A chicken farmer can buy a special food mix
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- A Toot can be made in 30 minutes and has a feather attached to it. A Wheet requires 15 minutes, has two feathers, and is sprinkled with 0.5 oz of sequin powder. A Honk requires 30 minutes, has three feathers, and one oz. of sequin powder. The net profit is $0.40 per Toot, $0.50 per Wheet, and $0.80 per Honk. The following resources are available: 4800 minutes of labor, 360 feathers, and 90 oz. of sequin powder. Determine the quantity of each type of noisemaker that maximizes profit.arrow_forwardIt is convenient to add salt to butter, produced in a continuous butter-making machine, by adding a slurry of salt with water containing 60% of salt and 40% of water by weight. If the final composition of the butter is to be 15.8% moisture and 1.4% salt, estimate the original moisture content of the butter prior to salting.arrow_forwardA Tailor has the following material 16 square yard cotton, 11 square yard silk and 15 squareyard wool. As suit requires 2 square yard cotton, 1 square yard silk and 1 square yard wool. A gownrequires 1 square yard cotton, 2 square yard silk and 3 square yard wool. If the suit sales for Rs. 300and gown sales for Rs. 500. How many garments should the tailor made to Maximize the revenue.Formulate the problem as an LP- Model and then solve by Graphical Methodarrow_forward
- A city of 70000 residents has an average water demand of 250 L/ca.day. The institutional and commercial, and industrial average areas in the city are 250 and 350 Ha, and water demand expected is 20 and 23 m3 /Ha.d. The public water use and water unaccounted for are 10 and 6 % of total municipal water demand, respectively. Calculate total municipal demand and each component quantity as a % of total municipal demand.arrow_forwardThe number of collection vehicles a community would need for solid waste collection in a certain municipality is 6 trucks. Find a total number of services (customers) that are to be collected once per week during 4 working days. (Realistically, most trucks can service only about 200 to 300 customers before the truck is full and a trip to the landfill is necessary).arrow_forwardThe supervisor at the Precision Machine Shop wants to determine the staffing policy that minimizes total operating costs. The average arrival rate at the tool crib, where tools are dispensed to the workers, is eight machinists per hour. Each machinist’s pay is $25 per hour. The supervisor can staff the crib either with a junior attendant who is paid $13 per hour and can process 12 arrivals per hour or with a senior attendant who is paid $16 per hour and can process 16 arrivals per hour. Which attendant should be selected, and what would be the total estimated hourly cost?arrow_forward
- A manufacturer makes two types of tractors, the X-Harvester and the Y-Combine. The time for assembling is 3 hours for the X and 4 hours for the Y. The total assembly time allotted is 8,400 hours. Finishing the machines takes 3 hours for the X, 2.5 hours for Y. Total finishing time allotted is 5,700 hours. Packing takes 0.8 hour for X, 0.4 hour for Y. Total packing time is 1,340 hours. Profit (P) is $30,000 for each X-Harvester and $37,500 for each Y-Combine. (Use the variables X and Y, capitalized.) a) Give the objective function. Profit= b) List all 5 constraints. c) List the corners of the constraint graph. (A manufacturer can produce a fraction of a machine in this period, to be finished and sold in the next period.) d) Evaluate the objective function at the corners. i) What is the maximum profit? ii) How many of each type of tractor should this manufacturer produce? X-Harvesters Y-Combinesarrow_forwardFrom the data given compute the sales price for each product T and O. From the data given compute variable cost per unit for each product T and O. Letter Co. produces and sells two products, T and O. It manufactures these products in separate factories and markets them through different channels. They have no shared costs. This year, the company sold 50,000 units of each product. Sales and costs for each product follow.arrow_forwardA diesel engine uses type A filter and high-grade lubricating oil costing P55 per liter. With this filter, the oil and the filter have to be changed every 500hrs. of operation, and 5L of oil have to be added every 100hrs. This filter costs P1480 a piece. Eighty liters of oil fill the engine. Another type, filter B, costing of P1200 may be used with a lower grade of oil costing P48 per liter. However, if this filter is used, the oil and filter have to be changed every 300hrs and 10 liters are added after each 150hrs the engine is used. Hint: Consider the cost per hour.arrow_forward
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