One of the biggest issues facing e-retailers is the ability to turn browsers into buyers. this is measured by the conversion rate, the percentage of browsers who buy something in their visit to a site. the conversion rate for a company's website was 10.1%. the website at the company was redesigned in an attempt to increase its conversion rates. a sample of 200 browsers at the redesigned site was selected. suppose that 24 browsers made a purchase. the company officials would like to know if there is evidence of an increase in conversion rate at the 5% level of significance. the company officials can conclude that there is sufficient evidence that the conversion rate at the company's website has increased using a level of significance of 0.05

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