Manufacturing quality. in an effort to check the quality of their cell phones, a manufacturing manager decides to take a random sample of 10 cell phones from yesterday's production run, which produced cell phones with serial numbers ranging (according to when they were produced) from 43005000 to 43005999. if each of the 1000 phones is equally likely to be selected:

Intronix uses copy editors, computer graphics specialists, and java programmers to produce ads for magazines and the internet. the average new ad for magazines typically requires 180 hours of a copy editor's time and 135 hours of a computer graphics specialist's time, whereas ads produced for the internet require 35 hours of copy editor time, 195 hours of computer graphics time, and 60 hours of a java programmer's time. lassie food, a dog food manufacturer, has hired intronix to produce ads in the next four week. although currently it considers magazine ads 3 times more valuable than internet ads, it still wishes to have at least 2 of each produced within the next four weeks. intronix has assigned up to 3 copy editors, 4 computer graphics specialists, and 1 java programmer, each committed to work up to 70 hours per week on the project. how many of each type of ad should be produced to maximize the overall value to lassie foods

Suppose that jim plans to borrow money for an education at texas a& m university. jim will need to borrow $25,000 at the end of each year for the next five years (total=$125,000). jim wishes his parents could pay for his education but they can’t. at least, he qualifies for government loans with a reduced interest rate while he is in school. he has a special arrangement with aggiebank to lend him the money at a subsidized rate of 1% over five years without having to make a payment until the end of the fifth year. however, at the end of the fifth year, jim agrees to pay off the loan by borrowing from longhorn bank. longhorn bank will lend him the money he needs at an annual interest rate of 6%. jim agrees to pay back the longhorn bank with 20 annual payments and the payments will be uniform (equal annual payments including principal and interest). (i) calculate how much money jim has to borrow at the end of 5 years to pay off the loan with aggiebank. a. $121,336 b. $127,525 c. $125,000 d. $102,020 e. none of the above

Suppose an economy has only two sectors: goods and services. each year, goods sells 80% of its outputs to services and keeps the rest, while services sells 62% of its output to goods and retains the rest. find equilibrium prices for the annual outputs of the goods and services sectors that make each sector's income match its expenditures.