Question

A baker earns 15¢ profit per glazed doughnut g, and 40¢ profit per jelly doughnut j. If a customer wants to buy no more than a dozen doughnuts and wants to try at least one of each kind, what is the maximum profit the baker can earn?

Choose one answer.
a. $4.55
b. $4.80
c. $3.30
d. $1.80

Answer 1

Can anyone help?

Answer 2

Okay so we can compute that profit:
Profit = 15g + 40j

Do you get this part?

Answer 3

no i dnt understand any of it to be honest idk even kno how to start this problem this is for my online quiz

Answer 4

do i add those two together? is that wat ur saying?

Answer 5

Okay, this guy earn 15 cents for every glazed donut (g) sold, that could be reprensented as 15g, is this part okay?

Answer 6

yes i understand tht so far

Answer 7

Great! :)

Now, this man doesn't only sell glazed donuts, he also sells jelly, j, and he earns 40 cents of profits per jelly donut, we can write that as 40j, that's cool too?

Answer 8

yes i got tht too!

Answer 9

Good! So what this guy is making would be the profit of these two sweets, hence Profit = 15g+40j

Answer 10

ohk got tht so i add those?

Answer 11

Yes

Answer 12

Now you are asked to get the maximum profit, if the person buy a dozen of donuts, 12, although he wants to eat at LEAST one of them.

Answer 13

but also wants max profits, therefore put 1 donuts of the cheapest, and 11 donuts of the most expensive, is that part clear?

Answer 14

no lol uhm ohk so i multiply 12 by 15? since he gets 15 cents for every doughnut he sells?

Answer 15

No, the customer wants to taste at least of one the donuts, but ALSO make the most profits possible.

Answer 16

soo confusing so i use 11 not 12?

Answer 17

i hope im not annoying u sorry if i am i juss dnt get it.

Answer 18

So put 1 donuts of the cheapest, so he can taste to at least one of each
and the rest on the most expensive

g is the cheapest, put 1 of g
j is the most expensive, put 11 of j;

1+11=12 :D

No worries! OpenStudy is a place to learn, the most important is to tell us what you don't understand :)

Answer 19

ohk so he made one donut cheap so he can eat it nd raised the price on the other 11 so he can still make the same amount of money as if he sold 12?

Answer 20

Well he wants to make the most profits, exact?

Answer 21

so he wants to make more than wat he wud have?

Answer 22

No no, do you agree with the statement above?

Answer 23

i guess so

Answer 24

yes

Answer 25

Good, so the best way for him to make the maximum profit when a customer buy a dozen of donuts(12) is hope they buy 12 of the most expensive, true?

Answer 26

yes

Answer 27

but the customer wants to eat at LEAST one of EACH, and the seller wants to make the MOST profit, if he only put 1 donut of the cheapest, does it satisfies the situation?

Answer 28

yes it does

Answer 29

So he should sell 1 of the cheapest, and 11 of the most expensive (that makes a dozen) so he can make the maximum profit he can get, letting the customer tastes to at least one of each, do you follow me?

Answer 30

so hes taking one of each of the expensive donuts nd making them cheaper so tht the customers can try one of each nd he still will make the most profit

Answer 31

so g=1 and j=11 :)

Answer 32

yes ohk now wat do i do with those?

Answer 33

You plug them in the equation we computed above :D

Profit = 15g+40j :D

Answer 34

ohk 15*1+40*11?

Answer 35

Excellent! :D

Good job :)

Answer 36

And remember those are cents, you have to transform them into dollars to get your answer :)

Answer 37

nd i end up with 15+440?

Answer 38

Right!

Answer 39

4.55?

Answer 40

You got your answer!

Answer 41

i did!!???

Answer 42

THANKSSSSSS SO MUCH!!!!

Answer 43

Yes! :)

Answer 44

I LOVEEE UU lol

Answer 45

You are welcome :)