A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying capacity of 420,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type of tank carshould be leased?Let x, be the number of cars with a 7,000 gallon capacity, x₂ be the number of cars with a 14,000 gallon capacity, and x3 be the number of cars with a 28,000 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.)O B. 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.t+(x₂ =t+and x3 = t forsts

From the given conditions, the following linear system of equations can be obtained: There are a…

Answered: A chemical manufacturer wants to lease…

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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At inventory time, 435 pounds of magnet wire for winding motors is available. In ten successive days, 15 pounds, 6 pounds, 24 pounds, 12 pounds, 3 pounds, 8 pounds, 17 pounds, 32 pounds, 16 pounds, and 13 pounds of wire are taken out of stock. How many pounds are left?
A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric tons of copper and 590 kilograms of silver, while one day's operation at mine #2 produces ore that contains 20 metric tons of 10 20 copper and 550 kilograms of silver. Let v₁ = and V₂ = - . Then v₁ and v₂ represent the "output per day" 590 550 of mine #1 and mine #2, respectively. Complete parts (a) through (c) below. a. What physical interpretation can be given to the vector 2v₁ ? O A. It is the output of copper at mine #1 after 2 days of operation. B. It is the output at mine #1 after 2 days of operation. OC. It is the output at mine #2 after 2 days of operation. O D. It is the output of silver at mine #1 after 2 days of operation.
Bakery Products. TheMill Avenue Bakery packages its products in three sizes: one-half-pound, one-pound, and two-pound packages. In determining the total weight of the bakery’s products loaded on a delivery truck, let x1 denote the number of one-half-pound packages, x2 the number of one-pound packages, x3 the number of two-pound packages. Let y denote the total weight of bakery packages on the truck. a. Obtain the equation that expresses y in terms of x1, x2 and x3. b. Find b0, b1,b2 and b3. c. What is the change in the total weight for an increase of one two-pound package, provided the number of one-half- and one-pound packages does not change? d. Find the total weight of the bakery’s product on the delivery truck if there are 100 one-half-pound packages, 200 one-pound packages, and 30 two-pound packages.
In a town, there are 4/5 as many adults as children, 3/4 as many boys as girls, and an equal number of adult men and adult women. If there are 3 fewer adult women than boys, find out the number of girls in the town.
A cable will be installed from a farmhouse to a series of telephone poles. Part of the cable will be installed underground, D, with a cost of $260 per foot and part will be installed atop the telephone poles, L, with a cost of $30 per foot. Note: The total cost = the cost of installing along length L + the cost of installing along the length D. M₁ If M₁ - X D L ‡ ‡ ‡ ‡ ‡ ‡ ‡ ‡ M₂ 400 feet and M₂ = 900 feet, determine the value of x that gives the minimum cost.
18. If the number of healthy fish f varies as the amount a of food available, how many fish would be present when 6 Ibs. of food are available? (Assume that 120 fish corresponds to 8 Ibs. of food.)
The table on the right shows the calories, sodium, and protein in one cup of various kinds of soup, How many cups of each kind of soup should be mixed together to produce 10 servings of soup, each of which provides 186 calories, 954 milligrams of sodium, and 13.2 grams of protein? What is the serving size (in cups)? Calories Sodium (mg) Protein (g) Chicken NoodleChicken & RiceChicken Rotini 100 130 520 730 7 9 110 530 8 To produce 10 servings of soup, each of which provides 186 calories, 954 milligrams of sodium, and 13.2 grams of protein, mix cups of Chicken Noodle, cups of Chicken & Rice, and cups of Chicken Rotini.
Nicole started a new diet that requires each meal to have 340 calories, 6 grams of fiber, and 6 g of fat. The table shows the fiber, fat, and calorie content of one serving of each of three breakfast foods. How many servings of each food should Nicole eat to follow her diet? toast serving(s) cottage cheese serving(s) fruit serving(s) Food Fiber (g) Fat (g) Calories Toast 2 1 100 Cottage cheese 0 5 120 Fruit 2 0 60
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…
Mr. and Mrs. Wagner are getting ready to drive across the US from Philadelphia, PA to Los Angeles, CA over five (5) days. The TOTAL distance is approximately 3,000 miles. The average price of gasoline is $4.10 per gallon. They plan to stay in a hotel four (4) nights. They are budgeting $50 per day per person to cover the cost of three (3) meals per day each. If their van averages 25 mpg, estimate how many gallons of gasoline are needed for the trip. Select the correct answer below.

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