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1) Create a realistic business scenario. Give a brief description of the business and product sold and describe how many units were sold at 2 price points (say regular price or sale price, etc.)
2) Find demand equation based on 2 given price points and amounts sold.
Hint: you can form a linear equation based on 2 points of the form (x, p) or (p, x) where p - selling price of the product and x - number of items sold. Make sure to use appropriate notation (equation should either be in terms of p or x)
3) Find Revenue equation based on demand above.
4) Find either optimal price or number of items sold (based on your set-up) that gives maximum revenue using calculus (make sure to test critical value you find using 1st or 2nd derivative test). What is the maximum revenue?
5) What is the optimal price or number of items sold (find the other variable)? Is the result realistic? Why or why not?
Calculate, report and draw conclusions: In a recent election, 45% of the voters were Republican, and the rest were not. Of the Republicans, 70% voted for Candidate Smith, and of the non-Republicans, 10% voted for Candidate Smith.
Suppose the current exchange rate for the Polish zloty is Z 2.85. The expected exchange rate in three years is Z 2.93. What is the difference in the annual inflation rates for the United States and Poland over this period?
What is y > x/2 - 4 graphed and the m and b listed
A hollow cone is cut by a plane parallel to the base and the upper portion is removed. if the volume of the frustum obtained is 26/27 of volume of the cone. find at what height above the base the section is made, if height of the cone is 30cm
Calculate the margin of error that would be used to determine a 99% confidence interval for the mean pulse rate of all women.
Amy walks from Point A to point B along the segment AB. Fraser walks from point C to D along the segment CD. Which statement is correct
Find the distance of the ship from the lighthouse.
Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.40. The fixed cost to run the grinding machine is $92 per day. If the company sells the reground platens for $4.40, how many must be reground daily to break even?
Find the equation of the perpendicular bisector of the line drawn between two points and determine the center and radius of the circle equation.
If you roll two standard six-sided dice and take the sum of the numbers on each die, which sum happens most often? Be sure to show your work for full credit.
a card drawn from a standard deck of playing cards. a)what is probability that it is an ace? b)what is probability tu be a face card.
What is the planning value for the population standard deviation and how large a sample should be taken if the desired margin of error is as shown below (to the nearest whole number)?
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