What amount must he invest today if his investment earns 8% compounded annually? What amount must he invest if his investment earns 8% annual interest compounded quarterly? (Round factor values to 5 decimal places, e. g. 1.25124 and final answers to 0 decimal places, e. g. 458,581.)

What does the consumer price index measure? a. the change in prices of all goods and services over time b. the change in prices of specific goods and services over time c. the change in prices of final goods and services over time

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

Advanced enterprises reports year-end information from 2018 as follows: sales (160,250 units) $968,000 cost of goods sold 641,000 gross margin 327,000 operating expenses 263,000 operating income $64,000 advanced is developing the 2019 budget. in 2019 the company would like to increase selling prices by 14.5%, and as a result expects a decrease in sales volume of 9%. all other operating expenses are expected to remain constant. assume that cost of goods sold is a variable cost and that operating expenses are a fixed cost. should advanced increase the selling price in 2019?