Seram Seramik Sdn. Bhd. received orders on décor lamp and vase made from clay with Perak Malay traditional design. Main resources used to produce both products are skill labour and clay specially purchased from Ipoh. Table 3.1 shows the requirements for both resources and estimated profit to produce each product.

The company has 10 skilled workers and clay always kept in stock 240kg per day for making both products. It works 8 hours per day.

i. Develop a complete Linear Programming model that represents all the above constraints, i.e. variables, objective function and constraint equations.

ii. Using graphical solution method, determine the mix quantities of lamp and vase to be produced by the company so that it maximizes the profit.
 

Table 3.1: Profit and resources requirement for making lamp and vase Resource requirement Labour (hr/unit) 2 4 Product Lamp Vase Clay (kg/unit) 8 6 Profit (RM/unit) 12.00 15.00