned that it costs $1TL$ per page for the copying process and planning to sell this service for $4T\frac{L}{p}$age to the

customers. The store will work $250$ days a year and the copier machines are garanttied to process upto $100,000$ pages a year. Note that Ali

Bey needs to hire one employee per mahine that he rents and the salary of an employee $($including all benefits$)$ is $22,000$ TL$/$month$.|$

For simlicity assume $$1$ is $30$ TL$.$ But you are strongly advised to model it such that when the exchange rate changes, the new res are

calculated automatically.

Then answer the following questions:

$(20$ pt$)$ a$)$Assume Ali Bey rented a single copier; Calculate the annual profit of this store if the daily demand is $500,1000,1500$ and $2000$ pages of copies.

Provide a table for this, like:

$(10$ pt$)$ b$)$ If Ali bey rents $3$ copiers $($in order to reduce the waiting lines$)$ what would be the daily demand so that this store just breaks even in one years operations?Ali bey has a small manufacturing firm at the Organize Sanayi. One of his customers asks him if he could make a new product, called zamazingo, for them. Ali bey thinks, he needs to buy an zamazingo machine for production. He could buy the machine from Germany, Expo Co$.$ Expo Co$.$ sells the machine for $10,000.$ The current exchange rate is $1=6,30$ TL$.$ The machine uses advanced technology and its variable cost of producing zamazingo is not linear, but it is a function of yearly production. If the yearly production is Q units, then the per unit variable cost is $8$ LOG$($Q$)$ TL$.$ Note that the variable cost is in TL$,$ but the fixed cost is in $$s$.(6$ pt$)$ a$)$ What is the break$-$even quantity for this new product line, if Ali bey buys the machine from Expo Co$.?(4$ pt$)$ b$)$ If Ali bey thinks that he could sell only $5000$ units next year, what would be the max $/$TL$,$ exchange rate that the investment is still viable $($that is the break$-$even quantity will be $5000$ units$)?$