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.

Intermediate Algebra
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It wants a inequality constraint for time in hours.

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.
Transcribed Image Text: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.
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