The selling price P of an item is 100- 0.02x dollars, where x is the number of items produced per day. If the cost C of producing and selling a items is 40x+15, 000 dollars per day, how many items should be produced and sold every day in order to maximize the profit?

| + 3. (5.7.12) On June 2, 2010 USA Today reported a story from Bloomberg News that said that the total price tag for the project to build the new F-35 Joint Strike Fighter would be 65% higher than the original $232 billion estimate. The cost now is estimated to be $382 billion. The total cost of each plane would be $112.4 million, up 81% from the original $62 million. The cost to produce each plane would be $92.4 million, about 85% higher than the original estimate of $50 million. a. Check the arithmetic to see that the three percentage increases reported are correct. b. Can you explain how the project cost can have increased by just 65% when the overall total per plane increased by 81% and the construction cost alone increased by almost 85%? 4. (5.7.3) Check that your own GPA from last semester has been computed correctly using the rules in effect at YSU. If you are in your first semester and don't yet have a GPA, imagine the grades you expect at the end of this semester and figure…

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The Hydro water department has a monthly service charge of $15 10 and a volume charge of $2 25 for every 100 cubic foet of water. The total monthly cost is equal to the service charge plus the charge for the volume used duning the month. If we let x represent the number of cubic feet of water (in hundreds) and y represent the total monthly cost, then we have total monthly cost volume charge service charge y-2.25x+ 16.1o If the Johnson family used 200 ess water this month than last month, then they can expect OA an increase in their water bil of $30.20 OB. a decrease in their water bil of S4.50 C. a decrease in their water bll of $30.20 OD an increase in their water bil of $4.50

The amount of money in a fund F (in millions of dollars) can be approximated by the equation F=.634x2-5.17x+23.8, where x=5 corresponds to the year 2005. What year produced $72 million?

The total weekly sales for a newly released portable media player (PMP) increased each week. At the same time, the total weekly sales for another newly released PMP decreased each week. Models that approximate the total weekly sales S (in thousands of units) for each PMP are = 10x + 70 S = = -10x + 210 where x represents the number of weeks each PMP was in stores, with x = 0 corresponding to the PMP sales on the day each PMP was first released in stores. After how many weeks will the sales for the two PMPs be equal? 11 weeks 5 weeks 3 weeks 9 weeks PMP 1 PMP2 7 weeks