Question

The profit p in dollars of selling x widgets and y gadgets is given by the function p(x,y)=7x+8y. Which corner point of the shaded region will maximize the profit?

Answer 1

Answer: (10,30)

Step-by-step explanation:

i got it wrong and it showed me the right answer

Answer 2

Option C yields the highest profit ($255).

We have given that Options

(0, 35)

(10, 30)

(15, 25)

(20, 15)

(C) (15,25)

We have to determine the corner point of the shaded region that will maximize the profit.

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

Option A

When x=0 and y=35

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

p(x,y)=210

Option B

When x=10 and y=30

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

p(x,y)=250

Option C

When x=15 and y=25

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

p(x,y)=$255

Option D

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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