b. Consider the following constrained maximization problem: 11 11 The objective function is: f(x,y) = x Maximize the objective function subject to the constraint 2x + 9y = 396 What is the slope of the level set of the objective function? (This is a fraction with an integer times y over an integer times x. The value in the numerator is negative.) What is the slope of the constraint line? (This is negative and a fraction with no variables.) What is the relationship between x and y? (The answer is a fraction.)

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ISBN:9780470458365
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b. Consider the following constrained maximization problem:
The objective function is: f(x,y) = x
Maximize the objective function subject to the constraint:
2x + 9y = 396
What is the slope of the level set of the objective function? (This is a fraction with an integer times y over an integer
times x. The value in the numerator is negative.)
6
11
What is the slope of the constraint line? (This is negative and a fraction with no variables.)
What is the relationship between x and y? (The answer is a fraction.)
y=x
What are the optimal values of x and y?
irrect: 0
Transcribed Image Text:K b. Consider the following constrained maximization problem: The objective function is: f(x,y) = x Maximize the objective function subject to the constraint: 2x + 9y = 396 What is the slope of the level set of the objective function? (This is a fraction with an integer times y over an integer times x. The value in the numerator is negative.) 6 11 What is the slope of the constraint line? (This is negative and a fraction with no variables.) What is the relationship between x and y? (The answer is a fraction.) y=x What are the optimal values of x and y? irrect: 0
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