Stores x, y, and z each sell a certain item that has a given list price. stores x and y are located in a state with a 5 percent sales tax, and both sell the item at a 5 percent discount off list price, while store z is located in a state with no sales tax and gives no discounts. store x applies its discounts first and then charges sales tax on the discounted price, while store y adds the tax first and then applies the discount to the price with tax. if x and y are the prices, with tax and discount, charged by stores x and y, respectively, and z is the price charged by store z, which of the following statements correctly describes the relationship among x, y, and z? a. x=y=zb. x=y

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

Verizon communications, inc., provides the following footnote relating to its leasing activities in its 10-k report. the aggregate minimum rental commitments under noncancelable leases for the periods shown at december 31, 2010, are as follows: years (dollars in millions) capital leases operatingleases 2011 $97 $1,898 2012 74 1,720 2013 70 1,471 2014 54 1,255 2015 42 1,012 thereafter 81 5,277 total minimum 418 $ 12,633 rental commitments less interest and (86) executory costs present value of 332 minimum lease payments less current (75) installments long-term obligation $257 at december 31, 2010 (a) confirm that verizon capitalized its capital leases using a rate of 7.4 %. (b) compute the present value of verizon's operating leases, assuming an 7.4% discount rate and rounding the remaining lease term to 3 decimal places. (use a financial calculator or excel to compute. do not round until your final answers. round each answer to the nearest whole number.)

Suppose farmer lane grows and sells cotton in a perfectly competitive industry. the market price of cotton is $1.64 per kilogram, and his marginal cost of production is $1.44 per kilogram, which increases with output. assume farmer lane is currently earning a profit. can farmer lane do anything to increase his profit in the short run? farmer lane: a. cannot do anything to increase his profit. b. may or may not be able to increase his profit. c. can increase his profit by raising his price. d. can increase his profit by producing more output. e. can increase his profit by shutting down.