Consider the optimization problem of minimizing a function f(x) over a standard from polyhedron. When f(x) is linear, one method of solution is to employ the Primal Path Following Algorithm (discussed in class and in Section 9.4 of the textbook). Now, suppose f(x) is not linear, but is twice continuously differentiable. Can the same algorithm still be used to solve this new problem? Carefully discuss some possible outcome

The cost of turkey is directly proportional to its weight. if a 12-pount turkey costs $27, how much does a 16-pound turkey cost? a. $33.75 b. $36.00 c. $31.00 d. $32.50

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.

Which statement best describes how to determine whether f(x) = x squared- x +8 is an even function ?