2. A local manufacturing industry in Iligan City produces three different metal products, each of which must be machined

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2 A Local Manufacturing Industry In Iligan City Produces Three Different Metal Products Each Of Which Must Be Machined 1 (175.66 KiB) Viewed 83 times

2. A local manufacturing industry in Iligan City produces three different metal products, each of which must be machined, polished and assembled. The specific time requirement for each product are as follows: PRODUCT MACHINING POLISHING ASSEMBLING 1 3 3 3 II 8 4 6 III 10 5 1 The firm has available to it 480 hours of machine time, 350 hours of polishing time and 325 hours of assembling time. The unit profits of the products are P60.00, P50.00 and P40.00 respectively. The firm promises to supply an outlet of 150 units of product I and 300 units of combination of products II and III. How many units of each product should the firm produce each week to meet all obligations? 3. A small generator burns two types of fuel: LOW SULFUR and HIGH SULFUR, to produce electricity. For one hour, each gallon of low sulfur emits 6 units of sulfur dioxide, generates 5 kilowatts electricity and cost P60.00. Each gallon of high sulfur emits 8 units of sulfur dioxide, generates 4 kilowatts and cost P50.00. The environmental protection agency insists that the maximum amount of sulfur dioxide that can be emitted per hour is 15 units. Suppose that at least 16 kilowatts must be generated per hour, how many gallons of low sulfur and how many gallons of high sulfur must be utilized per hour in order to minimize the cost of fuel? 4. A steel producer makes two types of steel: regular steel and special steel. A ton of regular steel requires 2 hours in the open-hearth furnace and 5 hours in the soaking pit. A ton of special steel requires 2 hours in the open-hearth furnace and 3 hours in the soaking pit. The open-hearth furnace is available 8 hours per day and the soaking pit is available 15 hours per day. The profit on a ton of regular steel is P4,800 and it is P5,700.00 on a ton of special steel. Determine how many tons of each type of steel should be made to maximize the profit?