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pickupchik [31]
2 years ago
14

Your computer supply store sells two types of inkjet printers. The first, type A, costs $267 and you make a $24 profit on each o

ne. The second, type B, costs $127 and you make a $20 profit on each one. You can order no more than 170 printers this month, and you need to make at least $3760 profit on them. If you must order at least one of each type of printer, how many of each type of printer should you order if you want to minimize your cost?
I need to see the step by step way you got the answer and the graph please
Mathematics
1 answer:
In-s [12.5K]2 years ago
5 0

The first, type A, costs $267 and you make a $24 profit on each one.

The second, type B, costs $127 and you make a $20 profit on each one.

number of printers = 170

Let x be the number of type A printers

Let y be the number of type B printers

x + y < = 170

you need to make at least $3760 profit on them

profit for type A is 24 and type B is 20

so 24x + 20y >= 3760

Our constraints are

x + y < = 170

24x + 20y >= 3760

x>=0  and y>=0

Cost function is C= 267 x + 127 y

Now we graph all the constraints

Now we take all the end points

corner points are

(90,80), (156.667,0) (170,0)

We plug in each point in our cost function

C= 267 x + 127 y

(90,80) => 267(90) + 127(80) = 34,190

(156.667,0) => 267(156.667) + 127(0) = 41,830

5 (170,0)=> 267(170) + 127(0) = 41,390

Here minimum cost is 34,190 at (90,80)

So we order 90 printers of type A  and 80 printers for type B in order to minimize the cost

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What is the area of the circle below, in terms of ?90 metersO 457O 907O 1807O 81007134
defon

Step 1: Write out the formula

\begin{gathered} \text{Area of a circle = }\pi r^2 \\ \text{where } \\ r=\text{ the radius of the circle} \end{gathered}

Step 2: Write out the given values and substitute them into the formula

r=90m

Therefore,

\text{ the area of the circle = }\pi(90)^2=\pi\times8100=8100\pi m^2

Hence, the area in terms of pi is

8100\pi

The last choice is the correct answer

3 0
1 year ago
William and his three friends went out for lunch. The bill was $34 and they left a 15% tip. They want to split the bill equally.
slavikrds [6]

Answer:

Each person will pay $9.78

Step-by-step explanation:

Given that:

Amount of bill = $34

Tip = 15%

Amount of tip = \frac{15}{100}*34

Amount of tip = 0.15 * 34

Amount of tip = $5.10

Amount after bill = 34 + 5.10 = $39.10

Number of people = William + three friends = 4

Per person share = \frac{39.10}{4}

Per person share = $9.775

Rounded to two decimal places

Per person share = $9.78

Hence,

Each person will pay $9.78

8 0
2 years ago
Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.
stepladder [879]

Answer:

The regression line is not a good model because there is a pattern in the residual plot.

Step-by-step explanation:

Given is a  residual plot for a data set

The residual plot shows scatter plot of x and y

The plotting of points show that there is not likely to be a linear trend of relation between the two variables. It is more likely to be parabolic or exponential.

Hence the regression line cannot be a good model as they do not approach 0.

Also there is not a pattern of linear trend.

D) The regression line is not a good model because there is a pattern in the residual plot.

3 0
2 years ago
What is the answer to 1 3/5 × 3/5
nekit [7.7K]
(1 3/5) * 3 / 5 = 24/25
3 0
3 years ago
Read 2 more answers
Find the measure of HIW in picture.
Contact [7]
10x+2x+13=145
angle of WIJ and HIW is equal to 145 degrees
12x+13=145
12x=132
x=11
angle of WIJ is 10x
angle of HIW is 2x+13
to find angle of HIW, you plug in x=11 into 2x+13 and
the answer and angle of HIW is 35 degrees.

6 0
3 years ago
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