V^{*}={A^{T}v | v ≥ 0}. (Hint: It is useful to use/prove that a finitely generated cone is closed.)
You can do this by forming the LP you found in your solution of exercise 4.17, or more directly, using cvx. Give the optimal activity levels, the revenue generated by each one, and the total revenue generated by the optimal solution. Also, give the average price per unit for each activity level, i.e., the ratio of the revenue associated with an activity, to the activity level. (These numbers should be between the basic and discounted prices for each activity.) Give a very brief story explaining, or at least commenting on, the solution you find.