Brew Ha Ha & Tea Co. produces two types of coffee blends: Moring (x) and (y). The Morning Blend has 9 oz of Guatemalan coffee and 7 oz of Brazilian coffee, and the house blend has 6 oz of Guatemalan coffee and 10oz of Brazilian coffee. The company makes $2 in profit from each bag of the morning blend sold and $2.50 in profit from each bag of house blend sold. The company has 400 oz of both the Guatemalan and Brazilian coffees available. This set of inequalities represents the constraints in this situation. 9x + 6y< 400 7x + 10y<400 x > 0 y > 0 The company wants to maximize their profits using the objective function P = 2x + 2.5y What is the maximum profit? there is a chart for vertex and objective function

Answers

Answer 1

Answer: From the graph of the constraints, the corner points are: (0, 0), (0, 40), (33.33, 16.67), (44.44, 0)

For the corner points the profits are:
For (0, 0): P = 2(0) + 2.5(0) = 0
For (0, 40): P = 2(0) + 2.5(40) = 0 + 100 = 100
For (33.33, 16.67): P = 2(33.33) + 2.5(16.67) = 66.66 + 41.68 = 108.34
For (44.44, 0): P = 2(44.44) + 2.5(0) = 88.88

Therefore, the maximum profit is $108.34

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A washer and a dryer cost $814 combined. the washer costs $36 less than the dryer. what is the cost of the dryer?

Answers

This is a systems of equation problem.
First, set up the equation.
814=w+d w=d-36

Second, insert w= in for w in the equation.
814=d-36+d

Third, combine like terms.
814=2d-36

Fourth, solve the equation by adding 36 and dividing by 2 to both sides.
814=2d-36
+36 +36
___________
850=2d
----- ----
2 2

__________
425=d

So the dryer (d) costs $425.

A research firm wants to compute an interval estimate with 90% confidence for the mean time to complete an employment test. Assuming a population standard deviation of three hours, what is the required sample size if the error should be less than a half hour?

Answers

Answer:

n=97

Step-by-step explanation:

1) Notation and definitions

$\sigma=3$ population standard deviation known

Confidence=90% or 0.9

n sample size required (variable of interest)

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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 sample mean have the following distribution

$\bar X \sim N(\mu, (\sigma)/(√(n)))$

2) Calculation for the sample size required

In order to find the critical value we need to take in count that we are finding the interval for the mean with the population deviation known, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_(\alpha/2)=-1.64, t_(1-\alpha/2)=1.64$

The margin of error for the sample mean interval is given by this formula:

$ME=z_(\alpha/2)(\sigma)/(√(n))$ (a)

And on this case we have that $ME =\pm 0.5$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=((z_(\alpha/2) \sigma)/(ME))^2$ (b)

And replacing into equation (b) the values from part a we got:

$n=((1.64(3))/(0.5))^2 =96.83$

And rounded up we have that n=97

1344 is 240% of what number

Answers

The number is 560.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Let the required number be x.

Then, it follows that 1344 is 240% of x:

1344 = 240% of x

1344 = 240x/100

1344 = 12x/5

x = 1344×5/12

x = 560

Hence, the number is 560.

Learn more on percentages here:

brainly.com/question/14979505

#SPJ2

240% out of 1344=3225.6

49 increased by twice a number m

Answers

49+2x
Increase means “go up” which is another way to say addition
Twice means “two times” or “doubled”
A number would be a variable since it’s unknown

Hopefully this helps...

Answer:

49+2m

Step-by-step explanation:

49 is increased by twice a number m

Hope this helps!

1:2 = 4:8 The product of both the means and the extremes is

2
4
8
16

Answers

Answer:

Cross Products Property of Proportions states that the product of the means is equal to the product of extremes.

i,e $a : b : : c : d$

Also, in the proportion the first (a) and the last terms(d) are called the extremes, whereas the second(b) and the third terms(c) are called the means.

Given the proportion:

$1 : 2 = 4 : 8$

First term = 1

Second term = 2

Third term = 4

Fourth term = 8

By definition;

The product of means = $1 * 8 = 8$

The product of extremes = $2 * 4 = 8$

Therefore, the product of both the means and the extremes is, 8

lets say you have x:y=z:t
the means are y and z
the extremes are x and t
we have
1:2=4:8
means=2 and 4
extrememes=1 and 8
product of means=2 times 4=8
the product of extremes=1 times 8=8

the answer is 8

If JK = 4, KL = 3x, and JL = 7x, what is JL? Simplify your answer and write it as a proper fraction, mixed number, or integer.