Aquila is a specialist car manufacturer and currently if has two models; the LXT and HXT. The contribution to profits for the LXT is 580 and for the HXT it is 440. During manufacture each product has to pass through 3 workshops: the Body shop, the Assembly shop and the Painting shop. LXT requires 5 hours in the Body shop, 9 hours in the Assembly shop and 7 hours in the Painting shop. The HXT model requires 10 hours in the Body shop, 2 hours in the Assembly shop and 5 hours in the Painting shop. Each shop works 40 hours per week. There is also a requirement that at least 60% of the total weekly output must be for the model LXT. (b) Use graphical technique of linear programming to determine how much of each model to make and the profit as a result of this production schedule