The first provider can provide at most 5 tons, and the second one at most 3 tons. Finally, in order not to antagonize the first provider, it was felt it should not provide too small a fraction, so that x > 2(y – 1). 1. Does P have critical points? 2. Draw the domain of P in the xy-plane. 3. Describe each boundary in terms of only one variable, and give the corresponding range of that variable, for instance "(x, x²) for E [1,2]". There can be different choices.
The first provider can provide at most 5 tons, and the second one at most 3 tons. Finally, in order not to antagonize the first provider, it was felt it should not provide too small a fraction, so that x > 2(y – 1). 1. Does P have critical points? 2. Draw the domain of P in the xy-plane. 3. Describe each boundary in terms of only one variable, and give the corresponding range of that variable, for instance "(x, x²) for E [1,2]". There can be different choices.
Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 158E: The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The...
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2. Draw the domain of P in the xy-plane.
3. Describe each boundary in terms of only one variable, and give the corresponding range of that variable, for instance “(x,x2) for x ∈ [1,2]”. There can be different choices.
![Exercise III: Maximizing profit I
Assume that a company gets x tons of steel from one provider, and y tons from another
one. Assume that the profit made is then given by the function
P(x, y) = 9x + 8y – 6(x + y)².
The first provider can provide at most 5 tons, and the second one at most 3 tons. Finally,
in order not to antagonize the first provider, it was felt it should not provide too small a
fraction, so that x > 2(y – 1).
1. Does P have critical points?
2. Draw the domain of P in the xy-plane.
3. Describe each boundary in terms of only one variable, and give the corresponding
range of that variable, for instance "(x, x2) for x E [1,2]". There can be different
66
choices.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ebb6650-7cf6-48f7-a6e4-9d83df6ee4c3%2F557b6139-8c04-491f-9f1c-938c19ab76d8%2Ffduij4r_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise III: Maximizing profit I
Assume that a company gets x tons of steel from one provider, and y tons from another
one. Assume that the profit made is then given by the function
P(x, y) = 9x + 8y – 6(x + y)².
The first provider can provide at most 5 tons, and the second one at most 3 tons. Finally,
in order not to antagonize the first provider, it was felt it should not provide too small a
fraction, so that x > 2(y – 1).
1. Does P have critical points?
2. Draw the domain of P in the xy-plane.
3. Describe each boundary in terms of only one variable, and give the corresponding
range of that variable, for instance "(x, x2) for x E [1,2]". There can be different
66
choices.
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