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 mine10and V₂ =#2 produces ore that contains 20 metric tons of copper and 550 kilograms of silver. Let v₁20550Then v₁ and v₂ represent the "output per day" of mine #1 and590mine #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.O C. It is the output at mine #2 after 2 days of operation.OD. It is the output of silver at mine #1 after 2 days of operation.C...b. Suppose the company operates mine #1 for x₁ days and mine #2 for x₂ days. Write a vector equation in terms of v₁ and v₂ whose solution gives the number of days each mineshould operate in order to produce 72 tons of copper and 2610 kilograms of silver. Do not solve the equation.v₁+₂=(Type an integer or decimal for each matrix element.)

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Answered: A mining company has two mines. One…

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 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.
2.) You need to buy some filing cabinets. You know that Cabinet X costs $10 per unit, requires 6 square feet of floor space, and holds 8 cubic feet of files. Cabinet Y costs $20 per unit, requires 8 square feet of floor space, and holds 12 cubic feet of files. You have been given $140 for this purchase, though you don't have to spend that much. The office has room for no more than 72 square feet of cabinets. How many of each model should you buy in order to maximize storage volume? a) Formulate the problem, listing the decision variables, the objective function, and constraints (i.e., give the mathematical model).
. COST OF DRILLING A 100-ft oil well is to be drilled. The cost of drilling the first foot is $10.00, and the cost of drilling each additional foot is $4.50 more than that of the preceding foot. Find the cost of drilling the entire 100 ft.
There are three taps. Tap A fills 4 containers in 2/5 hours. Tap B fills eight containers in 1/2 hours. Tap C fills 2 containers in 1/4 hours. If all the taps are opened together, then a particular tank is filled in 2 hours. Can you tell us the capacity of that particular tank, if a container contains 5 litres of water. Options: O 340 litres 170 litres 300 litres 150 litres
A cyclist takes 4 hours to travel from Town A to Town B. The cyclist's average speed for the first hour is half the cyclist's average speed for the second hour, and the cyclist's average speed for the first two hours is equal to twice the cyclist's average speed for the last two hours. If the cyclist traveled at an average speed of 9 miles per hour for the 4-hour trip, what was the cyclist's average speed, in miles per hour, during the first hour of the trip? 16 0000
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.
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.
A landscaping company is hired to mow the grass for several large properties. The total area of the properties combined is 1,350 acres. The rate at which one person can mow is as follows: ŷ = 1350 − 1.5x where x is the number of hours and ŷ represents the number of acres left to mow. How many acres will be left to mow after 36 hours of work? (Enter an exact number as an integer, fraction, or decimal.)
Three planes depart from three different airpoits at 8:00 am, all traveling to Fort Lauderdale International Airport (FLL). The first plane is a small passenger plane that must travel 110 miles to reach FLL. The second plane is a large passenger plane that must travel 825 miles. The third plane is a cargo plane that must travel 640 miles. The small passenger plane travelled at an average speed of 200 millies per hour the cargo plane arrived a FLL at 9:15AM. How many minutes before the cargo plane arrived did the small passenger plane arrive?
A clock manufacturer's fixed costs per month are $8000. The unit cost for each clock is $15. Find the number of clocks made during a month in which the total cost was $38,000. Use the formula T = UN + F, where T is the total cost, U is the cost per unit, N is the number of units made, and F is the fixed costs.
A peanut company sells a mixture of two types of beans. The cheapest mixture contains 80% lean peanuts and 20% pithy beans, while the most expensive bean contains 50% of each type. Every week the company can earn 1,800 kg of lean peanuts and 1,200 pithy peanuts. How many kg of each mixture must be made to maximize profit if the profit is Rp. 100 for each cheap mixture and Rp. 150 from the expensive mixture?a. Formulate the problem?b. Finish with a graphic method?
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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