GS 510
Homework (Oct 23)
A. Hulpke
11) Write a program that uses Newton iteration to find two different zeroes of a function
in an interval. (The program will have to select different start values until it has found two
different zeroes.) Use this program to determine the zeroes of f (x) = esin(x) − 1.5, 0 ≤ x ≤ 3.
(This problem is due October 18)
15) (Numbers in this problem seem to be a bit out of touch with reality...)
A furniture company produces chairs, sofas and shelves. A chair sells for 80$, a sofa for
70$ and a shelf for 120$.
Carpentry on a chair takes 6 hours, on a sofa 3 hours and on a shelf 8 hours. Finishing
work taks 1 hour each on a chair or a sofa and 2 hours on a self. Upholstery of a chair takes
2 hours and 5 hours on a sofa.
The company has 768 carpentry hours, 144 finishing hours and 216 upholstry hours
available.
Maximize the profit.