Example 12.6. A company manufactures two types of cloth, using three different coloursof wool. One yard length of type A cloth requires 4 oz of red wool, 5 oz of green wool and 3 ozof yellow wool. One yard length of type B cloth requires 5 oz of red wool, 2 oz of green wool and8 oz of yellow wool. The wool available for manufacture is 1000 oz of red wool, 1000 oz ofgreen wool and 1200 oz of yellow wool. The manufacturer can make a profit of Rs. 5 on oneyard of type A cloth and Rs. 3 on one yard of type B cloth. Find the best combination of thequantities of type A and type B cloth which gives him maximum profit by solving the L.P.P.graphically.

We have to find the best combination of the quantities of type A and type B cloth which gives the…

Answered: Example 12.6. A company manufactures…

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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A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying capacity of 468,000 gallons. Tank cars with three different carrying capacities are available: 6,000 gallons, 12,000 gallons, and 24,000 gallons. How many of each type of tank car should be leased? C Let x, be the number of cars with a 6,000 gallon capacity, x₂ be the number of cars with a 12,000 gallon capacity, and x3 be the number of cars with a 24,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice. O A. The unique solution is x₁ = x₂ = and x3 = (Simplify your answers.) t+( OB. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x₁ = (Simplify your answers. Type integers or simplified fractions.) O C. There is no solution. x₂ = t+( ), and x3 = t for sts Activate Windows
1. There are 165 calories in three original Oreo cookies and 180 calories in two Triple Double version (3 wafers with 2 layers of filling in each cookie). Find the number of calories in one wafer and one layer of filling.
You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 30 g of carbohydrates, at least 20 g of protein, and no more than 60 g of fat. An egg contains 2 g of carbohydrates, 17 g of protein, and 14 g of f A serving of edamame contains 12 g of carbohydrates, 12 g of protein, and 6 g of fat. A serving of elbow macaroni contains 43 g of carbohydrates, 8 g of protein, and 1 g of fat. An egg costs $2, a serving of edamame costs $5, and a serving of elbow macaroni costs $3. Formulate a linear optimization model that could be used to determine the number of servings of egg, edamame, and elbow macaroni that should be in the meal in order to meet the nutrition requirements at the minimal cost. a) Define the decision variables. b) Write down the objective function. c) Write down the constraints.type solution pls
1) With a large power mower (John Deere 20 horse power, 42 inch cut) it takes Amos 3 hours to mow a particular lawn. Using a smaller mower (Toro 8 horse power, 32 inch cut) it takes Andy 6 hours to mow the same lawn. If Amos and Andy work together, using the two mowers, how long will it take to mow this lawn
STATE: Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice result in more infected ticks. The mouse population rises and falls with the abundance of acorns, their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched. The next spring, 54 of the 72 mice trapped in the first area were in breeding condition, versus 10 of the 17 mice trapped in the second area. Estimate the difference between the proportions of mice ready to breed in good acorn years and bad acorn years. (Use 90% confidence. Be sure to justify your choice of confidence interval.) PLAN: Let ?1 and ?2 be (respectively) the proportions of mice ready to breed in good acorn years and bad acorn years. Give a 90% confidence interval for ?1−?2. Can the large‑sample…
2. At the local zoo, Henry the Hungry Monkey requires a very specific blend of Cavendish bananas and plantains as part of his diet. Henry eats 80 pounds total of bananas and plantains per week. The bananas cost $3.12 per pound and the plantains cost $4.52 per pound. If the zoo receives a weekly bill of $312.60 for bananas and plantains, then how much of each does Henry consume per week?
2. You have some coins, each of which is a penny (1 cent), a nickel (5 cents), a dime (10 cents), or a quarter (25 cents). You know that • you have twice as many pennies as nickels, • the number of dimes is one more than the number of pennies and nickels combined, you have 34 coins in total, • and the total value of your coins is $2.70 (270 cents). (a) Set up a system of linear equations for the numbers of pennies, nickels, dimes, and quarters you have. (b) Determine how many coins of each type you have, by solving the system from part (a).
A regional photo lab produces two different photo packages. The number of photos of each type in each package and how many of each type is available is summarized in the following table. Wallet Size 5 x 7 8 x 10 Standard Package 11 1 Plus Package 14 7 Total Available 1694 1470 678 The corporate office requires the lab sell at least 26 standard packages and 8 plus packages a week. If the cost of producing one standard package is $14 and one plus package is $19, how many of each type of package must the photo lab sell each week in order to minimize their costs, but still meet corporate requirements? What is the minimum cost? The minimum cost is $ when standard packages and plus packages are sold.
A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…
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