Please answer with explanation.I will really upvote. Thanks Homer Tube Inc. manufactures two types of tubing: copper tubing and plastic tubing. Their factory has a capacity tomanufacture up to 300 copper tubes and up to 500 plastic tubes per month, but can only manufacture up to a combinedtotal of 700 of both types of tubes per month, Each copper tube takes 4 hours to manufacture and each plastic tube takes2 hours to manufacture. Homer Tube has budgeted 1,800 hours per month to produce theise tubes.If Homer Tube makes $33.00 profit on each copper tube and $17.50 profit on each plastic tube, how many of each type oftube should Homer Tube manufacture in order to maximize profits?copper tubesplastic tubesWhat is the maximum monthly profit?

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Answered: Homer Tube Inc. manufactures two types…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.
The 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).
The water-supply manager for a Midwest city needs to supply the city with at least 10 million gal of potable (drinkable) water per day. The supply may be drawn from the local reservoir or from a pipeline to an adjacent town. The local reservoir has a maximum daily yield of 6 million gallons of potable water, and the pipeline has a maximum daily yield of 10 million gallons. By contract, the pipeline is required to supply a minimum of 6 million gallons/day. If the cost for 1 million gallons of reservoir water is $300 and that for pipeline water is $600, how much water should the manager get from each source to minimize daily water costs, C, for the city?
A diesel engine uses Type A filter and high-grade lubricating oil costing P5.50 per liter. With this filter, the oil and the filter have to be changed every 500 hours of operation, and 5 liters of coil have to be added every 100 hours. This filter costs P148 a piece. Eighty liters of coil fill the engine. Another type, filter B, costing P120 may be used with a lower grade of oil costing P4.80 per liter. However, if this filter is used, the oil and filter have to be changed every 300 hours, and 10 liters are added after each 150 hours the engine is used. Which type of filter and oil would you recommend?
Approaching the month of Ramadan, PT Prima Sehat predicts that there will be an increase in demand for electronic goods, both TVs and microwaves. All of these electronic products have the same processing process, but have different processing times. For TV requires 4 hours of electronic processing and 2 hours of assembly. While the microwave requires 3 hours of electronic processing time and 1 hour of assembly. Of the current capacity, there is a working time for electronics as much as 240 hours, and per work time as much as 100 hours. The profit for each product is 7 (in tens of thousands) and 5 (in tens of thousands). Please use the simplex method linear programming method to solve the above case
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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-Combines
The amount of nitrogen (in lb/acre), phosphate (in lb/acre), and labor (in hr/acre) needed to grow honeydews, yellow onjons, and lettuce is given by the table to the right. Complete parts a and b. OA. Yes, the farmer should allot B. No, it is not possible to use all resources completely. acres for honeydew, for yellow onions, and acres for lettuce. Honeydews 120 Nitrogen Phosphate 180 Labor 5 a) If the farmer has 230 acres, 30,300 lb of nitrogen, 34,400 lb of phosphate, and 400 hours of labor, is it possible to use all resources completely? If so, how many acres should he allot for each crop? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ⒸA. Yes, the farmer should allot acres for honeydew, OB. No, it is not possible to use all resources completely. Yellow onions 150 acres for lettuce. 80 6 Lettuce b) Suppose everything is the same as in part a, except that 1180 hours of labor are available. Is it possible to use all resources…
TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 6500 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2600 and 4100 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location I $7 $4 Location II $8 $8 TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), to a minimum. Minimize C =…
A 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.
This time, our immune system is the best defense. With this, a Melagail wishes to mix two types of foods in such a way that vitamin contents of the mixture contain at least 8 units of vitamin A and 10 units of vitamin C. Food A contains 2 units/kg of vitamin A and 1 unit/kg of vitamin C. Food B contains 1 uni/.kg of vitamin A and 2 units/kg of vitamin C. It costs 50.00 pesos per kg to purchase Food A and 70.00 pesos per kg to purchase Food B. Formulate this problem as a linear programming problem to minimize the cost of such a mixture.
A large national producer of canned foods plans to purchase 100 combines that are to be customized for its needs. One of the parts used in the combine is a replaceable blade for harvesting corn. Spare blades can be purchased at the time the order is placed for $100 each, but will cost $1,000 each if purchased at a later time because a special productionrun will be required.It is estimated that the number of replacement blades required by a combine over its useful lifetime can be closely approximated by a normal distribution with mean 18 and standard deviation 5.2. The combine maker agrees to buy back unused blades for $20 each. How many spare blades should the company purchase with the combines?

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