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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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The sum of 5 consecutive odd numbers is 135 what is the second number in this sequence
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Step-by-step explanation:

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Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for
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Point-slope form of equation is: y - 7 = -15(x-1)

Step-by-step explanation:

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(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

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Point-slope form is given by:

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Putting the value of slope

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We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

y - 7 = -15(x-1)

Hence, point-slope form of equation is: y - 7 = -15(x-1)

Reducing and simplifying

y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

  • brainly.com/question/6200750
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2 years ago
An unknown fraction is between 0 and 1. Which is true about the equivalent percent and decimal?
monitta

Answer:

The answer is C.

Step-by-step explanation: The number between 0 and 1. Think of decimals as cents, 100 cents makes a whole. So the number will be greater than 0 but less than 100.

7 0
3 years ago
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