A Chemical company manufactures three chemicals: A, B, and C. These…A Chemical company manufactures three chemicals: A, B, and C. These chemicals areproduced via two production processes: 1 and 2. Running process 1 for an hour costs $400 and yields300 units of A, 100 units of B, and 100 units of C. Running process 2 for an hour costs $100 and yields100 units of A and 100 units of B. To meet customer demands, at least 1000 units of A, 300 units of B,and 300 units of C must be produced daily. Determine a daily production plan that minimizes the costof meeting the company’s daily demands.2. A furniture company manufactures desks and chairs. Each desk uses four units of wood,and each chair uses three units of wood. A desk contributes $400 to profit and chair contributes $250.Marketing restrictions require that the number of chairs produced be at least twice the number of desksproduced. There are 2000 units of wood available. What is the maximum company’s profit?3. Maggie Stewart loves desserts, but due to weight and cholesterol concerns she has decidedshe must plan her desserts carefully. There are two possible desserts she is considering: snack bars andice cream. After reading the nutrition labels on the snack bar and ice cream packages, she learns thateach serving of snack bar weighs 37 grams and contains 120 calories and 5 grams of fat. Each serving ofice cream weighs 65 grams and contains 160 calories and 10 grams of fat. Maggie will allow herself nomore than 3150 calories and 175 grams of fat per week in her desserts, but because she loves dessert somuch, she requires at least 840 grams of desserts per week. Each serving of ice cream has 3.5 grams ofproteins and each serving of snack bar has 2.5 grams of proteins. Find the weekly dessert plan that staywithin her constraints and maximizes total protein of her dessert (write down the mathematical modeland solve the problem using graphical approach)? Round the answer to nearest integer. MathStatistics and Probability BUSI2013 2013
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