Question 1: A local manufacturing factory has decided to diversify its activities. The data collected by sales and production department is summarized as below: Potential demand exists for three products A, B and C. Market can take any amount of A and C whereas the share of B for this organization is expected to be not more than 400 units a month. For every 3 units of C produced, there will be one unit of a by-product which sells at a contribution of $ 3 a unit and only 100 units of this by-product can be sold per month. Contribution per unit of products A,B and C is expected to be $6,$8 and $4 respectively. These products require three different processes and the time required per unit product is given in Table below: Formulate the case as linear programming