Assume that each large muffin requires 100 grams of dough and 60 grams of bran, that each small muffin requires 35 grams of dough and 40 grams of bran, and that each day there are available 29980 grams of dough and 22320 grams of bran. In order to formulate a system of linear equations using variables xx and yy to determine how many muffins of each size should be made each day to use up all of that day's allotment of dough and bran, what should x and y be? 1) What should the variable x be? -the number of large muffins to be made each day 2) What should the variable y be? - the number of small muffins to be made each day 3) Now formulate the system of linear equations to determine how many large and small muffins should be made each day in order to use up the daily allotment of dough and bran: ___ x + ___ y =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Rework problem 2 in section 2 of Chapter 5 in your textbook about Murphy's Muffin Shoppe but use the following data: Assume that each large muffin requires 100 grams of dough and 60 grams of bran, that each small muffin requires 35 grams of dough and 40 grams of bran, and that each day there are available 29980 grams of dough and 22320 grams of bran.

In order to formulate a system of linear equations using variables xx and yy to determine how many muffins of each size should be made each day to use up all of that day's allotment of dough and bran, what should x and y be?

1) What should the variable x be?

-the number of large muffins to be made each day

2) What should the variable y be?

- the number of small muffins to be made each day

3) Now formulate the system of linear equations to determine how many large and small muffins should be made each day in order to use up the daily allotment of dough and bran:

___ x + ___ y = 

___ x + ___ y = 

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