Answer:x=20
Step-by-step explanation:
Given
selling Price of Toy is x dollars
he can sell 40-x toys each week
Thus Revenue Generated from selling 40-x toys at x dollar can be given by
[tex]R=-x^2+40x[/tex]
To get maximum Revenue differentiate R with respect to x and equate it to 0
therefore [tex]\frac{\mathrm{d} R}{\mathrm{d} x}=-2x+40[/tex]
[tex]-2x+40=0[/tex]
[tex]x=20[/tex]
thus for maximum Revenue owner sells 20 toys each week
Max Revenue [tex]R=-(20)^2+40\times 20=-400+800=$ 400[/tex]
