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Mathematics 40 Online
OpenStudy (anonymous):

need help setting up the equation for this problem? A yo-yo factory has fixed operating costs of $5000 per day plus costs of $2 per yo-yo produced. If a yo-yo sells for $5.50, what is the minimum number that must be sold in a day to earn a profit?

OpenStudy (anonymous):

1429

OpenStudy (anonymous):

Sarah makes and sells pottery bowls. She has costs totaling $10,000 per year plus a cost of $7 for each bowl she makes. If she sells the bowls for $25 each, what is the minimum number she must sell each year to earn at least $25,000 profit.

OpenStudy (anonymous):

what about that one?

OpenStudy (anonymous):

because they earn 3,5 dollards per yoyo (5,5-2) then 5000/3,5=1429

OpenStudy (anonymous):

1945

OpenStudy (anonymous):

A waiter earns $2.50 an hour plus tips. If he earns an average tip of $3 percustomer, what is the least number of customers that he must serve each hour to earn over $20 per hour?

OpenStudy (anonymous):

an average of 6

OpenStudy (anonymous):

sweet what about this one? A car salesman earns a $19,900 salary each year plus a commission of $350 on each car he sells. What is the minimum number of cars he must sell each year to earn at least $50,000?

OpenStudy (anonymous):

86, Do you want me to explane ?

OpenStudy (anonymous):

if you dont mind wrighting the equation for how you came up with it out that would be good that way I can come back and look at them.

OpenStudy (anonymous):

A car salesman earns a $26,000 salary each year plus a commission of $320 on each car he sells. What is the minimum number of cars he must sell each year to earn at least $50,000?

OpenStudy (anonymous):

ok did you understood the yoyo ?

OpenStudy (anonymous):

yea I wrote it down

OpenStudy (anonymous):

how you solved it

OpenStudy (anonymous):

i'm gonna explane the first car saleman and you gonna do the 2nd one ok ?

OpenStudy (anonymous):

he earns 19900 per year, and he want 50000 sof what he has to earn selling cars is 50000-19900=30100 dollars

OpenStudy (anonymous):

ok ?

OpenStudy (anonymous):

so he has to earn at least 30100$ selling cars. He earns 350$ per car and he wants 30100$, so if we call the number of car he has te sell x we kave 350*X>30100 ok ?

OpenStudy (anonymous):

so do you solve for x now?

OpenStudy (anonymous):

so x>30100/350

OpenStudy (anonymous):

ok ?

OpenStudy (anonymous):

x>86

OpenStudy (anonymous):

yes =)

OpenStudy (anonymous):

so do the 2nd

OpenStudy (anonymous):

ok ill try the 2nd

OpenStudy (anonymous):

A car salesman earns a $26,000 salary each year plus a commission of $320 on each car he sells. What is the minimum number of cars he must sell each year to earn at least $50,000?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

no sry XD

OpenStudy (anonymous):

he earns 26000$ per year and he want 50000$, so what he has to earn is 50000-26000=24000$, you undestand ?

OpenStudy (anonymous):

oh yea!

OpenStudy (anonymous):

;)

OpenStudy (anonymous):

so the answer ?

OpenStudy (anonymous):

75

OpenStudy (anonymous):

exactly, you got it or you want me to give you an other exercise ?

OpenStudy (anonymous):

SWEET!! if you could help me through a couple more that would be helpfull.

OpenStudy (anonymous):

no pb ^_^

OpenStudy (anonymous):

a car saleman earn 10000$ per month and 200$ per car he sell, if he wants to earn 20000$ how many cars he must sell to get it ?

OpenStudy (anonymous):

sorry for my English, I'm french XD

OpenStudy (anonymous):

ok can we do one of my real problems sorry?

OpenStudy (anonymous):

Paul makes and sells glass vases. He has costs totaling $16,410 per year plus a cost of $9 for each vase he makes. If he sells the vases for $27 each, what is the minimum number he must sell each year to earn at least $43,000 profit?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

no in this case it costs hims $16410, so if he wants $43000 profits he will have to earn $59410, ok ?

