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The Latex Manufacturing Company produces aluminum frying pans and casserole dishes. Each frying pan and each casserole dish requires 40 ounces of...
The Latex Manufacturing Company produces aluminum frying pans and casserole dishes. Each frying pan and each casserole dish requires 40 ounces of aluminum. The company's daily supply of aluminum is limited to 560 ounces. Each frying pan requires 20 minutes on the casting machine. The casting machine is available for 400 minutes daily. Each frying pan requires an insulated handle and only 12 of these are available daily. Each casserole dish requires two special pick-up handles and only 16 of these are available daily. Each frying pan contributes P25 to profit and each casserole dish contributes to P20. The objective is to find the number of casserole and frying pan to make daily in order to maximize the profit.
B-Meg Company wants to mix exactly 700 pounds of special kind of dog food. There are two principal ingredients in the mixture, both sources of protein P1 and P2. The first source of protein, p1 cost P50 a pound and P2 cost P80 per pound. Chemical constraints dictate that the mixture contain no more than 500 pound of P1 and must contain at least 300 pounds of P2. How many pounds of each ingredient must be utilized in order to minimize the cost?
A manufacturer produces bicycles and motor cycles, each of which must be processed through two machine centers. Machine center 1 has a maximum of 120 hours available and machine 2 has a maximum of 180 hours available. A bicycle requires 6 hours in machine center 1 and 3 hours in machine center 2. Manufacturing a motorcycle requires 4 hours in machine center 1 and 10 hours in machine center 2. If the profit is P450 for each bicycle and P2500 for a motorcycle, determine the number of bicycles and number of motorcycles to produce to maximize the profit, considering that the number of motorcycles must not exceed 12 units and bicycle must be at least 10 units.
A power plan burns coal, oil and gas to generate electricity. Suppose that each ton of coal generates 800kilowatts, emits 20 units of sulpher dioxide and 15 units of particulate matter, and cost P200. Each ton of oil generates 550 kilowatts, emits 18 units of sulpher dioxide and 12 units of particulate matter and costs P220. Each ton of gas generates 550 kilowatts, emits 15 units of sulpher dioxide and 10 units of particulate matter and costs P250. The environmental protection agency restricts the daily emission of sulpher dioxide to no more than 60 units and no more than 70 units of particulate matter. If the power plan wants to spend no more than P2,000 per day on fuel, how much of each type should be used to maximize the amount of power generated?
