The frequency distribution below summarizes the home sale prices in the city of summerhill for the month of june. determine the width of each class. round to the nearest whole number as needed. a frequency distribution has two columns labeled from left to right "sale price (in thousands of dollars)" and "frequency". the entry pairs in each row are given as follows, where the sale price is listed first and the frequency is listed second: 80.0 to 110.9, 2; 111.0 to 141.9, 5; 142.0 to 172.9, 7; 173.0 to 203.9, 10; 204.0 to 234.9, 3; 235.0 to 265.9, 1.

In 2007, americans smoked 19.2 billion packs of cigarettes. they paid an average retail price of $4.50 per pack. a. given that the elasticity of supply is 0.50.5 and the elasticity of demand is negative 0.4−0.4, derive linear demand and supply curves for cigarettes. the demand equation is qdequals=nothingplus+nothing times ×p and the supply equation is qsequals=nothingplus+nothing times ×p.

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

Budget in this final week, you will develop a proposed budget of $150,000 for the first year of the program and complete the final concept paper for the proposed program due for senior management review. the budget should identify the program's anticipated expenses for the year ahead. budget line items should be consistent with the proposed program and staffing plan. using the readings for the week, the south university online library, and the internet, complete the following tasks: create a proposed budget of $150,000 for the first year of the proposed program including the cost for personnel, supplies, education materials, marketing costs, and so on in a microsoft excel spreadsheet. you may transfer your budget to your report. justify the cost for each item of the proposed budget in a budget narrative.