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Mumz [18]
3 years ago
13

The profit p in dollars of selling x widgets and y gadgets is given by the function p(x,y)=7x+6y. Which corner point of the shad

ed region will maximize the profit?
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

<u>Options</u>

  • (0, 35)
  • (10, 30)
  • (15, 25)
  • (20, 15)

Answer:

(C) (15,25)

Step-by-step explanation:

The profit p in dollars of selling x widgets and y gadgets is given by the function p(x,y)=7x+6y.

<u>Option A</u>

When x=0 and y=35

p(x,y)=7(0)+6(35)

p(x,y)=210

<u>Option B</u>

When x=10 and y=30

p(x,y)=7(10)+6(30)

p(x,y)=250

<u>Option C</u>

When x=15 and y=25

p(x,y)=7(15)+6(25)

p(x,y)=$255

<u>Option D</u>

When x=20 and y=15

p(x,y)=7(20)+6(15)

p(x,y)=$230

We observe that the point (15, 25) in Option C yields the highest profit ($255). Therefore, it is the point that maximizes profit.

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The Jackson's dinner cost $125. They left $21.25 as a tip. What was the percentage of the tip? Please explain and help me! THANK
fiasKO [112]

Answer:

17%

Step-by-step explanation:

to find the percentage of something, you have to fill out the following formula:

x/100 = 21.25/125. Basically that is saying that some percent out of 100 is equal to 21.25 out of 125. To solve that, you have to cross multiply:

125x = 2125

then you have to divide, to single out x:

the answer is 17

so it is 17%

3 0
2 years ago
Read 2 more answers
8x= -14 Give your answer as an improper fraction in its simplest form. please help its due now! AWARD = BRAINLIEST!!!
Mrrafil [7]

Answer:

x= -7/4

Step-by-step explanation:

8x= -14

Divide both sides by 8

8x/8 = -14/8

Simplify

x= -7/4

6 0
3 years ago
Read 2 more answers
Are the following lines parallel, perpendicular, or neither: y=-x+6 and y=x+1
Artist 52 [7]

Answer:

The following lines is perpendicular, y=-x+6 and y=x+1

Step-by-step explanation:

  • Slope of parallel lines are equal

(ex. slope of 2 stays 2 )

  • Slope of perpendicular lines to another is the negative reciprocal

(ex. slope of 2 becomes -1/2)

y = -x + 6 and y = x + 1

the slope for y = -x + 6 is <em>-1    (-1/1)</em>

the slope for y = x + 1 is <em>1</em>

the slope -1 is the negative reciprocal of 1

hence, the definition of perpendicular fits the given

Learn more about Perpendicular and Parallel Lines here: brainly.com/question/1202004

7 0
2 years ago
Please help me!!<br> I need to find the point!!!! (x,y)
natali 33 [55]

Answer:

x=2 y=-2

Step-by-step explanation:

you can solve this with the elimination process

-10x+6y=-32

-6x+6y=-24

you can multiply the bottom equation by a -1

-10x+6y=-32

-1(-6x+6y=-24)

making it

-10x+6y=-32

6x-6y=24

this allows you to cancel out 6y because 6y-6y=0

so you are left with

-10x=-32

6x=24

add them

-10x=-32

+6x=24

________

-4x=-8

divide by -4=2

x=2

plug that into the original equation

-10(2)+6y=-32

-6(2)+6y=-24

=

-20+6y=-32

-12+6y=-24

add them

-20+6y=-32

+-12+6y=-24

_________

-32+6y=-56

add 32

-56+32=-24

y=-24

4 0
2 years ago
Help ASAP please I need the answers please please
max2010maxim [7]

Answer:

1 is adjacent and linear pair 2 is adjacent and not linear pair 3 is not adjacent and not linear pair

Step-by-step explanation:

4) angle 4and5 are adjacent

5)angle 1and4 are linear pair

6)angle 2and3 are linear pair

5 0
3 years ago
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