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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?

Options

(0, 35)

(10, 30)

(15, 25)

(20, 15)

(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.

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.