Ginny knits two different capes. The 'Ginny' model requires 3 hours of knitting and 7 hours to embellish the cape. The 'Helen' model requires 5 hours to knit and 5 hours to embellish the cape. Ginny has at most 60 hours a month to knit the capes and at most 100 hours a month to embellish the capes. How many capes should she make to maximize her profit if she makes a profit of $80 on each 'Ginny' cape and a profit of $100 on each 'Helen'.

Ginny knits two different capes. The 'Ginny' model requires 3 hours of knitting and 7 hours to embellish the cape. The 'Helen' model requires 5 hours to knit and 5 hours to embellish the cape. Ginny has at most 60 hours a month to knit the capes and at most 100 hours a month to embellish the capes. How many capes should she make to maximize her profit if she makes a profit of $80 on each 'Ginny' cape and a profit of $100 on each 'Helen'.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Ginny knits two different capes. The 'Ginny' model requires 3 hours of knitting and 7
hours to embellish the cape. The 'Helen' model requires 5 hours to knit and 5 hours to
embellish the cape. Ginny has at most 60 hours a month to knit the capes and at most
100 hours a month to embellish the capes. How many capes should she make to
maximize her profit if she makes a profit of $80 on each 'Ginny' cape and a profit of
$100 on each 'Helen'.

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Ginny knits two different capes. The ‘Ginny’ model requires 3 hours of knitting and 7 hours to embellish the cape. The ‘Helen’ model requires 5 hours to knit and 5 hours to embellish the cape. Ginny has at most 60 hours a month to knit the capes and at most100 hours a month to embellish the capes. How many capes should she make to maximize her profit if she makes a profit of $80 on each ‘Ginny’ cape and a profit of $100 on each ‘Helen’.
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