A contractor is planning a job that will require a large amount of gravel and sand. Theestimates for the necessary gravel and sand are:Coarse gravelFine gravelSand20,000 yd³29,000 yd³20,000 yd³There are two pits from which material can be obtained, and the plan is to haulfrom these two pits and to separate (screen) on the job whatever material is needed.Analysis shows that the material at each pit has the following composition:Pit APit BCoarse gravelFine gravelSandWaste20%14%25%41%30%50%20%0%It costs $8/yd³ for material and hauling from pit A and $16/yd³ from pit B. Setthis up as a linear programming problem to minimize delivered cost.Formulate and Solve with graphical solution method AND with Excel (ProvideModel, Answer and Sensitivity Report)

Answered: Image /qna-images/answer/8b47f428-7f1e-40d9-a420-305b38c138db.jpg

Answered: A contractor is planning a job that…

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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Koontz Company manufactures a number of products. The standards relating to one of these products are shown below, along with actual cost data for May. Standard Cost per Unit Actual Cost per Unit Direct materials: Standard: 1.80 feet at $2.00 per foot Actual: 1.75 feet at $2.20 per foot Direct labor: Standard: 0.90 hours at $20.00 per hour Actual: 0.95 hours at $19.40 per hour Variable overhead: Standard: 0.90 hours at $6.40 per hour Actual: 0.95 hours at $6.00 per hour $ 3.60 $ 3.85 18.00 18.43 5.76 5.70 Total cost per unit $27.36 $27.98 Excess of actual cost over standard cost per unit $0.62 The production superintendent was pleased when he saw this report and commented: “This $0.62 excess cost is well within the 5 percent limit management has set for acceptable variances. It's obvious that there's not much to worry about with this product." Actual production for the month was 12,500 units. Variable overhead cost is assigned to products on the basis of direct labor-hours. There were…
STATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 44 inches long and 1.51.5 inches square? Given are data from students doing a laboratory exercise. 33,19033,190 31,86031,860 32,59032,590 26,52026,520 33,28033,280 32,32032,320 33,02033,020 32,03032,030 30,46030,460 32,70032,700 23,04023,040 30,93030,930 32,72032,720 33,65033,650 32,34032,340 24,05024,050 30,17030,170 31,30031,300 28,73028,730 31,92031,920 We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that the characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution with a standard deviation of 3000 pounds. PLAN: We will estimate μ by giving a 99%99% confidence interval. SOLVE: Find the sample mean ?¯. (Enter your answer rounded to the nearest whole number.) ?¯= Give a 99%confidence interval,…
5. Josh is planning to paint the walls and ceilings in several rooms of his home. The walls have a combined area of 1840 ft². The ceilings have a combined area of 920 ft². The walls will require 2 coats of paint, and the ceilings will take a single coat of paint. Each gallon of paint covers about 240 ft². How many gallons of paint are needed for the walls? How many gallons of paint are needed for the ceilings? Round up to the nearest whole gallon if necessary.
1. A fabricator is hired to make a 27-foot-long solid metal railing for the stairs at the local library. The railing is modeled by the diagram below. The railing is 2.5 inches high and 2.5 inches wide and is comprised of a rectangular prism and a half-cylinder. How much metal, to the nearest cubic inch, will the railing contain? 2.5 in 27 ft 2.5 in CONTEMPLATE CALCULATE
A rectangular prism is 42,7 cm long, 17,3 cm wide and 36,9 cm high. Calculate: 5.1 the area of the base 5.2 the volume of the prism. 6. Calculate the volume of a box with the following measurements: breadth 32,9 cm, length 45,6 cm and height 21,4 cm. 7. Calculate the length of a rectangular prism with breadth 6,4 m, height 4,7 m and volume 279,74 m3. lon ath 29 4 cm 5.
A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and folding up the sides. Let x represent the length of the side of the square cutout (in inches), let w represent the width of the base of the box (in inches), let l represent the length of the base of the box (in inches), let h represent the height of the box (in inches), and let V represent the volume of the box (in cubic inches). Complete the table of values below. If an entry cannot be completed, enter "DNE". h V 7 9 0.5 DNE 0.5 5 3.5 3.5
Many factors go into assessing the value of a house for tax purposes. Once the proper category has been determined, the assessment rate is per square foot or square meter. Compute the value of the one-floor dwelling described below if the assessment rate is $389 per square meter based on the footprint (the base) of the house. a. What is the tax assessment on an L-shaped house consisting of two parts with rectangular bases: 12.7 meters by 15 meters and 12 meters by 13.5 meters? Round the answer to dollars and cents. Tax assessment is S b. How much tax must be paid on this L-shaped house if the tax rate is $73 on every $1,000 of assessed value? Round the answer to dollars and cents. Tax to be paid is $
STATE: How heavy a load (in pounds) is needed to pull apart pieces of Douglas fir 44 inches long and 1.51.5 inches square? Given are data from students doing a laboratory exercise. 33,190 31,860 32,590 26,520 33,280 32,320 33,020 32,030 30,460 32,700 23,040 30,930 32,720 33,650 32,340 24,050 30,170 31,300 28,730 31,920 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3000 pounds. PLAN: We will estimate ?μ by giving a 98% confidence interval. SOLVE: Find the sample mean ?¯ . (Enter your answer rounded to the nearest whole number.) ?¯= Give a 98% confidence…
Find the total cost of the following shipment of materials: 23 floor boxes listed at $4.00 each, less 15% ; 150 half-inch conduits listed at $0.60 each, less 20% ; 125 convenience outlets listed at $0.79 each, less 10% ; 83 single-pole flush switches listed at $0.45 each, less 30%.
3. You are building a go-cart for the National Go-cart Championship Race. Knowing that heavier go-carts travel faster but consume more gas, you need to figure out the optimal go- cart weight. This graph shows the relationship between the weights of last year's go-carts and the amount of gas they used. Use the graph to answer questions a-d. Gas Consumption Depending on Car Weight 400 350 300 E250- 200 150 100 50 40 60 80 100 120 140 160 Car weight (kg) Gas used (ml) 20 OHayden-McNeil, LLC
a. Suppose we had a triangular prism that was 14 cm long with atriangular base of 1 cm and a height of 0.8 cm. Whatwould the volume of that prism be, and do youbelieve that it actually is a better estimate? b. Suppose that we had a marker that was twice as thick and twice as tall, but the same length. Approximately how many of the cubes would we need to make a good estimate of its volume? Explain/show how you know this.

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