MATH HELP +KARMA

E

eastcoastshred

Member
Keshia is a college student who is amjoring in mathematics education. She would like to earn some money to help with expenses. She has two part time jobs. Keshia earns $8 an hour tutoring at the Academic Support Center on campus, and $10 an hour working at a local restaurant. Although she would like to work more hours at the tutoring center, she likes earning the higher pay at a local restaruant. she can tutor between 2 and 8 hours per week. What is Keshia's maximum eaning potential if she works a total of no more than 20 hours per week?

this is algebra 2 word problems. i cant figure out all of the constraints. if somebody could tell me what the conatraints are i can finish the problem. +karma for help

* this is a hint that they give.

the first 2 constraints pertain to the number of hours she wants to tutor. the thrid constraint relates to the number of hours she can wokrk at a local restaruant and the 4th to the total hours she can work.

i have so far:

T+R
 
it might be a linear programming problem cause if it is good luck i don't remember how to do that.
 
yea it is linear programming. i know how to do it after the constraints but i cant figure them out. thanks for the help above (+karma) but its for a project and finding the constraints are worth just as much as the actual answer.
 
ok i think you have to graph the lines and them find out where the intercet eachother and the axis' but i dont remember to much after that. i hated algebra 2
 
yea i need to find the inequalities and graph them. then look at the feasible region and find where the lines intersect then i plug the points (x,y) of intersection into the formula 8x + 10y to find the maximum and minimum. the maximum is the answer. i just cant find the inequalities that give me the lines to graph
 
"maximum earning potential" is all fun and games until tax deductions rape half yer paycheck.

she is earning a higher rate at the restaurant, but she will get every single possible deduction on her paycheck (social security, medicare, fed income, state/local income if applicable).

she is earning a lower rate at the tutoring, but since it is on-campus there is no social security deduction on her paycheck (there might be more, but i cannot remember them).
 
Do you know calculus yet? I dont know how to solve this without calculus, just message me or reply to this thread and I can help you solve it.
 
thanks to everybody who has helped out. i got the maximum 196 which is the answer but really need the inequalities(constraints) which would fit the problem. thanks again

ive been working on them and think that they are this. can anybody confirm? :

let x= #hours worked tutoring

y= #hours at resaurant

x+y is less than or equal to 20

x is greater than or equal to 2

x is less than or equal to 8

y is greater than or equal to 12

 
I don't know why the hell you would have to use calculus for this simple problem.

yes those inequalities are right
 
you might have to blow it up...but here ya go

1226464224PICT1879.JPG

 
I don't think you need the "y is greater than or equal to 12". You already defined x and you have x as a function of y.
 
yea ur right. that was one of the things that was messing me up. i finally got it tho so thanks to all who helped. if u wanna know the right answer look at the pic above it spells it out perfectly. (at least it did for me). peace
 
yeah math is the worst subject whenevr you ask your math teacher when am i ever going to use this they can never come up with a good response
 
I am a math major, and I can tell you that the only reason that you will use some math is for the next level of math... thats it.. unless you are in business. I mean there are some jobs like actuary science that pays a shit ton just because you know how to crunch some numbers and then there are some other jobs... but yea... if you have no desire in going to anything close to that... I wouldn't worry about math too much.
 
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