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 carshould be leased?CLet 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 forstsActivate Windows

A chemical manufacturer wants to lease a fleet of 24 railroad tank cars. x1+x2+x3=24 Let x1 be the…

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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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
A plant food is made from three chemicals, labeled I, II, and III. In each batch of the plant food, the amounts of chemicals II and III must be in the ratio of 5to 3. The amount of nitrogen must be at least 39 kg. The percent of nitrogen in the three chemicals is 8%,4%,and 5%,respectively. If the three chemicals cost $1.02 $0.86 and $0.66 per kilogram, respectively, how much of each should be used to minimize the cost of producing at least 600 kg of the plant food?
Laura is planning to buy three 5-lb bags of sugar, six 5-lb bags of flour, three 1-gal cartons of milk, and six 1-dozen cartons of large eggs. The prices of these items in three neighborhood supermarkets are as follows. A = Sugar (5-lb bag) $3.15 $2.99 $3.74 B = Flour (5-lb bag) $3.79 $2.89 $2.98 Supermarket I Supermarket II Supermarket III (a) Write a 3 x 4 matrix A to represent the prices (in dollars) of the items in the three supermarkets. Milk (1-gal carton) $2.99 $2.79 $2.89 C = Eggs (1-dozen carton) $3.49 $3.29 $2.99 (b) Write a 4 x 1 matrix B to represent the quantities of sugar, flour, milk, and eggs that Laura plans to purchase in the three supermarkets. (c) Use matrix multiplication to find a matrix C that represents Laura's total outlay (in dollars) at each supermarket.
An online retailer requires three different size containers to package its products for shipment. The costs of these containers A, B, and C, and their capacities are shown as follows: Container A B C Cost ($ each) 4 6 7 Capacity (cu in) 200 400 600 If the retailer orders 2500 containers with a total capacity of 1,100,000 cu in at a cost of $15,000, how many of each are in the order?
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 car should 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 for sts
During a typical school day, Sally recorded eating the following:For breakfast:½ cup of cooked porridge (made with 200mls of full fat cows milk)2 tablespoons of maple syrup on his porridge250mls of apple drinkSally’s lunch tray consisted of:150g high fat yoghurt Can of Sprite (330mls)Two servings of hotdogs1 apple (which she gives away)½ cup mixed vegetablesBarbecue sauceOn the way home from school Sally drank the following:Gatorade sports drink (500mls)For dinner Sally ate the following:One fillet of fish – battered and deep friedDeep fried fries (equivalent to one medium sized potato)One jam donutChocolate flavoured milk (full fat milk – 250mls)Snack before bed:Ham sandwich (2 slices of white bread and 1 slices of cheese) Q1: How many servings of fruit and vegetables did Sally eat? How many servings of milk and milk products did Sally eat?

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