Math 250 Business Calculus
This is Paper Test # 3 [Go to web quiz 3]
(Extrema, Worded Problems)
Numerical answers are in our text, Hoffman 11^th edition;
Methods will be discussed using other problems
Links to other web pages were not on original test;
CAUTION: Prof McFarland makes new tests each semester.

Mathematics 250 Test 3 Quiz (Perfect = 10) given Fall 2017 Credit given in proportion to the clarity of your WORK You need not evaluate anything beyond a point where a calulator is necessary Average grade on this test : 7.48 See future grade prospects?

__________________   PRINT name above grades     paper test   web work ____________________ Total (max = 10)

Note that the table at the right is a   1st derivative test Review these ideas??

test value smallest CV test value largest CV test value x -2   +2   +6 f '(x)   0   0   kind of CV Relative Max Relative Min or Ledge Max Min Ledge Max Min Ledge

[2]
	(#13 Pg 279) A Florida citrus grower estimates that if 6O orange trees are planted, the average yield per tree will be 4OO oranges. The average yield will decrease by 4 oranges PER TREE for each additional tree planted in his orchard. How many trees x should the grower plant to maximize total yield Y
	For the problem in the box above, complete the equations which express the relationship between x and Y (show work: one number given as a reality check). Enter numbers (not variables) in the 8 boxes below.
	(1 point, and helpful hint) Yield per tree = N = x +
	(1 point) Total yield (from all trees) Y(x) = x2 + x + 0

Differentiate the above Y twice to find and test any CVs of Y, and finally name the value of x at which Y is largest.

(1 point) Y '(x) = (1 point) Y "(x) = (1 point) Thus, Y is biggest when x =

See a similar worded problem translated ?