Eastline corporation had 10,000 shares of $10 par value common stock outstanding when the board of directors declared a stock dividend of 3,000 shares. at the time of the stock dividend, the market value per share was $12. the entry to record this dividend is:

a. debit retained earnings $36,000; credit common stock dividend distributable $36,000.
b. debit retained earnings $36,000; credit common stock dividend distributable $30,000; credit paid-in capital in excess of par value, common stock $6,000.
c. debit common stock dividend distributable $36,000; credit retained earnings $36,000.
d. debit retained earnings $30,000; credit common stock dividend distributable $30,000.
e. no entry is needed.

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

Xie company identified the following activities, costs, and activity drivers for 2017. the company manufactures two types of go-karts: deluxe and basic. activity expected costs expected activity handling materials $ 625,000 100,000 parts inspecting product 900,000 1,500 batches processing purchase orders 105,000 700 orders paying suppliers 175,000 500 invoices insuring the factory 300,000 40,000 square feet designing packaging 75,000 2 models required: 1. compute a single plantwide overhead rate, assuming that the company assigns overhead based on 125,000 budgeted direct labor hours. 2. in january 2017, the deluxe model required 2,500 direct labor hours and the basic model required 6,000 direct labor hours. assign overhead costs to each model using the single plantwide overhead rate.

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.