Assignment:
Answer the following for each of the functions given below by restricting attention to the part of the
domain where the variable values are non-negative and assuming A=1, a=1, b=1, c=0, l=1, k=1, r= 1/2, gamma = 1/2, delta=1/2, s=1/2.
1. Determine whether the function is homogeneous.
2. Determine whether the function is concave or convex.
3. If applicable, find the equation of the tangent plane at point (1,1).
4. State the equation of the level curve through point (1,1).
5. If applicable, find the slope of the level curve at point (1,1) and use calculus to determine whetherthe level curve is convex or concave.
6. Draw the level curves for the function values 1, 2, and 3.
7. Determine whether the function is quasi-concave or quasi-convex.
8. Determine whether the function is homothetic.