OpenStudy (anonymous):

that's a little bit different because in the other pb the car saler handn't to pay something

OpenStudy (anonymous):

so what would the equation look like here ?

OpenStudy (anonymous):

for you, how many $ does Paul earn with each glass vase ?

OpenStudy (anonymous):

18

OpenStudy (anonymous):

you're right, so what would be the equation ?

OpenStudy (anonymous):

18x>59410

OpenStudy (anonymous):

yes and how would you get x ?

OpenStudy (anonymous):

x=3300.55?

OpenStudy (anonymous):

x>3300,55 so he would earn $43000 profits if he sell 3301 glass vases. You got ?

OpenStudy (anonymous):

awsome! your a good teacher!

OpenStudy (anonymous):

thanks, you're a good student =)

OpenStudy (anonymous):

hey do you mind just watching me do some more to make sure I get all the steps?

OpenStudy (anonymous):

yep

OpenStudy (anonymous):

no pb

OpenStudy (anonymous):

A widget factory has fixed operating costs of $3,950 per day plus costs of $1.35 per widget produced. If a widget sells for $3.75, what is the least number that must be sold in a day to earn a profit?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

give me the answer step by step please

OpenStudy (anonymous):

ok well i just finished and got 1053.69 is that what you got?

OpenStudy (anonymous):

no, give me all the steps plz

OpenStudy (anonymous):

ok first=1.35+3950 second=3.75x>3951.35 3=x=1053.69

OpenStudy (anonymous):

why 3950+1,35 ?

OpenStudy (anonymous):

both part of cost?

OpenStudy (anonymous):

How many $ does the factory earn with each widget ?

OpenStudy (anonymous):

2.4

OpenStudy (anonymous):

yes, so now you see your error ?

OpenStudy (anonymous):

yea

OpenStudy (anonymous):

so what's the answer ?=)

OpenStudy (anonymous):

so then the final answer will be 1645.83?

OpenStudy (anonymous):

yes but watch out the question is "what is the least number that must be sold in a day to earn a profit?" and could you sold 0,83 widget ?

OpenStudy (anonymous):

yea ok so 1646

OpenStudy (anonymous):

exactly

OpenStudy (anonymous):

Connie makes and sells pottery baskets. She has costs totaling $12,000 per year plus a cost of $8 for each basket she makes. If she sells the baskets for $25 each, what is the least number that she must sell each year to earn at least $35,000 profit?

OpenStudy (anonymous):

Give me the answer when you have it

OpenStudy (anonymous):

x=2764.70?

OpenStudy (anonymous):

...

OpenStudy (anonymous):

YES =D

OpenStudy (anonymous):

COOL!!

OpenStudy (anonymous):

congratulations !

OpenStudy (anonymous):

A car salesman earns a $27,200 salary each year plus a commission of $320 on each car he sells. What is the minimum number of cars he must sell each year to earn at least $56,000?

OpenStudy (anonymous):

what's the answer ?

OpenStudy (anonymous):

x=90.63

OpenStudy (anonymous):

give me the steps plz

OpenStudy (anonymous):

I have 90

OpenStudy (anonymous):

? Don't give up =)

OpenStudy (anonymous):

oh ok i add wrong did not put 27200 i put 27000 i get 90 now

OpenStudy (anonymous):

cool !! watch out, for a simple error like this you will loose a lot of point in test, take your time to read the subject =)

OpenStudy (anonymous):

ok thanks

OpenStudy (anonymous):

Kerri makes and sells pottery baskets. She has costs totaling $11,000 per year plus a cost of $6 for each basket she makes. If she sells the basket for $25 each, what is the minimum number she must sell each year to earn at least $32,000 profit?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

x=2263.15

OpenStudy (anonymous):

yes so the answer is 2264, don't forget it

OpenStudy (anonymous):

k

OpenStudy (anonymous):

A candle factory has fixed operating costs of $4,400 per day plus costs of $1.50 per candle produced. If a candle sells for $3.75, what is the least number that must be sold in a day to earn a profit?

OpenStudy (anonymous):

1956, do you have this

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

one more!

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