A manufacturer produces two kinds of sets , set A consist of 2 bats and 3 balls and earns profit of $3, set B consist of 2 balls , 5 bats and a net which earns profit of $5, in an hour a factory can produce at most 56 bats, 108 balls and 18 nets. Summarize in a table assuming that x sets of A and y sets of B are made each hour and write an expression if profit is made $p . Determine how many sets of set A and set B manufacturer must make to maximize his profit ? Are any components under utilized when the maximum profit is achieved?

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

mathpapa

step-by-step explanation:

noncoplanar points are points that do not lie on the same line.