At a selling price of $ 54 , a lamp company breaks even on total sales of $ 3564 . If the company's overhead is $ 396 , find the marginal production cost per lamp and find the profit on sales of 145 lamps.

If there are x lamps, then

54x = 3564
So, there are 66 lamps sold

If they cost c each, then

66c + 396 = 3564
So, the cost is 48.

So, for 145 lamps, the profit is

145*(54-48) - 396 = 474