Sp00ex2 - Sp 00 EGN 3420 Exam 2 Name _ Show All Work!...

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EGN 3420 Exam 2 Name ________________________ Show All Work! Problem 1 (35 pts) A retail store owner is trying to determine the best price for a popular tee-shirt. He has been experimenting with different prices to assess its effect on sales. The following sales records have been accumulated over the past six weeks. Week No. 1 2 3 4 5 6 Shirt Price ( p ) $3.00 $6.00 $5.25 $3.75 $3.50 $4.75 Weekly Sales ( s ) 855 296 403 738 804 512 a) Find the coefficients a 0 , a 1 , . ..., a 5 in the standard form of the interpolating polynomial 5 2 3 4 5 0 1 2 3 4 5 ( ) s p a a p a p a p a p a p = + + + + + by solving the 6 x 6 system of equations, Ax b = where x is the vector 0 1 2 3 4 5 [ ] . T a a a a a a You can use your calculator to find the solution. Express all answers in scientific notation with 4 places after the decimal point in the mantissa. b) Estimate the amount of weekly sales if the shirts are priced at $5.00 each. c)
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This note was uploaded on 06/09/2011 for the course EGM 4320 taught by Professor Klee during the Spring '11 term at University of Central Florida.

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Sp00ex2 - Sp 00 EGN 3420 Exam 2 Name _ Show All Work!...

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