Calvin lives in San Francisco, and takes a direct bus to and from work each weekday. He can choose from several options of payment:
If he doesn't use the bus other than commuting to work, which option will be cheapest for him?
Details and assumptions
If you find this problem interesting, you might want to look at Part II .
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yeah.tahts right!
Right.
obviously we will estimate the cost for all weekdays ..
exactly
right
exactly!
right
correct
correct
yessss
yes
yess
correct
ye swag
1 week = 5 days (weekdays only), 1 month = 4 weeks, then 1 month = 4x5 = 20 days If we calculate the expenses of 1 month: -one way trip: (2x20)+(2x20) = $80 -Daily pass: 15x20 = $300 -Weekly pass: 29x4 = $116 -Monthly pass: 66x1 = $66 then, the cheapest way is the monthly pass.
Assuming each month has 30 days, 5 weeks,then
In One-way trip, expenditure per month = $2 x 2 x 30 = $120
In daily pass, expenditure per month = $15 x 30 = $450
In weekly pass, expenditure per month = $29 x 5 = $145
In monthly pass, expenditure per month = $66
So MONTHLY PASS will be the cheapest option for him.
In a month: 2-way trip : $4 30(days) = $120 Daily pass: $15 30 = 450 Weekly pass: $29*3(weeks) = 87 Monthly pass: $66
Monthly pass<weekly pass<Daily pass<2-way trip
monthly is the cheapest option
Per day 4$ so 20 days would cost his 80$ if he buys every day per month and 20$ for week pass so monthly pass is economical
The option will be cheapest for him is Monthly pass . Because : for 1 week ; one-way trip cost 28$ , the Daily pass will cost 105$ , Weekly pass: $29 and the Monthly pass cost 15.4$ . So the Monthly pass is the cheapest option .
He is going for the weekday and this means in a month he has to go for 20 days.So monthly pass is the best as the others are expensive
if he take monthly pass he save his money
Considering that a month is 30 days (not 29 nor 31):--
If he chose the option of [one day trip] he will pay :2 x 2 = 4 -->in day so 4 x 30 = 120 in the whole month.
if he chose the option of [daily pass] he will pay : 15 x30 =450 in the whole month.
if he chose the option of [weekly pass] he will pay : 29 x 4 =116 in the whole month.
if he chose the option of [monthly pass] he will pay : 66 in the whole month.
if we take daily bus expenses . then in one way trip. for to and fro- 2*2=4$ Daily pass- 15$. I dont know how the hell that be Weekly pass - per day will be 29/7=4.142$ Monthly pass- per day will be 66/30=2.2$
typo plsss-_-
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We see that we can set up ratios. Say there are 20 weekdays in a month. Then the monthly pass is 66/20 per day, weekly pass is 29/5, daily is just 15 day, one way pass is 4 per day. We see that monthly is the cheapest option per day.