Find the maximum profit and what are the dimensions of the

Question

1) Find all real solutions of:

2x⁴ + x² = 3

2) Given the complex numbers. Find and simplify z/w, w/z, z*W:

z = -5 + i and w = -4 + 2i

3) Solve the inequality:

9x² + 16 ≥ 24x

4) Skippy wishes to plant a vegetable garden along one side of his house. In his garage, he found 32 linear feet of fencing. Since one side of the garden will border the house, Skippy doesn't need fencing along that side.

What are the dimensions of the garden, which will maximize the area of the garden? What is the maximum area of the garden?

5) The cost, in cents, to produce x cups of Mountain Thunder Lemonade at Junior's Lemonade Stand C(x) = 18x + 240, x ≥ 0 ?and the price-demand function, in cents per cup, is p(x) = 90 - 30x, 0 ≤ x ≤ 30. Find the maximum profit.