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bonufazy [111]
4 years ago
12

Evaluate the profit function at each vertex. P = 0.04x + 0.05y + 0.06(16 – x – y) (8, 1) P = (14, 1) P = (3, 6) P = (5, 10) P =

Mathematics
2 answers:
Norma-Jean [14]4 years ago
6 0

Answer:

You can earn a maximum profit of $(840) by investing $(3,000) in stock A, $(6,000) in stock B, and $(7,000) in stock C.

THIS IS THE PART B ON EDGE!!!

Step-by-step explanation:

VARVARA [1.3K]4 years ago
3 0
The given function is:
P = 0.04x + 0.05y + 0.06(16-x-y)

To get the function at each vertex, all you have to do is substitute with the given x and y values in the above equation and get the corresponding value of P as follows:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79

2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67

3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84

4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76

Hope this helps :)
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Ber [7]

Answer

given,

   f(x) = \dfrac{-e^x}{x - 4}

to find the critical point of the given expression

fist differentiating the function

f'(x) = -\dfrac{(x-4)e^x+ e^x}{(x - 4)^2}

f'(x) = \dfrac{-(x-4)e^x- e^x}{(x - 4)^2}

f'(x) = \dfrac{-e^x(x-3)}{(x - 4)^2}

now equating differential equation to zero

\dfrac{e^x(-x+3)}{(x - 4)^2}=0

e^x(-x+3)=0

now,

-x + 3 = 0            and eˣ ≠ 0

x = 3          

the critical number will be equal to x = 3

y = \dfrac{-e^3}{3 - 4}

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8 0
4 years ago
Julisa wants to find the perimeter of her bedroom that is similar to her brothers . If her brothers bedroom is 12ft long and 10f
IrinaK [193]

Answer:

The perimeter of her bedroom is 36.67 ft.

Step-by-step explanation:

Julisa's bedroom is similar to her brother's bedroom.

If the width of her bedroom is w and the length is l and her brother's room has width W and length L, then

\frac{w}{W} = \frac{l}{L} ............. (1)

Now, the dimensions of her brother's bedroom are given by 12 ft long by 10 ft wide and her bedroom has length 10 ft.

Then, from equation (1) we get,

\frac{w}{10} = \frac{10}{12}

⇒ w = 8.33 ft.

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7 0
4 years ago
It is 3/5 mile from Elaine's home to her school. It is 1/10 mile from her home to the library. How much farther is Elaine's home
Kipish [7]
3/5 is equivalent to 6/10

the school is 6/10 miles away
the library is 1/10 miles away

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Write the equation of the line that passes through the point (-2,-3) and has a slope of 5.
kolezko [41]

Answer: y=5x+7

Step-by-step explanation:

Since we are given the slope, all we have to do is plug in the given point and solve for the y-intercept.

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6 0
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