Question

Tender Announcement of Vending Machines at MetroBus Stops Istanbul Metropolitan Municipality (IMM) decided to rent out spots at MetroBus stops for vending machines to meet traveler demands and increase revenue. To ensure transparency and equal treatment, a tender was published on IMM's website. UniVEND saw this opportunity and gave the proposal to IMM. UniVEND's proposal was accepted and the company started to operate in all metrobus stops. Now it is time for you to find optimal plan to locate the vending machines in 8 MetroBus stops According to the agreement: UniVEND is allowed to occupy limited area. For every UniVEND is can occupy at least IMM wants the company to serve at least The agreement is valid for a year. i.e UniVEND will be able to restock the machin UniVEND annually pa n every MetroBus stop. 25,000 TL to IMM. 2 m42 and at most 16 m 2 half of the max. demand. (Hint: Min. Demand- Max. Demand/2) 365 days es 4 times a day Also rent for 1 machine is 20,000 TL per year For additional information see the tables below. Pts Answers UniVEND has a budget of 12,000,000 TL for this project. In order to maximize the profit, find the optimal plan and report the number of machines in the following MetroBus stops. Additional information is provided below Sogutlucesme Fikirtepe Uzuncayir Acibadem Altunizade Burhaniye Mah Bogazici Koprusu Zincirlikuyu Max. Daily Demand for Water Additional Information MetroBus Stops Rent for 1 mA2: Rent for 1 machine: Cost of water: Price of water: Area per machine: Capacity of 1 machine Restocking Capacity 25,000.00 annually 20,000.00 annually Sogutlucesme Fikirtepe Uzuncayir Acibadem Altunizade Burhaniye Mah. Bogazici Koprusu Zincirlikuyu 20,500 2,500 22,000 7,500 10,500 2,000 12,000 27,000 0.35 one bottle 0.50 one bottle 1.00 mA2 bottle of water times a day 250.00 4.00

Answer 1

1.A . Which Metro Bus stop has the highest daily demand of water : Zincirlikuyu with 27,000

1.B.Which Metro Bus stop has the lowest daily demand of water : BurhaniyeMah. 2,000

1.C What is the total daily demand of water: 1,04,000.

Answer 2)

Metro Bus	Max Daily demand	Capacity of machine	Restroing capacity	total capacity of machine (250*4)	Number of machine=Max demand/Total capacity	Number of machine (rounding)	rent of space(@25000 TL)	Rent of machine(@ 20000)	Total rent cost	Cost of water (@0.35)	Total annual cost	Revenue of sales(@0.50)	Profit(Revenue-Total cost)
Sogulucesme	20500	250	4	1000	20.5	21	525000	420000	945000	2618875	3563875	3741250	177375
Flkirtepe	2500	250	4	1000	2.5	3	75000	60000	135000	319375	454375	456250	1875
Uzuncayir	22000	250	4	1000	22	22	550000	440000	990000	2810500	3800500	4015000	214500
Acibadem	7500	250	4	1000	7.5	8	200000	160000	360000	958125	1318125	1368750	50625
Altunizade	10500	250	4	1000	10.5	11	275000	220000	495000	1341375	1836375	1916250	79875
Burhaniye Mah.	2000	250	4	1000	2	2	50000	40000	90000	255500	345500	365000	19500
Bogazici Kprusu	12000	250	4	1000	12	12	300000	240000	540000	1533000	2073000	2190000	117000
Zincirlikuyu	27000	250	4	1000	27	27	675000	540000	1215000	3449250	4664250	4927500	263250
Total demand	104000							Total Cost	4770000			Total Profit	924000
	SUM(C2:C9)							Budget	12000000
								Budget Left(budget-Total cost)	7230000

Answer 3)

Budget Left(budget-Total cost)

7230000