A surfboard sharper has to limit the cost of development and production to $309 per board. He has already spent $71,448 on equipment for the boards.

Question

The development and production costs are $153 per board. The cost per board is 153x+71448 divided by x. How many boards must be sold to limit the cost per board to $309?

Answer 1

"The cost per board is 153x+71448 divided by x" must be less or equal than $309.

 In this case we can use just an equation instead of inequality:

 

153x + 71448

--------------------  = 309

          x

 

It gives us 153x +71448 = 309x

                                                                          71448

Simple solution of this equation is x = --------------------------  = 458 boards 

                                                                          309 - 153