Exercise 5.6. Consider the standard-form problem of minimizing c"r subject to Ar = b, x > 0, with 1 1 1 -1 -3 (:) 1 A = b = and c= -2 (a) Use any method of your choice to find a vertex for this constraint set. (b) Is the vertex optimal? Explain why or why not.

What are the values of u1 and u5?

QUESTION 14 Calculate the maximum value of 4x + 6y subject to the constraints below: 3x + y ≤ 16 x + 3y ≤ 16 y≥ 1 x ≥ 0

(a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost​ (ordering cost plus carrying​ cost) in terms of x and r. B. (b) There are r orders of x packages in a year.​ Therefore, there are r times x packages ordered in a year. Therefore, the constraint equation is____ (c) To find the minimum value of​ C, use the first derivative test to locate the extreme point.  Find the expression for Upper C prime.