Mr. and mrs. garcia have a total of $100,000 to be invested in stocks, bonds, and a money market account. the stocks have a rate of return of 12%/year, while the bonds and the money market account pay 8%/year and 4%/year, respectively. the garcias have stipulated that the amount invested in stocks should be equal to the sum of the amount invested in bonds and 3 times the amount invested in the money market account. how should the garcias allocate their resources if they require an annual income of $10,000 from their investments? give two specific options. (let x1, y1, and z1 refer to one option for investing money in stocks, bonds, and the money market account respectively. let x2, y2, and z2 refer to a second option for investing money in stocks, bonds, and the money market account respectively.)

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Select the word from the list that best fits the definition sometimes

For each separate case below, follow the 3-step process for adjusting the prepaid asset account at december 31. step 1: determine what the current account balance equals. step 2: determine what the current account balance should equal. step 3: record the december 31 adjusting entry to get from step 1 to step 2. assume no other adjusting entries are made during the year. a. prepaid insurance. the prepaid insurance account has a $4,700 debit balance to start the year. a re- view of insurance policies and payments shows that $900 of unexpired insurance remains at year-end. b. prepaid insurance. the prepaid insurance account has a $5,890 debit balance at the start of the year. a review of insurance policies and payments shows $1,040 of insurance has expired by year-end. c.prepaidrent.onseptember1ofthecurrentyear,thecompanyprepaid$24,000 for 2 years of rentfor facilities being occupied that day. the company debited prepaid rent and credited cash for $24,000.