Options
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.
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.