A wood-working company produces produces three specialty items: Doghouses, Birdhouses and Planter Boxes. The times (in hours), it takes in each operation to produce the items are shown in the table, as well as time available for each operation: Do house x Bird House at Planters x Cost to Produce each Cutting 1 1 1 30 Assembly 1 2 1 30 Finishing 2 3 2 40 How many of each can be produced to minimize the production costs. However, because of contract agreements, the Company must run each of the operations a minimum of 40, 50, and 60 hours per week, respectively. Set up the original Linear Programming, then the Dual, and the Initial Tableau for the Dual. Then state the solution ( 4,4,2,2)