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Likurg_2 [28]
3 years ago
15

A company makes two mixtures of nuts: Mixture A and Mixture B. Mixture A contains 30% peanuts, 30% almonds and 40% cashews and s

ells for $3.75 per pound. Mixture B contains 30% peanuts, 60% almonds and 10% cashews and sells for $5.00 per pound. The company has 510 pounds of peanuts, 840 pounds of almonds, and 520 pounds of cashews. How many pounds of each of mixtures A and B should the company make to maximize profit, and what is the maximum revenue?
Mathematics
1 answer:
Yanka [14]3 years ago
8 0
Play amoug us it’s fun haha
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One more time!
CaHeK987 [17]
Since q(x) is inside p(x), find the x-value that results in q(x) = 1/4

\frac{1}{4} = 5 - x^2\ \Rightarrow\ x^2 = 5 - \frac{1}{4}\ \Rightarrow\ x^2 = \frac{19}{4}\ \Rightarrow \\
x = \frac{\sqrt{19} }{2}

so we conclude that
q(\frac{\sqrt{19} }{2} ) = 1/4

therefore

p(1/4) = p\left( q\left(\frac{ \sqrt{19} }{2} \right)  \right)

plug x=\sqrt{19}/2 into p( q(x) ) to get answer

p(1/4) = p\left( q\left( \frac{ \sqrt{19} }{2} \right) \right)\ \Rightarrow\ \dfrac{4 - \left(  \frac{\sqrt{19} }{2}\right)^2 }{ \left(  \frac{\sqrt{19} }{2}\right)^3 } \Rightarrow \\ \\ \dfrac{4 - \frac{19}{4} }{ \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{8\left(4 - \frac{19}{4}\right) }{ 8 \cdot \frac{19\sqrt{19} }{8}} \Rightarrow \dfrac{32 - 38}{19\sqrt{19}} \Rightarrow \dfrac{-6}{19\sqrt{19}} \cdot \frac{\sqrt{19}}{\sqrt{19}}\Rightarrow

\dfrac{-6\sqrt{19} }{19 \cdot 19} \\ \\ \Rightarrow  -\dfrac{6\sqrt{19} }{361}

p(1/4) = -\dfrac{6\sqrt{19} }{361}
3 0
3 years ago
Can anyone solve this
andrew-mc [135]

Answer:

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3 0
3 years ago
Find the values of k for which y = kx + 1 is a tangent to the curve y = 2x^2 + x +3
Dominik [7]
K = 5 or k = 3
Hope it helps-,-
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Determine the domain of the function.
ziro4ka [17]
f(x)=\sqrt{1-x}\\\\The\ domain:1-x\geq0\ \ \ \ \ |subtract\ 1\ from\ both\ sides\\\\-x\geq-1\ \ \ \ \ |change\ signs\\\\x\leq1

Answer: C. x≤1.
7 0
3 years ago
Solve 10 and 11 . Show and explain your work.
DaniilM [7]

Answer:

500-75y=x.    And.       44+14y=x.  No work needed

Step-by-step explanation:

6 0
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