Develop a model that would tell the company how many of each toy to produce during each month, You are to minimize total cost. Invertory cost will be levied on any items in inventory on June 30, July 31, or August 31 after demand for the month has been satisfed. Your model should make use of the relotionship: Beginning inventory + Production - Demand = Ending inventory for each month. The company wants to end the summer with at least 145 rocking horses and 40 scooters as beginning inveotory for September 1 . (Let Pj number of toy i(i=1 corresaonds to rocking harses and i=2 corresponds to sceoters.) to produce in month j(j=1 corresponds to June, j=2 cocresponds to July, J=3 corresponds to August). Let Sy - surplus (inventory) of toy it to at the end of month /.) Mir Rocking Horse Inventory (June) Rocking Horse Inventory (August) Final Rocking Horse Inventory Scooter Inventory (June) Scooter Inventory (July) Scooter Horse Inventory (August) Final Scooter Inventory June Plastic Availability July Plastic Availability August Plastic Availability June Time Availability July Time Availability August Time Availability Pij,Sij0 for all i and j