Hi guys merry christmas and happy new year!

Jonathan is deciding between two truck rental companies. Company A

hjlf

Answer:

Jonathan is deciding between two truck rental companies. Company A

charges an initial fee of go for the rental plus $1 per mile driven

Company B charges an initial fee of $10 for the rental plus $1.50 per

mile driven. Let A represent the amount Company A would charge if

Jonathan drives s miles, and let B represent the amount Company B

would charge if Jonathan drives s miles, Graph each function and

determine which company would be cheaper if Jonathan needs to

drive 60 miles with the rented truck,

3 0

3 years ago

Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. T

Kaylis [27]

Answer:

z (max) = 1250 $

x₁ = 25 x₂ = 0 x₃ = 25

Step-by-step explanation:

Profit $ mach. 1 mach. 2

Product 1 ( x₁ ) 30 0.5 1

Product 2 ( x₂ ) 50 2 1

Product 3 ( x₃ ) 20 0.75 0.5

Machinne 1 require 2 operators

Machine 2 require 1 operator

Amaximum of 100 hours of labor available

Then Objective Function:

z = 30*x₁ + 50*x₂ + 20*x₃ to maximize

Constraints:

1.-Machine 1 hours available 40

In machine 1 L-H we will need

0.5*x₁ + 2*x₂ + 0.75*x₃ ≤ 40

2.-Machine 2 hours available 40

1*x₁ + 1*x₂ + 0.5*x₃ ≤ 40

3.-Labor-hours available 100

Machine 1 2*( 0.5*x₁ + 2*x₂ + 0.75*x₃ )

Machine 2 x₁ + x₂ + 0.5*x₃

Total labor-hours :

2*x₁ + 5*x₂ + 2*x₃ ≤ 100

4.- Production requirement:

x₁ ≤ 0.5 *( x₁ + x₂ + x₃ ) or 0.5*x₁ - 0.5*x₂ - 0.5*x₃ ≤ 0

5.-Production requirement:

x₃ ≥ 0,2 * ( x₁ + x₂ + x₃ ) or -0.2*x₁ - 0.2*x₂ + 0.8*x₃ ≥ 0

General constraints:

x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers

The model is:

z = 30*x₁ + 50*x₂ + 20*x₃ to maximize

Subject to:

0.5*x₁ + 2*x₂ + 0.75*x₃ ≤ 40

1*x₁ + 1*x₂ + 0.5*x₃ ≤ 40

2*x₁ + 5*x₂ + 2*x₃ ≤ 100

0.5*x₁ - 0.5*x₂ - 0.5*x₃ ≤ 0

-0.2*x₁ - 0.2*x₂ + 0.8*x₃ ≥ 0

x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers

After 6 iterations with the help of the on-line solver AtomZmaths we find

z (max) = 1250 $

x₁ = 25 x₂ = 0 x₃ = 25

6 0

3 years ago

James is visiting a state with a 5% sales tax rate. He bought a travel guide that cost $22. What is the total cost of the travel

Tom [10]

$22x5% = $1.10 or 22x.05= 1.1
$22.00 + $1.10 = $23.10

7 0

3 years ago

These data can be approximated quite well by a N(3.4, 3.1) model. Economists become alarmed when productivity decreases. Accordi

CaHeK987 [17]

Answer:

First part

$P(X< 3.4-0.6*3.1) = P(X$

And for this case we can use the z score formula given by:

$z = \frac{x- \mu}{\sigma}$

And using this formula we got:

$P(X$

And we can use the normal standard table or excel and we got:

$P(Z$

Second part

For the other part of the question we want to find the following probability:

$P(-1.715$

And using the score we got:

$P(-1.715$

And we can find this probability with this difference:

$P(-1.65< Z< 1.210)=P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the data of a population, and for this case we know the distribution for X is given by:

$X \sim N(3.4,3.1)$

Where $\mu=3.4$ and $\sigma=3.1$

First part

And for this case we want this probability:

$P(X< 3.4-0.6*3.1) = P(X$

And for this case we can use the z score formula given by:

$z = \frac{x- \mu}{\sigma}$

And using this formula we got:

$P(X$

And we can use the normal standard table or excel and we got:

$P(Z$

Second part

For the other part of the question we want to find the following probability:

$P(-1.715$

And using the score we got:

$P(-1.715$

And we can find this probability with this difference:

$P(-1.65< Z< 1.210)=P(Z$

8 0

3 years ago

1. In AFKR, which side is included between

Igoryamba

Answer:

(B.)k

Step-by-step explanation:

in between F and R is K.

4 0

3 years ago