Some years ago it was estimated that the demand for steel approximately satisfied the equation p=194-25x x, and the total cost of producing x units of steel was upper c left parenthesis x right parenthesis equals 145 plus 40 x. (the quantity x was measured in millions of tons and the price and total cost were measured in millions of dollars.) determine the level of production and the corresponding price that maximize the profits.

Slimwood corporation made sales of $ 725 million during 2018. of this amount, slimwood collected cash for $ 670 million. the company's cost of goods sold was $ 300 million, and all other expenses for the year totaled $ 400 million. also during 2018, slimwood paid $ 420 million for its inventory and $ 285 million for everything else. beginning cash was $ 110 million. carter's top management is interviewing you for a job and they ask two questions: (a) how much was carter's net income for 2018? (b) how much was carter's cash balance at the end of 2016? you will get the job only if you answer both questions correctly.