## janessia 3 years ago 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

1. janessia

Can anyone help?

2. zepp

Okay so we can compute that profit: Profit = 15g + 40j Do you get this part?

3. janessia

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

4. janessia

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

5. zepp

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

6. janessia

yes i understand tht so far

7. zepp

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?

8. janessia

yes i got tht too!

9. zepp

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

10. janessia

ohk got tht so i add those?

11. zepp

Yes

12. zepp

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.

13. zepp

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

14. janessia

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

15. zepp

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

16. janessia

soo confusing so i use 11 not 12?

17. janessia

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

18. zepp

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 :)

19. janessia

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?

20. zepp

Well he wants to make the most profits, exact?

21. janessia

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

22. zepp

No no, do you agree with the statement above?

23. janessia

i guess so

24. janessia

yes

25. zepp

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?

26. janessia

yes

27. zepp

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?

28. janessia

yes it does

29. zepp

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?

30. janessia

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

31. zepp

so g=1 and j=11 :)

32. janessia

yes ohk now wat do i do with those?

33. zepp

You plug them in the equation we computed above :D Profit = 15g+40j :D

34. janessia

ohk 15*1+40*11?

35. zepp

Excellent! :D Good job :)

36. zepp

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

37. janessia

nd i end up with 15+440?

38. zepp

Right!

39. janessia

4.55?

40. zepp

41. janessia

i did!!???

42. janessia

THANKSSSSSS SO MUCH!!!!

43. zepp

Yes! :)

44. janessia

I LOVEEE UU lol

45. zepp

You are welcome :)