Question 346814
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Let *[tex \Large x_1] represent the number of loaves of bread.  Let *[tex \Large x_2] represent the number of muffins.


a) Constraints:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 1.3x_1\ +\ 0.4x_2\ \leq\ 25]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 0.5x_1\ +\ 0.15x_2\ \leq\ 5]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x_1\ \geq\ 0] (you can't make a negative number of loaves)


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x_2\ \geq\ 0] (you can't make a negative number of muffins)


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x_1,\,x_2\ \in\ \mathbb{Z}] (you can't make fractional parts of loaves or muffins)


b) Let *[tex \Large c_1] represent the cost of manufacturing a loaf of bread.  Let *[tex \Large c_2] represent the cost of manufacturing a muffin.  Then the profit function would be:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ z\ =\ \left(2.5\ -\ c_1\right)x_1\ +\ \left(1.15\ -\ c_2\right)x_2]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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