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Mathematics 23 Online
OpenStudy (anonymous):

Suppose you have three choices as to what to do for two hours on Sunday afternoon: work around the house, earning $3.50 an hour; baby-sit for your neighbor earning $10 an hour; or go to the movies and pay $6 for a ticket. You choose to go to the movies. What is your opportunity cost? Choices: $3.50, $10, $13.50, $27, or $26 Please explain? Thanks!! :)

OpenStudy (campbell_st):

well I'd this it's something like expected value in probability probability x payoff... and the movie payoff is a negative that's my best guess

OpenStudy (campbell_st):

but it's only a guess

OpenStudy (amistre64):

opportunity cost is the cost of giving up something, when we make a choice, we are losing something, or rather attributing some value of one over another

OpenStudy (whpalmer4):

Opportunity cost is the lost income that you didn't get because of your choice to do something else. You could make $3.50/hr * 2 hr = $7 putzing around the house You could make $10/hr * 2 hr = $20 babysitting instead you spent $6 Your opportunity cost is $20, because that was the best alternative you passed up.

OpenStudy (amistre64):

so the cost of going to the movies is that you lost the money you could have gained doing the other stuff, plus 6 more dollars is my stab at it

OpenStudy (anonymous):

ahh okay :) i don't have $20 as a choice though :/ so would it be 20+6 =26 ?

OpenStudy (amistre64):

is 26 an option? :)

OpenStudy (anonymous):

yes:)

OpenStudy (whpalmer4):

You had the opportunity to make $7 or $20 by doing various jobs, but because you went to the movie, the opportunity was lost. The opportunity cost is the maximum value you could have obtained by making a different choice. Yeah, I don't agree that $26 is a correct answer. Your opportunity cost is $20, no matter whether you spent money or not.

OpenStudy (anonymous):

ohh okay :) thank you both!!! :D

OpenStudy (amistre64):

yeah, i spose you couldnt have made both the choices tha tyou didnt make to start with

OpenStudy (anonymous):

oh so would it just be $10 then? since it's 10 per hour? i don't have $20 as a choice :/

OpenStudy (whpalmer4):

Well, clearly $26 is the expected answer here, and you have to go with what the person who wrote the question wants.

OpenStudy (whpalmer4):

If $10 is an answer choice, I think it is there as a trap for the unwary. The problem states that you can work 2 hours, so the value being passed up is either $7 (working at home) or $20 (babysitting at the neighbor's).

OpenStudy (anonymous):

ohh okay so really the answer should be $20 opportunity cost?

OpenStudy (amistre64):

Suppose you have three choices as to what to do for two hours on Sunday afternoon: work around the house, $7; baby-sit: $20; movies: $6 sposing we do greatest values 20/6 or 6/20 might be of use ??

OpenStudy (anonymous):

not sure! :/ 20/6 would be 3.33333... and 6/20 would be .3 so i'm guessing no? :/ and also, i was wondering, so if two friends have the same choice of activities on a Wednesday evening, would they each have the same opportunity cost for their choices? i think that they don't right? because they might both choose different options? resulting in a different opportunity cost for each?

OpenStudy (anonymous):

@whpalmer4 @amistre64 ? :/

OpenStudy (whpalmer4):

Well, did some more reading, and I think $26 is correct, at least by some definitions. Apparently you do include the direct cost of your chosen alternative ($6) in addition to the foregone value ($20).

OpenStudy (anonymous):

ahh okay:) thank you!! what do you think about the two friends part?

OpenStudy (whpalmer4):

Can Bob and Fred both be paid $20 for babysitting at the same time? (presumably different places) If so, they have the same opportunity cost in going to the movie.

OpenStudy (anonymous):

ahh okay thanks so much!! :D

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