Question 1154672: Paige owns a bakery and sells cookies and muffins. She charges 75 cent per cookie and $1.50 per muffin. When she buys the ingredients it cost her $2 for a big bunch of cookie mix and $2 for muffin mix. she has a budget of $22 per day.For every one cookie she sells,she sells two muffins but doesn't sell more than 12 items in an hour. How much money can Paige possibly make on cookies and muffins in an hour.(linear programming question)
(1) write the objective function from the question
(2) write the constraints from the question (inequalities)
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
The problem as presented is faulty.
She can't sell more than 12 items in an hour; and she sells 2 muffins for every cookie.
Obviously, then, her maximum revenue in an hour is if she sells 8 muffins and 4 cookies, for a total of 8($1.50)+4($0.75) = $15. There is no linear programming involved.
If "how much she can make" means what is her maximum revenue, then the maximum she can make in 1 hour is $15.
Usually problems like this ask for maximum profit; but there is not enough information given to know what her cost of producing the muffins and cookies is. We know the cost of a batch of cookie mix and a batch of muffin mix cost; but we don't know how many muffins or cookies a batch of mix makes.
And the given information about her budget for the day -- as the problem is presented -- is irrelevant.
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