At December 31, 20X0, Ashe Co. had a $990,000 balance in its advertising expense account before any year-end adjustments relating to the following: Radio advertising spots broadcast during December 20X0 were billed to Ashe on January 4, 20X1. The invoice cost of $50,000 was paid on January 15, 20X1. Included in the $990,000 is $60,000 for newspaper advertising for a January 20X1 sales promotional campaign. Ashe's advertising expense for the year ended December 31, 20X0, should be:

Suppose an economy consists of three sectors: energy (e), manufacturing (m), and agriculture (a). sector e sells 70% of its output to m and 30% to a. sector m sells 30% of its output to e, 50% to a, and retains the rest. sector a sells 15% of its output to e, 30% to m, and retains the rest.

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

Which of the following would not generally be a motive for a firm to hold inventories? a. to decouple or separate parts of the production process b. to provide a stock of goods that will provide a selection for customers c. to take advantage of quantity discounts d. to minimize holding costs e. all of the above are functions of inventory.