(d) Find the maximum and minimum values of the function f(x, y, z) = yz + x? subject to the constraint a? + y? + 22 = 4.

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We use partial differentiation technique to maximize the revenue. The solution is explained below.

Q: Maximise the function f(x,y) = 8xy - 3x2 - 3x - 4y + 10 subject to the constraint 2x+ 3y = 4…

A:

Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y² + z²…

A:

Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

Q: S(x1, x2) = (3x1 + 2x2, x2, x1x2) is not linear. What are the parts of the function that cause the…

A:

Q: The graph of the quadratic function f(x) = cx2 + d has a vertex at (0,8) and passes through the…

A:

Q: Find the minimum and maximum values of the function f(x, y, z) = 5x + 2y + 4z subject to the…

A:

Q: Find the minimum and maximum values of the function f(x, y, z) = 3x + 2y + 2z subject to the…

A:

Q: For what values of the numbers a and b does the function f(x) = axeba2 have a maximum value f(2) =…

A:

Q: Find the maximum and minimum values of the function f(x, y, z, t) = x + Y + z + t subject to the…

A:

Q: Maximise z - 17.5x + 7 . (1) subject to the constraints, x + 3y s 12 . (2) 3x + ys 12 . (3) X, y 2 0…

A:

Q: Q5: Find the max and min points for the function: F(x,y) = xy, subject to the constraint x2+y2-xy=9

A:

Q: Does the ordered pair (3, 23) satify the function g(x)=7x+2? Does it satisfy the inequality y>7x+2?

A: