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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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.
Alexander has set up a lemonade stand outside his house and sells small сups and large cups. Each small cup holds 10 ounces of lemonade and each large cup hold 20 ounces of lemonade. How many ounces of lemonade would be needed to make 20 and 30 large cups of lemonade? How many ounces of lemonade would be small cups needed to makes small cups and l large cups of lemonade? 20 small cups and 30 large cups: 800 DELL @ # $ % & 2 4 8. e y u a f C V
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
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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