PROBLEM 3: A baker produces whole wheat bread and cheese bread to sell at the farmer's market. The whole wheat bread is denser and requires more baking time, where as the cheese bread requires more labor. The oven space restricts the baker from baking more than 120 loaves. Furthermore time for baking is no more than 165 hours and the amount of available labor is at most 55 hours. The baking times and average amount per loaf are given in the table along with the supposed profit for eah bread. Time to Bake Labor Profit 1.5 hours P36 1/3 hour 1/2 hour 1 hour P30 How many loaves of each type of bread should be made to maximize the profit? What is that profit? Wheat Bread Cheese Bread

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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PROBLEM 3: A baker produces whole wheat bread and cheese bread to sell at the farmer's market. The
whole wheat bread is denser and requires more baking time, where as the cheese bread requires more
labor. The oven space restricts the baker from baking more than 120 loaves. Furthermore time for baking is
no more than 165 hours and the amount of available labor is at most 55 hours. The baking times and
average amount per loaf are given in the table along with the supposed profit for eah bread.
Time to Bake
Labor
Profit
1.5 hours
P36
1/3 hour
1/2 hour
1 hour
P30
How many loaves of each type of bread should be made to maximize the profit? What is that profit?
Wheat Bread
Cheese Bread
Transcribed Image Text:PROBLEM 3: A baker produces whole wheat bread and cheese bread to sell at the farmer's market. The whole wheat bread is denser and requires more baking time, where as the cheese bread requires more labor. The oven space restricts the baker from baking more than 120 loaves. Furthermore time for baking is no more than 165 hours and the amount of available labor is at most 55 hours. The baking times and average amount per loaf are given in the table along with the supposed profit for eah bread. Time to Bake Labor Profit 1.5 hours P36 1/3 hour 1/2 hour 1 hour P30 How many loaves of each type of bread should be made to maximize the profit? What is that profit? Wheat Bread Cheese Bread
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