Find the maximum and minimum values of the function f(x, y, z, t) = x + y + z+t subject to the constraint x? + y? + z2 + t? = 225. Maximum value is Occuring at points (positive integer or "infinitely many"). Minimum value is occuring at points (positive integer or "infinitely many").

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Let a, b and c be real numbers that satisfy b a+ C C a = C+ = 2 - - - a b (A) 3 (B) 5 Find the maximum value of (C) 7 a+b+c (D) 9

Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day. 0 Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full credit. You will need to include four lines. 25 24 VI