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MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
1. Concert Tickets. (section 3.1)
The revenue at the Assembly Center depends on the number of seats sold for the Willie Williams and the Wranglers concert. At $10 per ticket, they will fill all 8000 seats. The manager knows that for every $1 increase in the price, 500 tickets will go unsold. If the revenue in dollars,
R(p), is given by R(p) 500p2 13,000p , where p is the price per ticket sold.
(a) What ticket price will produce a maximum revenue? What is the maximum revenue? You
must show this algebraically.
(b) Find the number of unsold seats that resulted in this maximum revenue given the following n 13000 500 p where n is the number of seats sold and p is the price. You must show this
algebraically.
MAT 171 Name:________________________________________________________ Lab 3 Summer Date:_____________________________________
2. Solving a polynomial equation (section 3.2 and 3.3) f(x)6x3 25x2 24x5
(a) Using the above function, demonstrate use of the Rational Root Test to list (unrepeated) all the potential rational zeros.
(b) Using the above function, demonstrate the following: (i) selecting divisors from the potential rational zeros, (ii) using Remainder Theorem to check whether it is a zero, (iii) whenever it is a zero use synthetic division to find the depressed polynomial, and (iv) repeating until you have the function down to a “solvable” function.
(c) Once you have the function down to a “solvable function”, either factor (if possible), use quadratic formula, or square root property to find the remainder of the zeros (real and/or imaginary). Put all solutions in a solution box.
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