5. Solve the following simultanec
3x + 4y + z = 5
2x + 3y - 4x = -3
4x + 4y + 2z = 6​

Richardson hired j.c. flood company, a plumbing contractor, to correct a stoppage in the sewer line of her house. the plumbing company's 'snake' device, used to clear the line leading to the main sewer, became caught in the underground line. to release it, the company excavated a portion of the sewer line in richardson's backyard. in the process, the company discovered numerous leaks in a rusty, defective water pipe that ran parallel with the sewer line. to meet public regulations, the water pipe, of a type no longer approved for such service, had to be replaced either then or later, when the yard would have to be excavated again. the plumbing company proceeded to repair the water pipe. though richardson inspected the company's work daily and did not express any objection to the extra work involved in replacing the water pipe, she refused to pay any part of the total bill after the company completed the entire operation. j.c. flood company then sued richardson for the costs of labor and material it had furnished. (c) for what, if anything, should richardson be liable? explain."

Laval produces lamps and home lighting fixtures. its most popular product is a brushed aluminum desk lamp. this lamp is made from components shaped in the fabricating department and assembled in the assembly department. information related to the 22,000 desk lamps produced annually follows.direct materials $280,000direct labor fabricating department (8,000 dlh × $24 per dlh) $192,000assembly department (16,600 dlh × $26 per dlh) $431,600machine hours fabricating department $15,200mhassembly department $20,850mhexpected overhead cost and related data for the two production departments follow.fabricating assemblydirect labor hours 150,000dlh 295,000dlhmachine hours 161,000mh 128,000mhoverhead cost $400,000 430,000required1. determine the plantwide overhead rate for laval using direct labor hours as a base.2. determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate.3. compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department.4. use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps.

Nell and kirby are in the process of negotiating their divorce agreement. what should be the tax consequences to nell and kirby if the following, considered individually, became part of the agreement? a. in consideration for her one-half interest in their personal residence, kirby will transfer to nell stock with a value of $200,000 and $50,000 of cash. kirby's cost of the stock was $150,000, and the value of the personal residence is $500,000. they purchased the residence three years ago for $300,000.nell's basis for the stock is $ xkirby's basis in the house is $ xb. nell will receive $1,000 per month for 120 months. if she dies before receiving all 120 payments, the remaining payments will be made to her estate.the payments (qualify, do not qualify) as alimony and are (included in, excluded from) nell's gross income as they are received.c. nell is to have custody of their 12-year-old son, bobby. she is to receive $1,200 per month until bobby (1) dies or (2) attains age 21 (whichever occurs first). after either of these events occurs, nell will receive only $300 per month for the remainder of her life.$ x per month is alimony that is (included in, excluded from) nell's gross income, and the remaining $ x per month is considered (child support, property settlement) and is (nontaxable, taxable) to nell.