Farmer Jones bakes two types of cake (chocolate and vanilla) to supplement his income. Each chocolate cake can be sold for $1, and each vanilla cake can be sold for 50¢. Each chocolate cake requires 20 minutes of baking time and uses 4 eggs. Each vanilla cake requires 40 minutes of baking time and uses 1 egg. Eight hours of baking time and 30 eggs are available. Formulate an LP to maximize Farmer Jones’s revenue, then graphically solve the LP. (A fractional number of cakes is okay.)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Farmer Jones bakes two types of cake (chocolate and
vanilla) to supplement his income. Each chocolate cake can
be sold for $1, and each vanilla cake can be sold for 50¢.
Each chocolate cake requires 20 minutes of baking time and
uses 4 eggs. Each vanilla cake requires 40 minutes of baking
time and uses 1 egg. Eight hours of baking time and 30 eggs
are available. Formulate an LP to maximize Farmer Jones’s revenue, then graphically solve the LP. (A fractional number
of cakes is okay.)

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