Question 18, 6.3.19-BE HW Score: 76.98%, 27.71 of 36 points Part 1 of 2 Points: 0 of 1 Save X A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equations, in millions of dollars, for the year are given as follows. R(x,y) = 5x + 3y C(x,y) = x2 - 3xy + 9y2 + 7x -54y -3 Determine how many of each type of solar panel should be produced per year to maximize profit. The company will achieve a maximum profit by selling solar panels of type A and selling solar panels of type B.Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a minimum. f(x,y) = 12-x - y"; x+ 2y =5 . . . There is a value of located at (x,y) = 7. (Simplify your answers.)f ( my ) = 12 -nt - yb Constraint function is 1+24=5. : 125-24 Now put a = 5 - 24 in , we get only function of of f (8) = 12- (5- 24 ) -y 12 - (5 - 24) - YL 12- (25 - 204 + +" ) -yr 12- 25-+204-#-49 - yz - 13 -+204 - 5yr. . How (") is only. function ofy. | onevariabler Function Now we find the critical paint of fly) Now f (y ) = 20 - 10y. [Differentlar co.nit & of / f (8 ) HOW f ( y ) = 0 . => 193 20- 10% = 0 y = 2Now "(9 ) = -10 20 J "( y ) = 10 at y = 2. so . flajhay manimum value at you. How when 4= 2, then a we find the value of from . "'x + 24 = 5. Now 1-+ 24 = 5 -7 1-+ 212 25 =7 + 4:5 =) m= and 19- 2 Maximum value of flag) at ( 1,2 ) is J ( 1 , 2 ) = 12 - (13" : (2)2 .... = 12- 1-4 12 - 5 7 (AND )