Robert is planning to spend the day baking c batches of cookies and b batches of
brownies. He would like to maximize the total number of batches, c+b. He can bake a
batch of cookies in 12 minutes and a batch of brownies in 30 minutes, Robert wants to
spend at most 6 hours baking. He also wants to make sure the number of batches of
brownies is within 2 of the number of batches of cookies.
Create an inequality constraint for time (in hours) and two inequality constraints for the
relative numbers of cookies and brownie batches.

Question

mexicanbarbie104ever mexicanbarbie104ever

31-01-2022
Mathematics

Answered

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Robert is planning to spend the day baking c batches of cookies and b batches of
brownies. He would like to maximize the total number of batches, c+b. He can bake a
batch of cookies in 12 minutes and a batch of brownies in 30 minutes, Robert wants to
spend at most 6 hours baking. He also wants to make sure the number of batches of
brownies is within 2 of the number of batches of cookies.
Create an inequality constraint for time (in hours) and two inequality constraints for the
relative numbers of cookies and brownie batches.

Sagot :

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justicetruesdale justicetruesdale · Answer 1 · 2022-01-31T19:36:04-05:00

Answer:12c + 30b ≤ 360

Step-by-step explanation:

Your math problem requires us to convert the word problem into math before we can solve the math. So let's try to do that first.

First, let's make a math equation to represent the amount of time.

The amount of time to bake "c" batches of cookies = (# of minutes per batch) x (# of batches) = 12 x c = 12c

Similarly for the amount of time to bake "b" batches of brownies = (# of minutes per batch) x (# of batches) = 30 x b = 30b

This is going to look like a format of:

(amount of time to bake cookies) + (amount of time to bake brownies) ≤ (total amount of time)

This person wants the (total amount of time) to be "at most 6 hours" but we can't just put "6" as our number because the other amounts of time are in "minutes".

6 hours * 60 minutes in an hour = 360 minutes

So our first equation becomes:

12c + 30b ≤ 360

Sagot :

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