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Problems: Linear Programming Applications
Q: Mrs. Moody sells cookies that she bakes in her kitchen and gives the profits to charities. She sells two types of cookies - regular chocolate chip and extra chocolate chip. To bake a pound of regular chocolate chip cookies, she uses two eggs, 0.15 lbs. of chocolate chips, 0.20 lbs. of sugar, 0.40 lbs. of butter, and 0.25 lbs. of flour. To bake a pound of extra chocolate chip cookies, she uses two eggs, 0.25 lbs. of chocolate chips, 0.15 lbs. of sugar, 0.35 lbs. of butter, and 0.25 lbs. of flour. She makes a $7 profit on a pound of regular chocolate chip cookies and $9 profit on extra chocolate chip cookies. She purchased six dozen (72) eggs, eight lbs. of chocolate chips, seven lbs. of sugar, 15 lbs. of butter, and 10 lbs of flour. How much should she bake of each type of cookie to maximize her profit?