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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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