Farmer Jones decides to supplement her income by baking and selling two types of cakes, chocolate, and vanilla. Each chocolate cake sold gives a profit of $3, and the profit on each vanilla cake sold is $4. Each chocolate cake uses 4 eggs and 4 pounds of flour, while each vanilla cake uses 2 eggs and 6 pounds of flour. If farmer Jones has only 32 eggs and 48 pounds of flour available, how many of each type of cake should the farmer Jones bake in order to maximize her profit? (For now, assume all cakes baked are sold, and fractional cakes are ok.)
Farmer Jones decides to supplement her income by baking and selling two types of cakes, chocolate, and vanilla. Each chocolate cake sold gives a profit of $3, and the profit on each vanilla cake sold is $4. Each chocolate cake uses 4 eggs and 4 pounds of flour, while each vanilla cake uses 2 eggs and 6 pounds of flour. If farmer Jones has only 32 eggs and 48 pounds of flour available, how many of each type of cake should the farmer Jones bake in order to maximize her profit? (For now, assume all cakes baked are sold, and fractional cakes are ok.)
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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Transcribed Image Text:Problem:
Farmer Jones decides to supplement her income by baking and selling two types of cakes, chocolate, and vanilla. Each chocolate cake sold
gives a profit of $3, and the profit on each vanilla cake sold is $4. Each chocolate cake uses 4 eggs and 4 pounds of flour, while each vanilla
cake uses 2 eggs and 6 pounds of flour. If farmer Jones has only 32 eggs and 48 pounds of flour available, how many of each type of cake
should the farmer Jones bake in order to maximize her profit? (For now, assume all cakes baked are sold, and fractional cakes are ok.)
INSTRUCTIONS:
1. Copy the table
• Let C be a variable that represents the number of chocolate cakes Farmer Jones bakes.
• Let V be a variable that represents the number of vanilla cakes Farmer Jones bakes.
• What are some allowable values for C and V? What is the corresponding profit?
C
V
profit
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