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OPERATIONS RESEARCH Graphical Linear Programming Problem Sheet For each question: Write the objective function and he constraints Diagram the constraint and identify the feasible region Identify the production level that meets the objective of maximum profit 1. A small bakery produces and sells patties and meat loaves each requiring flour and ground beef. The table below provides the relevant details. Input/Dozen Patties Meatloaf Availability Flour (tb) 35 450 Ground beef 23 210 PROFIT Dozen $300 $400 Additionally the company is advised that the selling capacity for meat loaf does not exceed 75 dozens NB: YOUR ANSWER REPRESENTS DOZENS OF THE PRODUCTS 2. A manufacturer produces two types of calculator; each requiring material and labour as shown below: Input Scientific Calculator Graphic Calculator Availability Labour (hrs) 4 200 Inspection time 2 1 80 Material (cm) 10 12 600 PROFIT $200 $300 3. A company produces two types of filing cabinets. Cabinet X requires $10,000 of raw material per unit requires six square feet of floor space, Cabinet Y requires $20,000 per unit of raw material and eight square feet of floor space. The company has $ 360,000 for material purchase 96 square feet of storage space. How many of each type should the company produce to maximize profit if cabinet X returns $1000 per unit and cabinet Y S1500