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3 years ago

Max p=3x+2y subject to 5x+y<16 2x+3y<22 x>0 y>0

Mathematics

1 answer:

garri49 [273]3 years ago

3 0

Answer:For all the corner points, the maximum is at point (1, 3)

From the graph of the constraints, the corner points of the feasibility region are (0, 0), (0, 10/3), (1, 3), (2, 0)

For (0, 0): p = 0 + 2(0) = 0

For (0, 10/3): p = 0 + 2(10/3) = 20/3 = 6.67

For (1, 3): p = 1 + 2(3) = 1 + 6 = 7

For (2, 0): p = 2 + 2(0) = 2

Therefore, solution = (1, 3)

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3 years ago

{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4)

Julli [10]

Answer:

Step-by-step explanation:

<u>Solving with one operation at each step:</u>

{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) =
{362 – [63 + 24 x 2]} + 3(9 +4) =
[362 – (63 + 48)] + 3(9 +4) =
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2 years ago

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Carina spent a total of $5.27 buying a pineapple for $3.40 and several pounds of tomatoes that were on sale for $0.85 per pound.

gulaghasi [49]

Okay so I'm going to set up a equation:

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next I isolate the variable:

5.27-3.40=0.85x

next:

1.87=0.85x

x= 2.2

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3 years ago

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3 questions pls help

3241004551 [841]

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3 years ago

Construct a 99% confidthence interval for the population mean .Assume the population has a normal distribution. A group of 19 ra

Kobotan [32]

<h2>Answer with explanation:</h2>

Confidence interval for mean, when population standard deviation is unknown:

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}$

, where $\overline{x}$ = sample mean

n= sample size

s= sample standard deviation

$t_{\alpha/2}$ = Critical t-value for n-1 degrees of freedom

We assume the population has a normal distribution.

Given, n= 19 , s= 3.8 , $\overline{x}=22.4$

$\alpha=1-0.99=0.01$

A) Critical t value for $\alpha/2=0.005$ and degree of 18 freedom

$t_{\alpha/2}$ = 2.8784

B) Required confidence interval:

$22.4\pm ( 2.8744)\dfrac{3.8}{\sqrt{19}}\\\\=22.4\pm2.5058\\\\=(22.4-2.5058,\ 22.4+2.5058)=(19.8942,\ 24.9058)\approx(19.9,\ 24.9)$

Lower bound = 19.9 years

Uppen bound = 24.9 years

C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .

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3 years ago