1 0 , 12 V. 9. Using the simplex procedure, solve the spare-parts manufacturer's problem 4. A small firm specializes in making five types of spare automobile parts. Each part is first cast from iron in the casting shop and then sent to the finishing shop where holes are drilled, surfaces are turned, and edges are ground. The required worker-hours (per 100 units) for each of the parts of the two shops are shown below: Part 1 2 3 4 5 Casting 21331 Finishing 32211 The profits from the parts are $ 30, $20, $ 40, $ 25, and $ 10 (per 100 units), re- spectively. The capacities of the casting and finishing shops over the next month are 700 and 1000 worker-hours, respectively. Formulate the problem of deter- mining the quantities of each spare part to be made during the month so as to maximize profit