1- (3 marks) BOAT BUILDERS/DISTRIBUTION. California Catamarans builds the Matey-20 catamaran boat in three locations: San Diego, Santa Ana, and San Jose. It ships the boats to its company-owned dealerships in Newport Beach (NB), Long Beach (LB), Ventura (VEN), San Luis Obispo (SLO), and San Francisco (SF). Production costs and capacities vary from plant to plant, as do shipping costs from the manufacturing plants to the dealerships. The following tables give costs, capacities, and demands for August. Production Shipping Cost per boat Plant cost/boat NB LB VEN SLO SF San Diego $1065 $200 $220 $280 $352 $500 Santa Ana $1005 $125 $125 $280 $350 $400 San Jose $975 $390 $365 $300 $250 $100 Plant Capacities and August Demand Plant Capacity August Demand San Diego 38 Newport Beach 42 Santa Ana 45 Long Beach 33 San Jose 58 Ventura 14 San Luis Obispo 10 San Francisco 22 Develop a production and shipping schedule for the Matey-20 catamaran for this period that minimizes the total production and shipping costs.