Business, 22.01.2020 21:31 Chrien222

The following exercises reveal structural properties of the set of solutions to a system of linear equations. the problems are set in r3, but the results extend to any r" (a) (i) suppose p = (1,3,4) and q = (5,8, 12) are two points in r3. show that the line joining p and q consists of all points of the form lq+ (1 - p as varies over all real numbers. (hint: think of the line as anchored p and going in directions (q-p) and -(q-p.) general statement: the line joining two points p and q in rn consists of all points of the form lq + (1 - \p as varies over all real numbers. (ii) suppose p = (1,3,4) and q=(5,8, 12) are solutions to the linear system of equations: 0 + 212.22 + 213.43 = 21 02111 + 022.2 2 + 23.13 = 2 03121 + 232.22 + 233.3 = 3 04141 +242.12 +243.13 = 24 check that all points on the line joining p and q are also solutions to the above system of equations. general statement: if a system of linear equations in n variables has two solutions, then all points on the line joining the two solutions are also solutions to the system. therefore, if a system of linear equations has at least two solutions, it has infinitely many solutions. (b) suppose p = (1, 3, 4) is a solution to the system of homogeneous equations: 0 + 212.22 + 213.23 = 0 021.11 + 0 +223.23 = 0 03121 + 232.22 + 233.13 = 0 04141 +242.22 +243.23 = 0 check that any multiple of p, i. e., a vector of the form (1,3,4) where is any real number, is also a solution of the system. is this an application of the previous question? general statement: if a homogeneous system of equations has a non-zero solution then it has infinitely many solutions

Answers: 1

Show answers

Another question on Business

Business, 21.06.2019 20:30

Which organization was established to train the hard-core unemployed? - better business bureau- equal employment opportunity commission- environmental protection agency- affirmative action committee- national alliance of business

Answers: 1

Answer

Business, 21.06.2019 21:30

Problem 2-18 job-order costing for a service company [lo2-1, lo2-2, lo2-3]speedy auto repairs uses a job-order costing system. the company's direct materials consist of replacement parts installed in customer vehicles, and its direct labor consists of the mechanics' hourly wages. speedy's overhead costs include various items, such as the shop manager's salary, depreciation of equipment, utilities, insurance, and magazine subscriptions and refreshments for the waiting room. the company applies all of its overhead costs to jobs based on direct labor-hours. at the beginning of the year, it made the following estimates: direct labor-hours required to support estimated output 10,000fixed overhead cost $ 90,000variable overhead cost per direct labor-hour $ 1.00 required: 1. compute the predetermined overhead rate.2. during the year, mr. wilkes brought in his vehicle to replace his brakes, spark plugs, and tires. the following information was available with respect to his job: direct materials $ 600direct labor cost $ 180direct labor-hours used 2 compute mr. wilkes' total job cost. 3. if speedy establishes its selling prices using a markup percentage of 30% of its total job cost, then how much would it have charged mr. wilkes?

Answers: 1

Answer

Business, 22.06.2019 02:30

Acompany using the perpetual inventory system purchased inventory worth $540,000 on account with credit terms of 2/15, n/45. defective inventory of $40,000 was returned 2 days later, and the accounts were appropriately adjusted. if the company paid the invoice 20 days later, the journal entry to record the payment would be

Answers: 1

Answer

Business, 22.06.2019 07:40

Shelby company produces three products: product x, product y, and product z. data concerning the three products follow (per unit): product x product y product z selling price $ 85 $ 65 $ 75 variable expenses: direct materials 25.50 19.50 5.25 labor and overhead 25.50 29.25 47.25 total variable expenses 51.00 48.75 52.50 contribution margin $ 34.00 $ 16.25 $ 22.50 contribution margin ratio 40 % 25 % 30 % demand for the company’s products is very strong, with far more orders each month than the company can produce with the available raw materials. the same material is used in each product. the material costs $8 per pound, with a maximum of 4,400 pounds available each month. required: a. compute contribution margin per pound of materials used. (round your intermediate calculations and final answers to 2 decimal places.) contribution margin per pound product x $ product y $ product z $ b. which orders would you advise the company to accept first, those for product x, for product y, or for product z? which orders second? third? product x product y product z

Answers: 3

Answer

You know the right answer?

The following exercises reveal structural properties of the set of solutions to a system of linear e...

Questions