A bakery produces two types of bread whole wheat and...

Name: a bakery produces two types of bread whole wheat and multigrain each loaf of whole wheat bread yields a profit of 3 while each loaf of multigrain bread yields a profit of 4 the bakery has 13 53099
Uploaded: 2023-07-24T12:01:28-08:00
Duration: 4 min 20 s
Channel: Matthew Wagner
Description: a bakery produces two types of bread whole wheat and multigrain each loaf of whole wheat bread yields a profit of 3 while each loaf of multigrain bread yields a profit of 4 the bakery has 13 53099

A bakery produces two types of bread: whole wheat and multigrain. Each loaf of whole wheat bread yields a profit of $3, while each loaf of multigrain bread yields a profit of $4. The bakery has 130 pounds of flour and 96 pounds of grains available. Whole wheat bread requires 3 pounds of flour and 2 pounds of grains per loaf, while multigrain bread requires 2 pounds of flour and 4 pounds of grains per loaf. How many loaves of each type should the bakery produce to maximize its profit?

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Transcript

00:01 Right, it says a bakery produces two types of bread.

00:05 They have a white and whole wheat.

00:09 They have 240 pounds of flour, 100 pounds of yeast, and 180 pounds of wheat germ available each day.

00:21 I just woke up here.

00:25 All right.

00:25 Each pound of white bread requires three pounds of flour, one pound of yeast, two pounds of wheat germ.

00:32 Each pound of whole wheat requires two, two, and three.

00:38 Bakery makes 50 cents per pound of white bread and 60 cents per pound of wheat bread.

00:45 How many pounds of each type should be used to maximize its profit? so for part a, it says how many pounds of each type of bread should be used to maximize its profit.

01:02 Part b is identify the feasible region.

01:06 All right.

01:07 Well, our first step in this problem is going to be to create our objective function.

01:14 Again, we are trying to maximize its profit.

01:17 We make 50 cents for white bread and we make 60 cents for every pound of wheat bread.

01:30 So we wind up with our profit function is 0 .5x plus 0 .6y, x being the pounds of white bread and y being the pounds of wheat bread.

01:39 Now we have all of our constraints and limitations.

01:43 Keep in mind x and y both have to be greater than or equal to zero...