word problem

Question

a manufacturer can produce and sell x cameras per week. Weekly costs in dollars are given by: C(x)=30x+800 ad revenue is given by R(x)=110x. 

 

Algebraically determine the break even point. 

 

Graphically determine the break even point. 

Answer 1

The breakeven point is when Cost (cumulation) = Revenue (cumulation) for a quantity x.

 

Set the two expressions, Cost & Revenue, equal; solve said linear equation for x.

 

To determine the breakeven point, graph each of the lines; their intersection is the desired point.