Bakery ABC produces two products, butter cake, and chocolate cake. The sales volume for butter cake is at least 80% of the total sales of both butter cake and chocolate cake. However, the company cannot sell more than 100 pieces of butter cakes per day. Both products use flour, of which the maximum daily availability is 240 kg. The usage rates of the flour are 2 kg for every butter cake and 4 kg for every chocolate cake. The profit per piece of butter cake and chocolate cake are RM20 and RM50 respectively. Solve this case study using the graphical method.

Question

Bakery ABC produces two products, butter cake, and chocolate cake.  The sales volume for butter cake is at least 80% of the total sales of both butter cake and chocolate cake.    However, the company cannot sell more than 100 pieces of butter cakes per day. Both products use flour, of which the maximum daily availability is 240 kg.  The usage rates of the flour are 2 kg for every butter cake and 4 kg for every chocolate cake.  The profit per piece of butter cake and chocolate cake are RM20 and RM50 respectively.  Solve this case study using the graphical method.
									
a)	Construct the objective function of the given case-study.

b)	Construct the constrains of the given case-study.

c)	Propose the quantity of butter cake and chocolate cakes to be produced daily in order to maximize profit using graphical method approach.