A bakery is making whole-wheat bread and apple bran muffins. for each batch of break they make $35 profit. for each batch of muffins, they make $10 profit. the break takes 4 hours to prepare and 1 hour to back. the muffins take 0.5 hours to prepare and 0.5 hours to bake. the maximum preparation time available is 16 hours. the maximum bake time available is 10 hours. let x =

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10-09-2022
Mathematics

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A bakery is making whole-wheat bread and apple bran muffins. for each batch of break they make $35 profit. for each batch of muffins, they make $10 profit. the break takes 4 hours to prepare and 1 hour to back. the muffins take 0.5 hours to prepare and 0.5 hours to bake. the maximum preparation time available is 16 hours. the maximum bake time available is 10 hours. let x =

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qwterabite qwterabite · Answer 1 · 2022-09-18T12:38:51+02:00

The number of batches of muffins and bread to be made in order to maximize the profits is 16 and 2.

Considering the x to be the number of batches of bread and y be the number of batches of muffins.

In the problem, it is mentioned that the preparation of both the bread and muffin takes 4 hours and 0.5 hours since the maximum preparation time is 16 altogether

The inequality equation for it will be [tex]4x+0.5y\leq 16[/tex]

For baking the bread and muffin it takes 1 hour and 0.5 hours, the maximum baking time all together is 10

The inequality equation for it will be [tex]x+0.5y\leq 10[/tex]

The profit got from one batch of bread if 35 $ and from one batch of muffins is 10$

f(x,y)= 35x+ 10y

for f(0,0)= 0, f(0,20)= 200, f(2,16)= 230 , f(4,0) =140

So it requires 2 batches of bread and 16 batches of muffins.

To know more about linear programming refer to the link https://brainly.com/question/15762941?referrer=searchResults.

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A bakery is making whole-wheat bread and apple bran muffins. For each batch of break they make $35 profit. For each batch of muffins, they make $10 profit. The break takes 4 hours to prepare and 1 hour to back. The muffins take 0.5 hours to prepare and 0.5 hours to bake. The maximum preparation time available is 16 hours. The maximum bake time available is 10 hours. Let x = # of the batches of bread and y = # of batches of muffins. What constraints can be used to find the number of batches of bread and muffins that should be made to maximize profits?