Question

The revenue for selling a units of a product is R = 50x. The cost of producing a units is C = 20x + 7800. In order to obtaina profit, the revenue must be greater than the cost, so we want to know, for what values of x will this product return a profit.To obtain a profit, the number of units must be greater than ___

Answer 1

revenue must be greater than cost

R > C

50x > 20x + 7800

Solve this inequality

Subtract 20x from each side

50x-20x > 20x -20x+ 7800

30x> 7800

Divide each side by 30

30x/30 > 7800/30

x > 260

The number of units sold must be greater than 260