Tile Production DataProfit/square footClaySilicaSandFeldsparGrade I$2.5050%5%20%25%PrintGrade II$4.0030%15%15%40%DoneGrade Ill$6.0025%10%15%50%0- A company makes ceramic and porcelain tiles. They produce three different grades of tile, each of which requiresdifferent amounts of materials and production time and generates different contributions to profit. The accompanyingtable shows the percentage of materials needed for each grade and the profit per square foot. Each week, the companyreceives raw material shipments, which must be used efficiently to maximize profitability. Currently, inventory consists of6,000 pounds of clay, 3,500 pounds of silica, 5,000 pounds of sand, and 8,500 pounds of feldspar. At most 8,000 squarefeet of grade III tiles should be produced and at least 2,000 square feet of grade I tiles are required. Each square foot oftile weighs approximately 2 pounds. Develop and solve a linear optimization model to determine how many of eachgrade of tile the company should make next week to maximize profit contribution.Click here to view the tile data.Complete the table below to indicate the number of square feet of each tile to produce to optimize the profit, and thengive the total profit earned.(Type integers or decimals, Do not round.)Grade ISquare Feet to ProduceTotal Profit=$Grade IIOGrade Ill

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Answered: A company makes ceramic and porcelain…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The cost of operating a bus involves the cost of gasoline , the driver's wage and other maintenance cost. Assume that the cost of Gasoline is $ 1.25 per litre , the driver earns $ 45 per hour , and maintenance cost is $ 0.18 per kilometre. If the fuel efficiency of the bus traveling at 80 Kilometres per hour is 9.6 litre per 100 kilometres, determine the cost of operating the bus (in Dollars) over a distance of 400 Kilometres. Enter your answer without units. Enter an integer or a fully reduced fraction such as 104 , 216 , 2056/7. etc. No spaces please
A manufacturer of skis produces two types: downhill and cross-country. The times required for manufacturing and finishing each ski are given in the table. The maximum total weekly hours available for manufacturing and finishing the skis are 108 hours and 20 hours, respectively. The profits per ski are $40 for downhill and $90 for cross-country. Determine how many of each kind of ski should be produced to achieve a maximum profit. Manufacturing time per ski Finishing time per ski Downhill 3 hours 0.5 hour Cross-country 2.5 hours 0.5 hour To achieve maximum profit, the manufacturer should produce downhill skis and cross-country skis. C
Espresso Express operates a number of espresso coffee stands in busy suburban malls. The fixed weekly expense of a coffee stand is $1,400 and the variable cost per cup of coffee served is $0.61. Required: 1. Fill in the following table with your estimates of the company's total cost and average cost per cup of coffee at the indicated levels of activity. 2. Does the average cost per cup of coffee served increase, decrease, or remain the same as the number of cups of coffee served in a week increases?
i need the answer quickly
need comprehensive and correct answers.This question is about optimization.
Protective Research, Inc. received an order to produce a specially designed fence for preventing automobile accidents on the highways. The fence is manufactured in two sections, each requiring no more than 9 units of material A and no more than 6 units of material B. While each unit of material A weighs 4 kgs and B weighs 6 kgs, the final product must weigh exactly 48 kgs. Management figures profit in terms of input units, $240 per unit from material A and $160 from material B. What is the profitable mix.
Example 3. Food I contains 10 units of vitamin A and 12 unit of vitamin R gram and cost 20 paise per gram. Food II contains 7 unit of vitamin A and 15 unis of vitamin B and costs 18 paise per gram. The daily requirement of vitamin A and R are atleast 80 units and 90 units respectively. Formulate the above as an LPP to per minimise the cost. CS Scanned with CamScanner
A company makes three components for sale. The components are processed on two machines: a shaper and a grinder. The time required. (in minutes) on each machine are as follows: Component Shaper Time Grinder Time A 6 4 B 4 5 C 4 2 The shaper is available for 7200 min. and grinder for 6600 min. No more than 200 units of component C can be sold, but up to 1000 units of each of the other components can be sold. In fact the company has orders for 600 units of component A that must be satisfied. The profit contributions for components A, B and C are $8, $6 and $9 respectively. Formulate the problem for deciding the production quantities. Solve the problem using Excel Solver. Run the sensitivity analysis report in Excel Solver. What are the objective coefficient ranges (Range of Optimality) for each coefficient. Interpret these. What are the dual prices for each constraint? Interpret these. What are the right-hand side ranges (Range of Feasibility)? Interpret them. If more time is…
A florist provides fresh flowers to shops in Wollongong. At present she has one nursery in Goulburn with capacity 9000 units a year. The florist is considering opening shops in Canberra and Sydney, and has found three potential nursery sites at Wagga, Orange and Bathurst. The transportation tableau below summarises the projected nursery capacities (units), the cost per unit of shipping from each nursery to each destination (dollars), and the demand (units) for the coming year. j=1 j=2 j=3 Sydney Capacities Wollongong Canberral 5 i=1 Goulburn 12 9000 i=2 Wagga 7 10 4000 i=3 Orange 4 7000 i=4 Bathurst 11000 Demand 11000 5000 8000 There are further constraints on how the nurseries can be located: • If a nursery is located in Wagga, another must be located in Bathurst and vice- versa. • One nursery can be located in Orange or Bathurst, but not both. Suppose that the costs of establishing new nurseries are Wagga $180,000 Orange $160,000 Bathurst $270,000 The goal is to develop a 0-1…
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Turnover is planned at 2.5 for the six-month peris starting February 1 through July 31. Average weekly sales for that period are $75,000. What average stock should be carried in this situation? $800,000 $900,000 O $720,000 $780,000

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