USING GOAL PROGRAMMING WO Date a company requires 2500 exearic motors next month por their product line op weed crimmers The electric motor consists of the coil & Snapt. It requires to produce a coil and a shaft. It has the capability to produce these components. Me cot op producing them is shown in the table proclucrion cost per unit ($) Componenr Coil Snart 4.50 The components that are produced must pass through three departments Fabricotion molding and inspection the number OF nours each component requires in each department and the fotal number of hours available next month for each department is shown in the tople below: wilability ches) 2500 Department coil cnrs) / snapt (hrs) Fabrication 0-9 Molding 0.5 Inspection 104 I 05 I 10.5 2500 1600 in order to derermine the number of components inat will produced, the company has ser the following goals which are all equally weighted goal1: me total costs to produce components next month should nor excoed 26,000 .900 : Idle nime in the fabrication department should be minimize .dol. Over time in me inspection department should be minimized a) Derermine the number of components produced and purchased next month according to these goa's are all the gools mer! If not by how much is the over- or under- achievement goal b) where all the gools mer le not