To find: The number of each type of cake should be make to maximize revenue.
Answer to Problem 23PPS
The maximum value is 5625.
Therefore, there are 225 yellow cakes and 0 strawberry cakes will maximize the revenue.
Explanation of Solution
Given information :
Price of yellow cake: $25
Price of strawberry cake: $35
Time for the yellow cake: 2hr
Time for the strawberry cake: 3 hr
Calculation :
Suppose x be the number of strawberry and y be the yellow cakes.
Then, the optimizing function is written as follows:
The constraints are:
The graph is shown below:
The vertices of the feasible region are
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The maximum value is 5625.
Therefore, there are 225 yellow cakes and 0 strawberry cakes will maximize the revenue.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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